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__NOTOC__{{LifeLine|vol=11|date=September 1973}}
__NOTOC__{{LifeLine|vol=11|date=September 1973}}
<center><pre>A QUARTERLY NEWSLETTER FOR ENTHUSIASTS OF JOHN CONWAY'S GAME OF LIFE
O    OOOOO OOOOO OOOOO O    OOOOO O  O OOOOO
O      O  O    O    O      O  OO  O O   
O      O  OOO  OOO  O      O  O O O OOO 
O      O  O    O    O      O  O  OO O   
OOOOO OOOOO O    OOOOO OOOOO OOOOO O  O OOOOO
Number 11                                              SEPTEMBER 1973</pre>
&bull; Editor and Publisher: [[Robert T. Wainwright]] &bull;</center>


====Page 1====
====Page 1====
<small>''View [[:File:Lifeline vol 11.png|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11.png|scan of this page]]''</small>


The unique letter published in [[Lifeline Volume 10|LIFELINE Number Ten]] has triggered quite a few similar responses by other readers. In fact so many replies were received that I decided to extend this issue of [[Lifeline|LIFELINE]] to 24 pages to give proper credit. This overwhelming response is especially appreciated since as the masthead indicates, I have just recently moved and now find editorial time even more scarce. Repeating what was said in Number Ten, I certainly welcome any and all letters of this nature no matter how long or short!
The unique letter published in [[Lifeline Volume 10|LIFELINE Number Ten]] has triggered
quite a few similar responses by other readers. In fact so many
replies were received that I decided to extend this issue of [[Lifeline|LIFELINE]] to 24 pages to give proper credit. This overwhelming
response is especially appreciated since as the masthead indicates,
I have just recently moved and now find editorial time even more
scarce. Repeating what was said in Number Ten, I certainly welcome
any and all letters of this nature no matter how long or short!


As the contents of this issue testify, [[Conway's Game of Life|Life]] continues to yield more new and interesting discoveries.
As the contents of this issue testify, [[Conway's Game of Life|Life]] continues to yield more
new and interesting discoveries.


<pre>
{{EmbedViewer
Thompson's piece de resistance
|rle          = x = 4, y = 4, rule = B3/S23
OOO
3o$ob2o$o2bo$3bo!
O OO
|viewerconfig = #C [[ AUTOFIT OFF X 0 Y 0 WIDTH 768 HEIGHT 384 ZOOM 64 ]]
O  O
|position    = center
  O
|caption      = Thompson's piece de resistance
</pre>
}}


Three years ago, before we even knew about Life, Conway was busy tracking the smaller ominoes and tabulating the outcomes of each. Had he continued his research, he would have made an amazing discovery for one of the nominoes spawns a lightweight spaceship which successfully escapes! This discovery, shown here on the cover page of LIFELINE Number Eleven, was just recently made by Hugh W. Thompson of Lefrak City, New York who has now successfully tracked all th ominoes up to and including the 1285 nonominoes. The final census of Thompson's 'piece de resistance' includes 13 blocks, 1 boat, 1 beehive, 1 ship, 4 blinkers, 2 trafic lites, 3 gliders (NW,SW,SE) and 1 lightweight spaceship (E)! Formed in generation 198, the 'natural light weight' is about 300 cells east of the debris which finally subsides by generation 800.
Three years ago, before we even knew about Life, Conway was busy
tracking the smaller ominoes and tabulating the outcomes of each.
Had he continued his research, he would have made an amazing discovery
for one of the nominoes spawns a lightweight spaceship
which successfully escapes! This discovery, shown here on the cover
page of LIFELINE Number Eleven, was just recently made by Hugh W.
Thompson of Lefrak City, New York who has now successfully tracked
all the ominoes up through and including the 1285 nonominoes. The
final census of Thompson's 'piece de resistance' includes 13 blocks,
1 boat, 1 beehive, 1 ship, 4 blinkers, 2 trafic<!--sic--> lites, 3 gliders
(NW,SW,SE) and 1 lightweight spaceship (E)! Formed in generation
198, the 'natural light weight' is about 300 cells east of the
debris which finally subsides by generation 800.


Now for some interesting and varied replies and articles sent in by the more energetic Lifenthusiasts and Lifanatics:
Now for some interesting and varied replies and articles sent in
by the more energetic Lifenthusiasts and Lifanatics:


====Page 2====
====Page 2====
Line 37: Line 45:
Reader Reply . . .
Reader Reply . . .


Dear Mr.Wainwright
Dear Mr.Wainwright<br />
 
<!--    -->After weeks of long and frustrating effort,I<!--all commas in the section have no following space--> have engineered the following
    After weeks of long and frustrating effort,I<!--all commas in the section have no following space--> have engineered the follow-
fuse, along with the two gliders that trigger it.
ing fuse, along with the two gliders that trigger it.


[insert viewer here]
{{EmbedViewer
|rle          = x = 81, y = 22, rule = B3/S23
$32b2o$ob2ob2ob2ob2ob2ob2ob2ob2ob2o4b2o$2ob2ob2ob2ob2ob2ob2ob2ob2obo9b2o$37b2o$31b2o9b2o$31b2o9b2o$36b2o9b2o$36b2o9b2o$41b2o$41b2o7b2o$46b2obo2bo$46b2obo2bo$50b2o$53b2o$53bobo$53bo2$57b2o$57bobo$57bo!
|viewerconfig = #C [[ AUTOFIT OFF X 11 Y 1 WIDTH 1760 HEIGHT 484 ZOOM 22 ]]
|position    = center
}}


    The block section of the fuse can be extended to any length whatsoever,
<!--    -->The block section of the fuse can be extended to any length whatsoever,
or eliminated altogether,placing the pond in conjunction with the second part
or eliminated altogether,placing the pond in conjunction with the second part
of the fuse.
of the fuse.<br />
 
<!--    -->The first glider,shown about to collide with the pond,converts it into
    The first glider,shown about to collide with the pond,converts it into
a ship in 3 generations. The ship(FIG.1)remains until the second glider hits
a ship in 3 generations. The ship (FIG.1)remains until the second glider hits
it,and in 4 generations,they are mutually annihilated. However,the fading
it,and in 4 generations,they are mutually annihilated. However,the fading
debris the ship,converts the adjacent
debris the ship,converts the adjacent
block into a latent beehive(FIG.2),and
block into a latent beehive(FIG.2),and
this sets off the first part of the fuse.
this sets off the first part of the fuse.
{{gallery top}}
{{gallery item|{{EmbedViewer
|rle          = x = 10, y = 7, rule = B3/S23
$5b2o$b2obobo$b2ob2o$7b2o$7bobo$7bo!
|viewerconfig = #C [[ AUTOFIT OFF X 0 Y 0.46875 WIDTH 560 HEIGHT 420 ZOOM 60 ]]
|position    = center
|caption      = FIG.1
}}}}
{{gallery item|{{EmbedViewer
|rle          = x = 29, y = 10, rule = B3/S23
$4b2o8b2o9b2o$4b2o8b2o9b2o2$7b2o8bo$3b2obo6b2obo7b3o$3b2obo3bo2b2o9b3o$10bo$8bo$9bo!
|viewerconfig = #C [[ AUTOFIT OFF X 1.5 Y 0 WIDTH 696 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = FIG.2
}}}}
{{gallery bottom}}


[insert viewers here]
<!--    -->The beehive  interacts
 
The beehive  interacts
vigorously with the upper block
vigorously with the upper block
and in 8 generations,only the
and in 8 generations,only the
Line 64: Line 89:
the destruction of the beehive
the destruction of the beehive
converts the next block in the lower wave,into a latent beehive,and causes
converts the next block in the lower wave,into a latent beehive,and causes
the cycle of the first part of the fuse to repeat.(FIG.3).EN: see No.1,p.5.
the cycle of the first part of the fuse to repeat.(FIG.3).EN: see [[Lifeline Volume 1#Page 5|No.1,p.5]].<br />
 
<!--    -->The first part of the fuse has a period of 6.
    The first part of the fuse has a period of 6.


====Page 3====
====Page 3====
<small>''View [[:File:Lifeline vol 11 p3.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p3.jpg|scan of this page]]''</small>
 
{{gallery top}}
[insert viewers here]
{{gallery item|{{EmbedViewer
|rle          = x = 12, y = 11, rule = B3/S23
$4b2o$4b2o$9b2o$7bo2bo$3b2o$3b2obo2$7b2o$9bo!
|viewerconfig = #C [[ AUTOFIT OFF X 1.375 Y 1.46875 WIDTH 564 HEIGHT 517 ZOOM 47 ]]
|position    = center
|caption      = FIG.3
}}}}
{{gallery item|{{EmbedViewer
|rle          = x = 36, y = 10, rule = B3/S23
$17b2o$ob2ob2ob2ob2o2bo2bo$2ob2ob2ob2obo9b2o$14bo7b2o$27b2o$15b2o10b2o
$17bo14b2o$32b2o!
|viewerconfig = #C [[ AUTOFIT OFF X 2 Y 1 WIDTH 816 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = FIG.4
}}}}
{{gallery bottom}}


When the first
When the first
Line 77: Line 116:
has reached the
has reached the
second part
second part
(Midgard Serpent)
([[coiled snake|Midgard Serpent]])
the igniting spark
the igniting spark
lights the hori-
lights the horizontal portion
zontal portion
(FIG.4),and converts it into a
(FIG.4),and con-
honeyfarm,producing beehives at the rate of one per 12 generations.
verts it into a
honeyfarm,pro-
ducing beehives at the rate of one per 12 generations.


    In developing this configuration,I spent weeks experimenting with fly-
<!--    -->In developing this configuration,I spent weeks experimenting with fly-by
by fuses,and ways to spark off the honeyfarm fuse from the Midgard Serpent.
fuses,and ways to spark off the honeyfarm fuse from the Midgard Serpent.
I had serious trouble with the tendency towards unwanted and destructive
I had serious trouble with the tendency towards unwanted and destructive
interactions. Only in the past few days did I find the block and beehive
interactions. Only in the past few days did I find the block and beehive
Line 94: Line 130:
fuse. That took some brief experimenting with glider still life collisions.
fuse. That took some brief experimenting with glider still life collisions.


    In the course of my experiments in the above,I uncovered a collision
<!--    -->In the course of my experiments in the above,I uncovered a collision
of six gliders that produces a beehive and nothing else. The diagram shows
of six gliders that produces a beehive and nothing else. The diagram shows
the six gliders about to interact.After<!--sic--> 36 generations,the beehive is alone
the six gliders about to interact.After<!--sic--> 36 generations,the beehive is alone
Line 100: Line 136:
completion.
completion.


[insert viewer here]
{{EmbedViewer
|rle          = x = 21, y = 15, rule = LifeHistory
4.A$2.A.A.D$3.2AD.D.A.A$5.D.D.2A$6.D3.A2$3A7.2A$2.A7.A.A$.A8.A4.2A$14.2A$16.A2$19.2A$18.2A$20.A!
|viewerconfig = #C [[ AUTOFIT OFF X 0.5 Y 0.5 WIDTH 576 HEIGHT 408 ZOOM 24 ]]
|position    = center
|caption      = FIG.4
}}


    A pond  is formed in the 6th
<!--    -->A pond  is formed in the 6th
generation from gliders A and B.
generation from gliders A and B.
Gliders C and D crash to form an
Gliders C and D crash to form an
Line 115: Line 157:
(indicated by X-signs).
(indicated by X-signs).


    This seems to be a lot of
<!--    -->This seems to be a lot of
gliders,just to make a beehive.
gliders,just to make a beehive.


    Last of all,I desire the addresses
<!--    -->Last of all,I desire the addresses
of LIFE clubs in New York City, so I
of LIFE clubs in New York City, so I
can try out various problems of mine,
can try out various problems of mine,
Line 124: Line 166:
about LIFE.
about LIFE.


                                                  Yours Truly,
<!--                                                  -->::Yours Truly,
                                                  Paul Wilson
<!--                                                  -->::''Paul Wilson''
<!--                                                  -->::Paul Wilson


====Page 4====
====Page 4====
Line 133: Line 176:


The Explosive World of Kinkbombs
The Explosive World of Kinkbombs
By Mark Horton
By Mark Horton


    I became interested in LIFE about a year ago and wanted to do
<!--    -->I became interested in LIFE about a year ago and wanted to do
somothing<!--sic--> original.  Then I was hit by an idea: suppose I have a stable
somothing<!--sic--> original.  Then I was hit by an idea: suppose I have a stable
pattern that depends on a fuse for stability?  That is, a pattern which
pattern that depends on a fuse for stability?  That is, a pattern which
Line 145: Line 189:
simplest such pattern is the fencepost. (1)  This pattern becomes a block,
simplest such pattern is the fencepost. (1)  This pattern becomes a block,
but in how many generations?  I needed a starting point, a defined generation
but in how many generations?  I needed a starting point, a defined generation
0.  Hence defined Effective Age (EA) of a SFE to be the age of a pattern
0.  Hence I defined Effective Age (EA) of a SFE to be the age of a pattern
which 1) is a successor to the given pattern with a long fuse, 2) is
which 1) is a successor to the given pattern with a long fuse, 2) is
identical to the pattern and has either a short or no fuse, and 3) has the
identical to the pattern and has either a short or no fuse, and 3) has the
shortest possible fuse consistant<!--sic--> with 1 and 2.  Thus the given pattern
shortest possible fuse consistant<!--sic--> with 1 and 2.  Thus the given pattern
for the fence post is [insert image here] and it's<!--sic--> ea is 1.
for the fence post is [insert image here] and it's<!--sic--> ea is 1.<br />
 
<!--    -->I then discovered that it is possible to place "kinks" in a diagonal
    I then discovered that it is possible to place "kinks" in a diagonal
fuse without affecting its stability.  The kink can go either way, as in
fuse without affecting its stability.  The kink can go either way, as in
(2) and (3).  Any number of kinks can be placed in a fuse, and if they are
(2) and (3).  Any number of kinks can be placed in a fuse, and if they are
sufficiently spaced, they do not effect<!--sic--> it's<!--sic--> stability.  I can now consider
sufficiently spaced, they do not effect<!--sic--> it's<!--sic--> stability.  I can now consider
the entire conglomeration of kinks, fuses, and fencepost as the fuse end,
the entire conglomeration of kinks, fuses, and fencepost as the fuse end,
with 1 fuse extending from it.
with 1 fuse extending from it.<br />
 
<!--    -->Then I needed a classification system for these patterns, or "kinkbombs",
    Then I needed a classification system for these patterns, or "kinkbombs",
as I call them.  I do this by a series of numbers, separated by dashes.
as I call them.  I do this by series of numbers, separated by dashes.
The first number is the number of kinks.  There are then that many numbers,
The first number is the number of kinks.  There are then that many numbers,
each telling how many extra bits (besides the 6 required for each kink and
each telling how many extra bits (besides the 6 required for each kink and
Line 165: Line 207:
universal orientation, I hold the first kink positive, and allow the fencepost
universal orientation, I hold the first kink positive, and allow the fencepost
and all other kinks to turn either way.  A number in the series may be
and all other kinks to turn either way.  A number in the series may be
  negated to indicate a negative kink, or a turned down fencepost.  Each
<!--  -->negated to indicate a negative kink, or a turned down fencepost.  Each
number indicates the direction of the kink after the bits whose number it
number indicates the direction of the kink after the bits whose number it
indicates.  The last one is for the fencepost.  See some examples in the
indicates.  The last one is for the fencepost.  See some examples in the
Line 176: Line 218:
     9    ORDER 2 - (-2) - (-2) KINKBOMB
     9    ORDER 2 - (-2) - (-2) KINKBOMB
     The fencepost can be considered the order 0 kinkbomb.
     The fencepost can be considered the order 0 kinkbomb.
     I have been working on the single kink kinkboms from order 1 - (-10)
     I have been working on the single kink kinkbombs from order 1 - (-10)
through 1 - 10.  All are known except the 1 - 7.
through 1 - 10.  All are known except the 1 - 7.


                The order 1 - 7 has gone over 3000 generations and is still
<!--                -->The order 1 - 7 has gone over 3000 generations and is still
going strong.  The average EA of the 18 known (1 - (-0)) and 1 - (-1) are not
going strong.  The average EA of the 18 known (1 - (-0) and 1 - (-1) are not<!--sic, perhaps, due to missing closing bracket-->
spaced far enough apart to be SFE's) kinkbombs is 218 generations.  So I
spaced far enough apart to be SFE's) kinkbombs is 218 generations.  So I
seem to have a gold mine of bombs.  I define a "Dud" as a SFE that terminates
seem to have a gold mine of bombs.  I define a "Dud" as a SFE that terminates
within 10 generations of when the fencepost is reached, a "Firecracker" as
within 10 generations of when the fencepost is reached, a "Firecracker" as
one with an EA less than 200 which not a "Dud", and a "Bomb" as one with
one with an EA less than 200 which is not a "Dud", and a "Bomb" as one with
an EA over 200.  Out of 18 known Kinkbombs, 4 are duds, 9 are firecrackers,
an EA over 200.  Out of the 18 known Kinkbombs, 4 are duds, 9 are firecrackers,
and 5 are Bombs.  The 1 - 7 and 1 - (-10) are also bombs.  The 1 - (-2) and
and 5 are Bombs.  The 1 - 7 and 1 - (-10) are also bombs.  The 1 - (-2) and
1 - (-6) both form a block and a blinker, both are duds, but the blinker is
1 - (-6) both form a block and a blinker, both are duds, but the blinker is
Line 193: Line 235:
<small>''View [[:File:Lifeline vol 11 p5.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p5.jpg|scan of this page]]''</small>


[insert viewers here]
{{EmbedViewer
|rle          = #C [[ LABEL 5 10 13 "1 (Fencepost)" LABEL 23 10 13 "2 (positive kink)" LABEL 40 10 13 "3 (negative kink)" LABEL 7 27 13 "4 (1 - 0)" LABEL 21 25 13 "5 (1 - 7)" LABEL 40 25 13 "6 (1 - (-2))" LABEL 5 40 13 "7 (2 - 2 - 2)" LABEL 22 40 13 "8 (2 - (-2) - 2)" LABEL 41 41 13 "9 (2 - (-2) - (-2))" LABEL 5 54 13 "10 (1 - (-2))" LABEL 22 52 13 "11 (1 - (-6))" ]]
x = 50, y = 53, rule = LifeHistory
37.C$38.C$39.C$2.C16.C20.C$3.C16.C18.2C$4.C16.C.2C14.C$5.C16.2C.C14.C$6.C.C17.C14.C$7.2C18.C14.C5$17.19F$17.F17.F$17.F.C15.F$17.F2.C14.F$17.F3.C.2C10.F$17.F4.2C.C9.F.C$17.F8.C8.F2.C$2.C14.F9.C7.F3.C$3.C13.F10.C6.F4.C.2C$4.C12.F11.C5.F5.2C.C$5.C11.F12.C4.F9.C$6.C.2C.C5.F13.C.C.F10.C$7.2C.2C5.F14.2C.F9.2C$17.F17.F$17.33F$35.F13.F$35.F.C11.F$19.C15.F2.C10.F$20.C14.F3.C.2C6.F$18F3.C.2C10.F4.2C.C5.F$F16.F4.2C.C9.F8.C4.F$F.C14.F8.C8.F9.C3.F$F2.C.2C10.F9.C7.F8.2C3.F$F3.2C.C9.F8.2C7.F8.C4.F$F7.C.2C5.F8.C8.F9.C3.F$F8.2C.C4.F9.C7.F10.C2.F$F12.C.C.F10.C.C4.F11.C.F$F13.2C.F11.2C4.F10.2C.F$F16.F17.F13.F$18F17.15F2$20.2A$19.2A.A$23.A.D$24.AD$3.CA20.C$2.AC.A20.A$3.D2.A20.A$6.DC19.DC$6.2C19.2C!
|viewerconfig = #C [[ AUTOFIT OFF X 0 Y 2 WIDTH 650 HEIGHT 728 ZOOM 13 ]]
|position    = center
|caption      = FIG.3
}}


Note: the number of bits
Note: the number of bits
Line 205: Line 254:
segments.
segments.


Results
<!--leading space added to each line, to make it a contiguous monospaced section (otherwise the 'EN:' causes a break)-->
 
                  Results
    Class  Order    EA    Pop    Census
 
      Class  Order    EA    Pop    Census
    Dud    0      1      4      [[block|b]]
    FC    1-0    16      3      [[blinker|+]]
      Dud    0      1      4      [[block|b]]
    FC    1-1    23      0      [[nothing|&Theta;]]
      FC    1-0    16      3      [[blinker|+]]
    FC    1-2    187    55      +,2 [[traffic light|t.lite]]/2,6 [[beehive|B]], 2 [[pond]] ([[pi-heptomino|pi]])
      FC    1-1    23      0      [[nothing|&Theta;]]
    FC    1-3    87      0      &Theta;
      FC    1-2    187    55      +,2 [[traffic light|t.lite]]/2,6 [[beehive|B]], 2 [[pond]] ([[pi-heptomino|pi]])
    Dud    1-4    16      4      b
      FC    1-3    87      0      &Theta;
    FC    1-5    116    9      b,[[glider|g]]
      Dud    1-4    16      4      b
    FC    1-6    100    16      4b
      FC    1-5    116    9      b,[[glider|g]]
EN: *BOMB  1-7    >3200<!--pattern actually only lasts 2498 generations-->
      FC    1-6    100    16      4b
    BOMB  1-8    428    56      [[ship|S]],2g,7b,2+,B
EN: *BOMB  1-7    >3200<!--pattern actually only lasts 2498 generations-->
    FC    1-9    137    16      3/4 t.lite, [[loaf|L]]
      BOMB  1-8    428    56      [[ship|S]],2g,7b,2+,B
    FC    1-10    54      12      2B
      FC    1-9    137    16      3/4 t.lite, [[loaf|L]]
    Dud    1-(-2)  8      7      b,+
      FC    1-10    54      12      2B
    BOMB  1-(-3)  984    282    4g,19b,5+,2 3/4 t.lite,10B,1 [[honey farm|hf]]/2,3L,1 [[tub]],3 [[boat]]s,3S,pond
      Dud    1-(-2)  8      7      b,+
    Dud    1-(-4)  16      4      b
      BOMB  1-(-3)  984    282    4g,19b,5+,2 3/4 t.lite,10B,1 [[honey farm|hf]]/2,3L,1 [[tub]],3 [[boat]]s,3S,pond
    BOMB  1-(-5)  278    45      5b,3+,2g,S
      Dud    1-(-4)  16      4      b
    Dud    1-(-6)  16      7      b,+
      BOMB  1-(-5)  278    45      5b,3+,2g,S
    BOMB  1-(-7)  1192    173    2g,16b,4+,1&half; t.lite,5B,4L,[[barge]],boat
      Dud    1-(-6)  16      7      b,+
    FC    1-(-8)  75      6      B
      BOMB  1-(-7)  1192    173    2g,16b,4+,1&half; t.lite,5B,4L,[[barge]],boat
    BOMB  1-(-9)  204    24      2B,b,+,boat
      FC    1-(-8)  75      6      B
    BOMB  1-(-10) 580    122    7+,1 3/4 t.lite,8b,3B,L,pond,3 boats
      BOMB  1-(-9)  204    24      2B,b,+,boat
      BOMB  1-(-10) 580    122    7+,1 3/4 t.lite,8b,3B,L,pond,3 boats


====Page 6====
====Page 6====
<small>''View [[:File:Lifeline vol 11 p6.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p6.jpg|scan of this page]]''</small>


Robert T. Wainwright
Robert T. Wainwright<br />
Editor, Lifeline
Editor, Lifeline<br />
Dear Bob:
Dear Bob:<br />
 
<!--    -->In [[Lifeline Volume 10|the June 1973 issue]] of Lifeline, [[Douglas G. Petrie|Mr. D. G. Petrie]] asked
    In the June 1973 issue of Lifeline, Mr. D. G. Petrie asked
about collisions of objects having different symbols, wherein
about collisions of objects having different symbols, wherein
the resultant configuration contained some of both symbols.
the resultant configuration contained some of both symbols.
The following examples of this type were discovered while in—
The following examples of this type were discovered while investigating
vestigating glider—glider collisions.  The initial and final
glider—glider collisions.  The initial and final
configurations are shown in the attached set of figures.  In
configurations are shown in the attached set of figures.  In
these figures, the configurations are horizontally true and the
these figures, the configurations are horizontally true and the
same vertical row is marked by an arrow.
same vertical row is marked by an arrow.<br />
EN: also see pages 12 and 13
EN: also see pages 12 and 13
                                        Sincerely Yours,
<!--                                        -->::Sincerely Yours,
                                        William P. Webb
<!--                                        -->::''William P. Webb''
<!--                                        -->::William P. Webb
 
{{EmbedViewer
|rle          = x = 68, y = 11, rule = Immigration
5.B$5.B.B10.2B$.A3.2B11.2B31.A$2.A49.A$3A47.3A12.2A$17.2A36.2B7.A2.B$17.2A36.B.B7.A.B$27.A3.B23.B10.B$25.A.A3.B.B$26.2A3.2B7.2A.2B$40.2A.2B!
|viewerconfig = #C [[ AUTOFIT OFF X 0 Y 0 WIDTH 1800 HEIGHT 384 ZOOM 24 LABEL 4 8 13 "Gen 0" LABEL 17 8 13 "Gen 8" LABEL 29 12 13 "Gen 0" LABEL 42 12 13 "Gen 7" LABEL 53 10 13 "Gen 0" LABEL 65 10 13 "Gen 10" ]]
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}}
{{EmbedViewer
|rle          = x = 69, y = 52, rule = Immigration
5.B$5.B.B42.3A4.3B$5.2B24.A4.B$17.B14.A2.B12.A12.B$.A14.B.B11.3A2.3B10.A12.B$2.A13.B2.B28.A12.B$3A14.2B$50.3A4.3B2$14.A$14.A$14.A9$.A28.A$2.A28.A$3A26.3A$16.BA28.2B$16.BA28.2A$5.3B24.3B$5.B26.B$6.B26.B2$59.2A$59.2A2.2A$63.2A$19.2B$19.2B4$.A3.3B6.2A24.A$2.A2.B8.2A6.2B17.A$3A3.B15.2B15.3A$45.B.B$45.2B$46.B$17.2A$17.2A5$63.2B$63.2B2.2B$67.2B!
|viewerconfig = #C [[ AUTOFIT OFF X 0 Y 0 WIDTH 1800 HEIGHT 1368 ZOOM 24 LABEL 4 14 13 "Gen 0" LABEL 16 14 13 "Gen 30" LABEL 33.5 10 13 "Gen 0" LABEL 54.5 10 13 "Gen 22" LABEL 3.5 29 13 "Gen 0" LABEL 16.5 29 13 "Gen 10" LABEL 31.5 29 13 "Gen 0" LABEL 46.5 29 13 "Gen 8" LABEL 3.5 47 13 "Gen 0" LABEL 18.5 47 13 "Gen 20" LABEL 42.5 53 13 "Gen 0" LABEL 63.5 53 13 "Gen 70" ]]
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[insert viewer here]


====Page 7====
====Page 7====
<small>''View [[:File:Lifeline vol 11 p7.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p7.jpg|scan of this page]]''</small>
June 10, 1973


Reader Reply(s):
Reader Reply(s):


June 10, 1973
Robert T. Wainwright<br />
Lifanatic-in-chief


Robert T. Wainwright
Dear Sir:    Besides the 14-bit naturally occuring<!--sic--> objects you mentioned, 14.322
Dear Sir:    Besides the naturally occuring<!--sic--> objects you mentioned, 14.322
(bookends) and the 18-bit "[[dead spark coil]]" have been reported as puffer product.
(bookends) and the 18-bit "dead spark coil" have been reported as puffer product.
I can help answer the question of the probability of occurence<!--sic--> of various objects,
I can help answer the question of the probability of occurence<!--sic--> of various objects,
because I have been doing a large-scale statistical survey of exactly that.  The me-
because I have been doing a large-scale statistical survey of exactly that.  The method
thod is to collect the census results for all reported configurations which require
is to collect the census results for all reported configurations which require
&GreaterEqual;200 generations to settle down, and add them up.  In the case of symmetric patterns,
&ge;200 generations to settle down, and add them up.  In the case of symmetric patterns,
when 2, 4 or 8 objects are symmetrically equivalent they are counted as one.  A
when 2, 4, or 8 objects are symmetrically equivalent they are counted as one.  A
table of the findings to date is enclosed.  I would appreciate hearing results for
table of the findings to date is enclosed.  I would appreciate hearing results for
all long-lasting methuselahs so that they may be added to the survey.  Desired
all long-lasting methuselahs so that they may be added to the survey.  Desired
data for each object history is initial pattern (picture or description), age, final
data for each object history is initial pattern (picture or description), age, final
census, and all occurences<!--sic--> of constellations such as TL or HF; and for symmetric
census, and all occurences<!--sic--> of constellations such as TL or HF; and for symmetric
patterns, the degree of symmetry and a special note if any objects are located di-
patterns, the degree of symmetry and a special note if any objects are located directly
rectly on a line of symmetry.
on a line of symmetry.<br />
 
A comparison between my census table (page nine) and Thompson's data on small objects
A comparison between my census table (page nine) and Thompson's data on sma11 objects
([[Lifeline Volume 4#Page 10|#4 p. 10-12]]) shows that for most objects the frequency of natural occurrence is
(#4 p. 10-12) shows that for most objects the frequency of natural occurrence is
(roughly) inversely proportional to its area and directly proportional to the number
(roughly) inversely proportional to its area and directly proportional to the num-
of small ancestors.  One noted exception: The ship is much more common than
ber of small ancestors.  One noted exception: The ship much more common than
would be expected; on examination it turns out that most natural ships occur as descendants
would be expected; on examination it turns out that most natural ships occur as de-
of the very common B-heptomino.  The pond and loaf are both rarer than
scendants of the very common B-heptomino.  The pond and loaf are both rarer than
expected, for what reason I know not. EN: is the loaf rare?
expected, for what reason I know not. EN: is the loaf rare?
<!--                                                                      -->::June 17, 1973


 
Robert T. Wainwright<br />
June 17, 1973
 
Robert T. Wainwright
Lifeline Ed.
Lifeline Ed.


Dear Sir:
Dear Sir:<br />
 
The question of determining the degree of <u>"naturalness"</u> of objects is a tricky one
The question of determining the degree of <u>"naturalness"</u> of objects is a tricky one
and an important one.  In line with the material in my June 10 letter I have been
and an important one.  In line with the material in my June 10 letter I have been
trying to develop a numerical measure of naturalness/artificiality which would range
trying to develop a numerical measure of naturalness/artificiality which would range
from, say 1 for the block (the most common object) to &infin; for GOE patterns.  The in-
from, say 1 for the block (the most common object) to &infin; for GoE patterns.  The inverse
verse of the cumulative census count (1/C) gives a direct measurement of artificiality,
of the cumulative census count (1/C) gives a direct measurement of artificiality,
but with the present amount of data it is only valid for the top 10 or 12 objects
but with the present amount of data it is only valid for the top 10 or 12 objects
and patterns.  After some study I have found 5 measurable variables associated with
and patterns.  After some study I have found 5 measurable variables associated with
Life patterns that seem to be useful:  (S) the size (population) of the pattern; (N)
Life patterns that seem to be useful:  (S) the size (population) of the pattern; (N)
the number of ancestors of size &LessEqual; (A) the area occupied by the pattern (obtained
the number of ancestors of size &le;6; (A) the area occupied by the pattern (obtained
by counting all live cells and all cells which have at least one neighbor); (M) the
by counting all live cells and all cells which have at least one neighbor); (M) the
size of the minimum predecessor other than itself (thus for blinker M=4); and (G)
size of the minimum predecessor other than itself (thus for blinker M=4); and (G)
the minimum number of gliders required to construct it.  (As you can sec, your re-
the minimum number of gliders required to construct it.  (As you can sec, your recent
cent suggestions were quite useful.)
suggestions were quite useful.)<br />
 
<!--    -->First of all (S) was eliminated because it measures basically the same thing
    First of all (S) was eliminated because it measures basically the same thing
as (A) does, but with less precision.  The available data is<!--sic: should be "data are"--> somewhat limited, but
as (A) does, but with less precision.  The available data is<!--sic: should be "data are"--> somewhat limited, but
it appears that the quantity 1/C varies directly with (A), inversely with (N), expo-
it appears that the quantity 1/C varies directly with (A), inversely with (N), exponentially
nentia11y with (M), and exponentially with (G).  (N) can be used only for patterns
with (M), and exponentially with (G).  (N) can be used only for patterns
With a 6-bit ancestor, but (A) can quickly be found for any pattern, and thanks to
with a 6-bit ancestor, but (A) can quickly be found for any pattern, and thanks to
the activities of a multitude of Life-freaks (G) is known for many of the "interest-
the activities of a multitude of Life-freaks (G) is known for many of the "interesting"
ing" patterns and (M) is known for almost all of them.  When (G) is not known the
patterns and (M) is known for almost all of them.  When (G) is not known the
approximation G=&half;M will do, and when (M) is not known some quick backtracking by
approximation G=&half;M will do, and when (M) is not known some quick backtracking by
hand will usually yield something Close to it.
hand will usually yield something close to it.<br />
 
<!--    -->With all that in mind, I suggest the following tentative definition for the
    With all that in mind, I suggest the following tentative definition for the
"artificiality factor":<br />
"artificiality factor":
::<tt>AF = (A/16)e<sup>(M+G-5)</sup></tt><br />
 
AF = (A/16)e^(M+G-5)
 
Since adding 1 to M or G will multiply AF by 2.7, this cannot be an exact measure,
Since adding 1 to M or G will multiply AF by 2.7, this cannot be an exact measure,
but it does provide a good order-of-magnitude estimate.  Except in three cases (ship,
but it does provide a good order-of-magnitude estimate.  Except in three cases (ship,
Line 329: Line 387:
for which other measurements do not work.  Some typical AF values are: block 1.00,
for which other measurements do not work.  Some typical AF values are: block 1.00,
blinker 3.58, boat 10.1, TL 13.1, tub 26.4, B-heptomino 32.7. eater 95.9, HF 147 (an
blinker 3.58, boat 10.1, TL 13.1, tub 26.4, B-heptomino 32.7. eater 95.9, HF 147 (an
anomaly there), pentadecathlon 8950, and P30 glider gun 2.8x10^(13).
anomaly there), pentadecathlon 8950, and P30 glider gun 2.8x10<sup>13</sup>.<br />
 
<!--    -->Making a couple of further assumptions, I have been guesstimating the sizes of
    Making a couple of further assumptions, I have been guesstimating the sizes of
random broths necessary in order to expect to see natural occurrences of various rare
random broths necessary in order to expect to see natural occurrences of various rare
patterns (for instance, 10^8x10^8 for the P30 gun).  I would like to know if the as-
patterns (for instance, 10<sup>8</sup>x10<sup>8</sup> for the P30 gun).  I would like to know if the as-
patterns (for instance, 10^8x10^8 for the P30 gun).  I would like to know if the as-
sumptions were justified, and since you seem to have done the most with random-broth
sumptions were justified, and since you seem to have done the most with random-broth
experiments I turn to you for information.  When the pattern has reached a steady-
experiments I turn to you for information.  When the pattern has reached a steady-state
state situation (i.e. swirling around at more-or-less constant density), what is the
situation (i.e. swirling around at more-or-less constant density), what is the
density on the average?  Also, what percentages of the live bits belong respectively
density on the average?  Also, what percentages of the live bits belong respectively
to terminal forms, easily recognizable nonterminals (pi, r, etc.), and amorphous
to terminal forms, easily recognizable nonterminals (pi, r, etc.), and amorphous
Line 344: Line 400:
would equal (constant)/(area), but I have no idea what it might be for the glider or
would equal (constant)/(area), but I have no idea what it might be for the glider or
how to calculate it for other moving objects.  Can you supply this information, if
how to calculate it for other moving objects.  Can you supply this information, if
available, please?
available, please?<br />
 
<!--    -->This whole line of investigation has an important bearing on some intriguing
    This whole line of investigation has an important bearing on some intriguing
speculations by Conway.  He has suggested that, given a sufficiently large random
speculations by Conway.  He has suggested that, given a sufficiently large random
pattern, it is likely that by pure chance Life computers and self-replicating ani-
pattern, it is likely that by pure chance Life computers and self-replicating animals
mals would form out of the broth, that thru interaction with the surrounding random
would form out of the broth, that thru interaction with the surrounding random
debris these patterns would mutate and evolve, and that in this way a large Life pat-
debris these patterns would mutate and evolve, and that in this way a large Life pattern
tern would in fact be a simulation of real-life biological processes.  If AF or some
would in fact be a simulation of real-life biological processes.  If AF or some
similar measurement proves to be a reliable indicator, we might then be able to cal-
similar measurement proves to be a reliable indicator, we might then be able to calculate
culate how large a starting pattern and how many generations would be needed to create
how large a starting pattern and how many generations would be needed to create
a truly "living" Life-form.  It would be interesting to see how these numbers might
a truly "living" Life-form.  It would be interesting to see how these numbers might
compare with, say, the atomic weight of an amoeba and the length of time it took for
compare with, say, the atomic weight of an amoeba and the length of time it took for
the first amoeba to evolve on Earth.
the first amoeba to evolve on Earth.


I expect shortly to have computer access, so hopefully I can start running some large-
I expect shortly to have computer access, so hopefully I can start running some large-scale
scale patterns.  Most of the previously-sent items were found by hand, and I have
patterns.  Most of the previously-sent items were found by hand, and I have
been living in deathly fear that someone would run one of my collisions and discover
been living in deathly fear that someone would run one of my collisions and discover
it didn't work.  I will try to run as many methuselahs as possible, so that in a cou-
it didn't work.  I will try to run as many methuselahs as possible, so that in a couple
ple of months I can send you some updated and expanded results for the cumulative
of months I can send you some updated and expanded results for the cumulative
census.
census.


It has occurred to me that the census count for TL and HF may be slightly low because
It has occurred to me that the census count for TL and HF may be slightly low because
several results reported in Lifeline apparently lumped these patterns together with
several results reported in Lifeline apparently lumped these patterns together with
the blinkers and beehives.  I would like to know (if the data exists<!--sic: should be "data exist"-->) if there were
the blinkers and beehives.  I would like to know (if the data exists<!--sic: should be "data exist" (or should it)-->) if there were
any instances of TL or HF in these final censuses:  glider-cigar crash (#4 p.5), Y34
any instances of TL or HF in these final censuses:  glider-[[Mango|cigar]] crash ([[Lifeline Volume 4#Page 5|#4 p.5]]), Y34
fuse ignition smoke (#4 p.7), Horton's "five" (#7 p.8), and the nonominoes N-1 and
fuse ignition smoke ([[Lifeline Volume 4#Page 7|#4 p.7]]), Horton's "five" ([[Lifeline Volume 7#Page 8|#7 p.8]]), and the nonominoes N-1 and
N-2 (#10 p.2).
N-2 ([[Lifeline Volume 10#Page 2|#10 p.2]]).


That's all I can think of right now. I hope the preliminary suggestions I have made
That's all I can think of right now. I hope the preliminary suggestions I have made
Line 377: Line 432:
useful measurements? EN: I think this is an excellent beginning - any ideas
useful measurements? EN: I think this is an excellent beginning - any ideas
from other readers?
from other readers?
::''Doug Petrie''
::[[Douglas G. Petrie]]


Douglas G. Petrie
====Page 9====
<small>''View [[:File:Lifeline vol 11 p9.jpg|scan of this page]]''</small><!--


====Page 9====
CUMULATIVE CENSUS OF NATURALLY-OCCURING<-sic-> OBJECTS-->
<small>''View [[:File:Lifeline vol 11 p9.jpg|scan of this page]]''</small>


CUMULATIVE CENSUS OF NATURALLY-OCCURING<!--sic--> OBJECTS
              CUMULATIVE CENSUS OF NATURALLY-OCCURING OBJECTS
                                      |                            |
            single objects            |    common constellations    |
--------------------------------------+-----------------------------+
                                    o  |                    o        |
                                    c  |                    c        |
                                    c  |                    c        |
                                    u  |                    u  o    |
                                    r  |                    r  b  n |
                                    r  |                    r  j  o |
                                    e  |                    e  e  . |
                                    n  |                    n  c    | total
                                    c  |                    c  t  o | census
                                    e  |                    e  s  f | count
                |    |    |L.L. | s  |                  | s |      | for
        name    |size|class|ref. |    |        name      |  |      | object
----------------+----+-----+-----+----+------------------+---+------+---------
blinker          3  II          204 |{traffic lights    42  150}| 354
                                      |{interchange        0    0}|
block            4  I          361 |                            | 361
tub              4  I            10 |                            |  10
boat              5  I            66 |                            |  66
glider            5  III          87 |                            |  87
beehive          6  I          163 | honey farm        13    49| 212
ship              6  I            25 |                            |  25
barge            6  I            3 |                            |  3 +-----------
aircraft carrier  6  I    [[Lifeline Volume 2#Page 12|#2 p.12]]  0 |                            |  0 |  [[Paperclip|(14.488)]]
snake            6  I            0 |                            |  0 |    OO
toad              6  II            0 |                            |  5 |    O  O
clock            6  II            5 |                            |  0 |    OO O
loaf              7  I            0 |                            |  48 |    O OO
long boat        7  I            48 |                            |  2 |    O  O
eater            7  I            2 |                            |  0 |      OO
[[Long snake|(7.1)]]            7  I    [[Lifeline Volume 3#Page 2|#3 p.2]]  0 |                            |  0 |
beacon            7  II            1 |                            |  1 |
pond              8  I            9 |                            |  9 |    [[Dead spark coil|dead]]
long barge        8  I            1 |                            |  1 | [[Dead spark coil|spark coil]]
[[Mango|cigar  (8,3)]]      8  I    [[Lifeline Volume 3#Page 2|#3 p.2]]  1 |                            |  1 |  OO  OO
long ship        8  I            0 |                            |  0 |  O O O O
bipole            8  II  [[Lifeline Volume 3#Page 3|#3 p.3]]  0 |                            |  0 |    O O
[[Block on table|(10y)]]            10  I    [[Lifeline Volume 9#Page 3|#9 p.3]]  1 |                            |  1 |  O O O O
l. spaceship    10.5 III          0 |                            |  0 |  OO  OO
m. spaceship    11.5 III          0 |                            |  0 |
half-fleet      12  I    [[Lifeline Volume 7#Page 4|#7 p.4]]  0 | fleet              2      4|  4 |
bookends        14  I    [[Lifeline Volume 3#Page 7|#3 p.7]]  1 |                            |  1 | [[half-bakery]]
half-bakery      14  I      ->    0 | bakery              0      0|  0 |      OO
[[Big S|S-14]]            14  I    [[Lifeline Volume 4#Page 5|#4 p.5]]  0 |                            |  0 |      O  O
[[Paperclip|(14.488)]]        14  I      ->    0 |                            |  0 |      O O
[[dead spark coil]]  18  I      ->     0 |                            |  0 |    OO O
[[spark coil]]      19  II  [[Lifeline Volume 3#Page 3|#3 p.3]]  1 |                            |  1 |  O  O
pentadecathlon  20.9 II            1 |                            |  1 |  O O
pulsar          58.7 II            0 |                            |  0 |    O
--------------------------------------+-----------------------------+-----+-----------


[insert table here]


Notes and comment: --This table consists of the sum of the final censuses of all
Notes and comment: --This table consists of the sum of the final censuses of all
Class V patterns known to me whose age is at least 200 generations.
Class V patterns known to me whose age is at least 200 generations.<br />
 
--Objects with a census count of 0 are considered to be "natural" and included in
--Objects with a census count of 0 are considered to be "natural" and included in
the table if they have appeared temporarily in an intermediate stage of some more-
the table if they have appeared temporarily in an intermediate stage of some more-or-less
or-less random pattern, if they result from the interaction of two commonly-seen
random pattern, if they result from the interaction of two commonly-seen
objects (for instance, glider + preblock &Rightarrow; spaceship), or if they have an ancestor
objects (for instance, glider + preblock &Rightarrow; spaceship), or if they have an ancestor
of 7 bits or less.
of 7 bits or less.<br />
 
--For traffic lights and honey farm the number of objects is less than 4 times the
---For traffic lights and honey farm the number of objects is less than 4 times the
number of constellations because of the inclusion of several &half;TL, &frac34;TL, and &frac34;HF.<br />
number of constellations because of the inclusion of several &half;TL, &frac34;TL, and &frac34;HF.
 
--"Size" of Class II and III objects is defined as average population over all phases.
--"Size" of Class II and III objects is defined as average population over all phases.


Line 408: Line 514:
AN INTRODUCTION TO GLIDER LOGIC
AN INTRODUCTION TO GLIDER LOGIC


by V. Everett Boyer, San Diego
by [[Everett Boyer|V. Everett Boyer]], San Diego
with counsel from Doug Petrie and J. H. Conway
with counsel from Doug Petrie and J. H. Conway


Line 414: Line 520:
with gliders substituting for electric pulses.  Straight wires, basic
with gliders substituting for electric pulses.  Straight wires, basic
timing, and power are then provided by the ether and by glider guns.
timing, and power are then provided by the ether and by glider guns.
Most logic is accomplished by right-angle crossings of gilder streams.
Most logic is accomplished by right-angle crossings of glider streams.
The question of whether a glider has escaped a collision represents a
The question of whether a glider has escaped a collision represents a
bit of information.  Gliders and holes must then react appropriately.
bit of information.  Gliders and holes must then react appropriately.
Line 420: Line 526:
[insert image here]
[insert image here]


    To deal efficiently with the many different
<!--    -->To deal efficiently with the many different
arrangements of two glider streams, collisions
arrangements of two glider streams, collisions
are classified by delay and parity.  The parity
are classified by delay and parity.  The parity
Line 431: Line 537:
streams, delays above 11 are ambiguous and demand extra care.  Here is
streams, delays above 11 are ambiguous and demand extra care.  Here is
a partial list of basic glider collisions, coded by delay and parity:
a partial list of basic glider collisions, coded by delay and parity:
 
<!--space inserted to use links (which <pre> wouldn't allow)-->
[insert table here]
code  age  result    |code  age  result
  0-  4  twin blocks |  3+  7  pond
  1- 152  'B' [[Lifeline Volume 3#Page 12|LL#3p12]] |  4+  5  -
  2-  6  blinker    |  9+  14  eater
  3-  33  - (dies)  | 10+  5  block
  5-  7  -          | 11+  5  -
  6-  14  -          | 12+  6  beehive
  7-  11  -          | 17-  9  glider
  8-  9  -          | 15-  5  -
10-  26  blinker    | 14-  14  -
12-  5  block      | 13-  12  -


More than one third of
More than one third of
Line 449: Line 565:
is the minimum known P-60 gun.  Other useful reactions appear later.
is the minimum known P-60 gun.  Other useful reactions appear later.


[insert viewer here]
{{EmbedViewer
|rle          = x = 43, y = 27, rule = B3/S23
31b2o$29bo2bo$16bobo9bo$16bo3bo7bo$20bo7bo$16bo4bo7bo2bo6b2o$20bo10b2o6bobo$7b2o7bo3bo20bo$6bobo7bobo22b2o$6bo$5b2o23b2o$30b2o4$35bo$2o21bo12b2o$bo21b2o10b2o$bobo7bobo8bobo$2b2o7bo3bo$15bo10b2o$11bo4bo7bo2bo$15bo7bo11b2o$11bo3bo7bo11b2o$11bobo9bo$24bo2bo$26b2o!
|viewerconfig = #C [[ AUTOFIT OFF X 0.3125 Y 0.4375 WIDTH 1080 HEIGHT 696 ZOOM 24 ]]
|position    = center
|caption      = a '[[Period-60 glider gun|twogun]]' (period 60)<!--Note: Not quite the same as the twogun in the LifeWiki, the Gosper glider guns are in phase and the left q.b.s.'s are displaced from one another by 5 X 16 instead of of 3 X 14 (so the bounding box is 43 X 27 instead of 39 X 27), but the reaction is the same-->
}}


    The next five questions, completing the fundamentals of digital
<!--    -->The next five questions, completing the fundamentals of digital
electronics, involve bridging, bending, timing, gating, and branching.
electronics, involve bridging, bending, timing, gating, and branching.
P-30 streams cannot cross
P-30 streams cannot cross
Line 467: Line 589:
The best known solutions use a
The best known solutions use a
two-bit spark from a junkie or
two-bit spark from a junkie or
a twin bee (LL#3p14).  Special
a twin bee ([[Lifeline Volume 3#Page 14|LL#3p14]]).  Special
effort is also required to make streams arrive at just the right time.
effort is also required to make streams arrive at just the right time.
Inserting pairs of NOT gates preserves the information, and the number
Inserting pairs of NOT gates preserves the information, and the number
Line 475: Line 597:
<small>''View [[:File:Lifeline vol 11 p11.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p11.jpg|scan of this page]]''</small>


[insert viewer here]
{{EmbedViewer
|rle          = x = 45, y = 20, rule = DoubleB3S23
25.2C$23.C2.C$10.C.C9.C7.5C$10.C3.C7.C6.C5.C$2C12.C7.C7.2C3.C$2C8.C4.C7.C2.C7.C$14.C10.2C$10.C3.C16.2C$10.C.C8.C.C5.C3.C$22.2C4.C5.C$22.C4.2C.C3.C8.2C$28.C5.C8.2C$29.C3.C$19.B11.2C$19.2B$18.B.B2$26.A.A$27.2A$27.A!<!--much larger than the [[buckaroo]], which can be assumed not to have been found at this time-->
|viewerconfig = #C [[ AUTOFIT OFF X 0.5 Y 0 WIDTH 1080 HEIGHT 480 ZOOM 24 ]]
|position    = center
|caption      =
}}


the freedom to reposition and time information exactly.  Give all the
the freedom to reposition and time information exactly.  Give<!--perhaps sic, could be meaning 'Given'--> all the
foregoing, gating information becomes trivial.  All boolean functions
foregoing, gating information becomes trivial.  All boolean functions
are easily performed by vanish reactions.  Two guns can produce either
are easily performed by vanish reactions.  Two guns can produce either
AND or OR out outputs from three parallel inputs.  The final problem is of
AND or OR outputs from three parallel inputs.  The final problem is of
copying information,
copying information,
and Conway and M.I.T.
and Conway and M.I.T.
Line 497: Line 625:
[insert image here]
[insert image here]


    Since exactly plotting large numbers of glider guns detracts from
<!--    -->Since exactly plotting large numbers of glider guns detracts from
logical design, various simple symbols are used instead, and designers
logical design, various simple symbols are used instead, and designers
deal with generalizations; the exact positioning of each glider gun is
deal with generalizations; the exact
positioning of each glider gun is
put off.  Streams are shown by lines
put off.  Streams are shown by lines
and each component is symbolized, as
and each component is symbolized, as
Line 531: Line 660:
[insert image here]
[insert image here]


    Three other symbols used
<!--    -->Three other symbols used
show where streams have been
show where streams have been
(+) delayed or (o) advanced a
(+) delayed or (o) advanced a
30-generation cycle.
30-generation cycle.


    As an example for study, a P-30-stream branch is shown here, with
<!--    -->As an example for study, a P-30-stream branch is shown here, with
a P-60 analysis of all information flow.  Imagine a cell-by-cell plot.
a P-60 analysis of all information flow.  Imagine a cell-by-cell plot.
                                          EN: (!)
<!--                                          -->::EN: (!)


====Page 12====
====Page 12====
Line 547: Line 676:
Dear Bob,
Dear Bob,


      Our group has found an assortment of interesting
<!--      -->Our group has found an assortment of interesting
information in a wide variety of classes, most of which
information in a wide variety of classes, most of which
is contained herein.
is contained herein.


[insert viewer here]
{{EmbedViewer
|rle          = x = 10, y = 11, rule = B3/S23
3bo2bo$bobo2bobo$2b2o2b2o6$bobo2bobo$o2bo2bo2bo$bobo2bobo!
|viewerconfig = #C [[ AUTOFIT OFF X 0.5 Y 0 WIDTH 560 HEIGHT 560 ZOOM 24 ]]
|position    = center
|caption      =
}}


      The reaction to the right between two gliders
<!--      -->The reaction to the right between two gliders
and a pentadecathlon reflects the two gliders by
and a pentadecathlon reflects the two gliders by
90 degrees, and the gliders just barely escape the
90 degrees, and the gliders just barely escape the
pentadecathlon. (Dave Buckingham's idea)
pentadecathlon. (Dave Buckingham's idea)
Another interesting pentadecathlon-glider inter-
Another interesting pentadecathlon-glider interaction
action is shown to the right, where four gliders
is shown to the right, where four gliders
delay the pentadec. by 6 generations, thus making
delay the pentadec. by 6 generations, thus making
it period 21 for one cycle. Could this be used
it period 21 for one cycle. Could this be used
Line 564: Line 699:
puffer trains , breeders, guns etc. ?
puffer trains , breeders, guns etc. ?


[insert viewer here]
{{EmbedViewer
|rle          = x = 36, y = 7, rule = B3/S23
6bo26bo$4bobo26bobo$5b2o8bo4bo12b2o$13b2ob4ob2o$b2o12bo4bo8b2o$obo26bobo$2bo26bo!
|viewerconfig = #C [[ AUTOFIT OFF X -1 Y 1 WIDTH 1104 HEIGHT 432 ZOOM 24 ]]
|position    = center
|caption      =
}}


      I have also
<!--      -->I have also
followed the fates
followed the fates
of all the glider-
of all the glider-glider collisions,
glider collisions,
and some of the
and some of the
glider-object
glider-object
Line 580: Line 720:
to trace by hand, I will leave to those with access to
to trace by hand, I will leave to those with access to
large computing facilities.  Also Pete Raynham has supplied
large computing facilities.  Also Pete Raynham has supplied
a house-tub-tub interaction which releases two hybrid gliders.
a house-tub-tub interaction<!--Note the 't' here was forgone in the typewriting and added by hand--> which releases two hybrid gliders.


[insert viewers here]
{| class="wikitable"
|+
| rowspan="2" |{{EmbedViewer
|rle          = x = 18, y = 15, rule = Immigration
15.A2B$15.A$16.A3$2A$A.A2.B3.B$2.A.B.B.B.B$A.A2.B3.B$2A3$16.A$15.A$15.A2B!<!--pi makes gliders-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 560 ZOOM 24 ]]
|caption      =
}}
|{{EmbedViewer
|rle          = x = 19, y = 7, rule = Immigration
5.A4.3B$4.A$2B2.3A$B.B13.2A$B14.A2.A$15.A.A$16.A!<!--loaf-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|{{EmbedViewer
|rle          = x = 15, y = 4, rule = Immigration
.A10.AB$.2A8.A2.B$A.A8.A2.B$4.3B5.AB!<!--pond-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|-
|{{EmbedViewer
|rle          = x = 16, y = 7, rule = Immigration
5.A$4.A$4.3A6.2B$.2B10.B.A$2B13.A$2.B10.B.B$13.2B!<!--house (in fact actually monochromatic)-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|{{EmbedViewer
|rle          = x = 15, y = 3, rule = Immigration
3A.3B5.2A$2.A9.A.B$.A11.2B!<!--"ship" (loaf)-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|-
|{{EmbedViewer
|rle          = x = 15, y = 7, rule = Immigration
3.A$2.A$2.3A$13.2A$.B12.A$2B9.3B$B.B8.B!<!--eater-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|{{EmbedViewer
|rle          = x = 16, y = 6, rule = Immigration
4.A$3.A$3.3A8.2A$2B8.2B2.2A$B.B7.2B$B!<!--half-blockade-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|{{EmbedViewer
|rle          = x = 15, y = 4, rule = Immigration
3A10.B$2.A.3B5.A.B$.A9.A2.B$12.2A!<!--"loaf" (ship)-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|-
|{{EmbedViewer
|rle          = x = 24, y = 7, rule = Immigration
12.3B4.3A2$.2B2.2A3.B12.A$B.B2.A.A2.B12.A$2.B2.A4.B12.A2$12.3B4.3A!<!--interchange-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|{{EmbedViewer
|rle          = x = 15, y = 7, rule = Immigration
.B$B.B$.B10.2B$12.B.A$2.2A9.A$.A.A$3.A!<!--boat (actually monochromatic also)-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|{{EmbedViewer
|rle          = x = 15, y = 4, rule = Immigration
.A2.3B6.2B$.2A8.A2.B$A.A8.3A$11.A!<!--blonk-tie-->
|position    = center
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|caption      =
}}
|}<!--note that ship and loaf are wrong way around-->


====Page 13====
====Page 13====
Line 601: Line 823:
like the 'Twin Bees')
like the 'Twin Bees')


[insert viewers here]
{| class="wikitable"
|+
|{{EmbedViewer
|rle          = x = 29, y = 8, rule = Immigration
11.B$11.B.B$5.A5.2B$3.A.A2.2B15.2AB$4.2A2.B.B15.A2B$.2A5.B$A.A$2.A!<!--toad (requires left (green) half to be shifted downwards one cell)-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 720 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}<br />{{EmbedViewer
|rle          = x = 37, y = 9, rule = Immigration
.A$2.A$3A16.B10.2A$4.3A11.B11.A.A$6.A11.3B11.A2.2B$5.A8.3B13.A.A.B.B$14.B15.2A2.B$15.B18.B.B$35.2B!<!--rotated house-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 912 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}<br />{{EmbedViewer
|rle          = x = 37, y = 6, rule = Immigration
.A17.B$2.A15.B11.2A3.2B$3A15.3B9.A.A.B.B$4.3A7.3B15.A.B$6.A7.B15.A.A.B.B$5.A9.B14.2A3.2B!<!--dead spark coil (halves)-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 912 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}<br />{{EmbedViewer
|rle          = x = 34, y = 7, rule = Immigration
A.A8.B.B$.2A8.2B$.A10.B11.3A4.3B$24.A2.A2.B2.B$2.3A4.3B12.A.2A2.2B.B$4.A4.B$3.A6.B!<!--B-heptominoes-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 816 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}<br />{{EmbedViewer
|rle          = x = 27, y = 7, rule = Immigration
2.A$A.A13.B$.2A13.B.B$4.2A10.2B7.A$5.2A6.2B10.AB$4.A7.2B11.AB$14.B11.B!<!--other toad (does not work, moving the left or right half a cell closer will produce the other toad)-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 672 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}<br />{{EmbedViewer
|rle          = x = 29, y = 7, rule = Immigration
A.A12.B$.2A12.B.B$.A13.2B8.A$25.2AB$4.2A6.2B14.B$3.A.A5.2B12.2AB$5.A7.B11.A!<!--hat (does not at all work)-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 720 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}
|{{EmbedViewer
|rle          = x = 24, y = 58, rule = Immigration
5.A4.3B$2B2.A$B.B.3A9.2A$B14.A2.A$15.A.A$16.A4$<!--blinker and loaf (example in wrong orientation)-->
3.A$3.A.A$3.2A$12.2A$.2B8.B.A$2B9.B.B$2.B8.2B10$<!--lumps of muck-->
.2B.2A5.2B.2A$B.B.A.A4.2B.2A$2.B.A3$<!--bi-block-->
16.2B$16.2B$2.B.B$3.2B17.2B$3.B18.2B$.A9.2A$2A9.2A$A.A$17.2A$17.2A3$<!--four skewed blocks-->
B.B$.2B$.B13.2B$4.A10.2A$3.2A$3.A.A4$<!--block-->
.B$2.B$3B10.2B$12.2B$3.2A8.2BA$3.A.A9.A$3.A!<!--two-glider octomino-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 576 HEIGHT 1392 ZOOM 24 ]]
|position    = center
|caption      =
}}<br />{{EmbedViewer
|rle          = x = 27, y = 8, rule = Immigration
.A3.B14.2A3.2B$2.A.B15.A.A.B.B$3A.3B15.A.B$22.B.A$20.B.B.A.A$3B.3A13.2B3.2A$2.B.A$.B3.A!<!--dead spark coil (chequerboard)-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 840 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}<br />{{EmbedViewer
|rle          = x = 35, y = 8, rule = Immigration
.A$2.A14.B$3A13.B13.A$4.3A9.3B11.3A.B$6.A5.3B18.2B$5.A6.B17.2A$13.B16.A.3B$34.B!<!--sidewalk-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 864 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}<br />{{EmbedViewer
|rle          = x = 38, y = 7, rule = Immigration
.A18.B$2.A16.B$3A16.3B8.2A4.2B$4.3A8.3B12.A.A2.B.B$6.A8.B16.2A2B$5.A10.B13.A.A2.B.B$30.2A4.2B!<!--spark coil-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 912 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}
|}<!--perhaps add arrows if LifeViewer adds support for them-->
 


====Page 14====
====Page 14====
<small>''View [[:File:Lifeline vol 11 p14.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p14.jpg|scan of this page]]''</small>
[insert viewers throughout]


Dave has found several interesting
Dave has found several interesting
Line 618: Line 908:
honeyfarm predecessors inducting one
honeyfarm predecessors inducting one
another.  Pete also discovered a way
another.  Pete also discovered a way
of making the fourteen bit 'paper-
of making the fourteen bit 'paperclip'
clip' (everybody's term) from two
(everybody's term) from two
gliders and a middle-wt. a.ship.
gliders and a middle-wt. s.ship.


      I have found yet another
<!--      -->I have found yet [[Circle of fire|another
'Cha-cha' oscillator, comprising
'Cha-cha' oscillator]], comprising
32 bits. (see below)
<!-- -->32 bits.<!--Perhaps sic, it seems to be referring to circle of fire, which is 42--> (see below)
   
   
As for still lifes, Dave has
As for still lifes, Dave has
pointed out that there are four,
pointed out that there are four,
and not two, twenty-bit still lifes
and not two,twenty-bit still lifes
in which all bits have two neighbours.
in which all bits have two neighbours.
The complete list up to twenty bits
The complete list up to twenty bits
with 2 or 3 neighbours is shown below.
with 2 or 3 neighbours is shown below.
{{EmbedViewer
|rle          = x = 24, y = 12, rule = B3/S23
4bo$4bobo11b2o$4b2o11bobo$2bo14b2o$obo12b2o$b2o11bobo5b2o$5b2o7b2o5bobo$5bobo13b2o$5bo13b2o$2b2o14bobo$bobo14b2o$3bo!<!--fleet-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 672 HEIGHT 432 ZOOM 24 ]]
|position    = center
|caption      =
}}
{{EmbedViewer
|rle          = x = 23, y = 11, rule = B3/S23
12bo$12bobo$12b2o6b2o$2bo16bo2bo$obo16b3o$b2o$4b2o13b3o$5b2o12bo2bo$4bo7b2o6b2o$12bobo$12bo!<!--cis-mirrored bun-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 648 HEIGHT 312 ZOOM 24 ]]
|position    = center
|caption      =
}}
{{EmbedViewer
|rle          = x = 15, y = 45, rule = B3/S23
b2o7bo$b2o6bobo$9bobo$7b2o3b2o$2bo3bo7bo$bobo3b2o3b2o$2bo6bobo$9bobo$10bo$b2o$o2bo$b2o7bo$9bobo$10bo$2o$o2bo4b5o$2b2o3bo5bo$8b5o2$bo8bo$obo6bobo$o2bo6bo$b2o2$10bo$b2o6bobo$o2bo6bo$o2bo$b2o5b5o$7bo5bo$8b4obo$b2o9bo$o2bo6bo$bo2bo5b2o$2b2o2$9b2o$10bo$8bo$7bob4o$7bo5bo$8b4obo$12bo$10bo$10b2o!<!--still lifes-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 1128 ZOOM 24 ]]
|position    = center
|caption      =
}}
{{EmbedViewer
|rle          = x = 11, y = 11, rule = B3/S23
5bo$3bobobo$bobobobobo$2b2obob2o$o4bo4bo$b4ob4o$o4bo4bo$2b2obob2o$bobobobobo$3bobobo$5bo!<!--circle of fire-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 264 ZOOM 24 ]]
|position    = center
|caption      =
}}
{{EmbedViewer
|rle          = x = 25, y = 11, rule = B3/S23
7b5o$7bo4bo$7bo$2b2o4bo3bo9b2o$b2o7bo10bo2bo$3bo17bob2o$20b2obo$20bo2bo$bo19b2o$b2o$obo!<!--paperclip-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 648 HEIGHT 312 ZOOM 24 ]]
|position    = center
|caption      =
}}
{{EmbedViewer
|rle          = x = 16, y = 14, rule = B3/S23
bo$2bo$3o$4bo$3bo$3b3o8bo$14b2o$14b2o$2b3o10bo$4bo$3bo$5b3o$5bo$6bo!<!--toad-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 540 HEIGHT 384 ZOOM 24 ]]
|position    = center
|caption      =
}}


EN:
EN:
Line 643: Line 976:
(!)
(!)
see
see
No.10,
[[Lifeline Volume 10#Page 2|No.10,
p.2.
p.2]].




Line 654: Line 987:
still lifes, etc.  Some
still lifes, etc.  Some
still lifes, however,
still lifes, however,
which might be potent-
which might be potentially
ially very useful are
very useful are
virtually impossible to
virtually impossible to
form by ordinary means.
form by ordinary means.
We have devised a method of adding bits
We have devised a method of adding bits
and pieces to some of the less exotic still
and pieces to some of the less exotic still
lifes.  For example, the eater can be trans-
lifes.  For example, the eater can be transformed
formed into the tub with tail, etc. with the
into the tub with tail, etc. with the
use of several gliders.  Some of these require
use of several gliders.  Some of these require
the use of many gliders, but in time this
the use of many gliders, but in time this
Line 669: Line 1,002:


EN: really
EN: really
  amazing!
<!--  -->amazing!


====Page 15====
====Page 15====
<small>''View [[:File:Lifeline vol 11 p15.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p15.jpg|scan of this page]]''</small>
 
{| class="wikitable"
[insert viewers here]
|+
| rowspan="3" |{{EmbedViewer
|rle          = x = 21, y = 21, rule = B3/S23
2o6bo6bo$bo6b3o4b3o$bobo7bo6bo$2bobo5bo6bo$3bo6bobo4bobo$11b2o5bobo$19bo3$2o6b2o5bo$bo7bo5b3o$bobo5bob2o5bo$2bobo5bobo4bo$3b2o6bo5bobo$18bobo$19b2o$2o$bo$bob2o$2bo2bo$3b2o!<!--still lifes-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 504 ZOOM 24 ]]
|position    = center
|caption      =
}}
|{{EmbedViewer
|rle          = x = 45, y = 11, rule = B34/S34
39bobo$37bobobo$3bo10bobobo2bobo8bobobo6bo$3bobo8bobob2obobo8bobobo$bo10bo12bo4bo12b2o$6b2o$2o9b2o12b2o2b2o12bo$6bo30bobobo$2bobo7bo12bo4bo6bobobo$4bo9bobob2obobo8bobobo$14bobo2bobobo8bobo!<!--b34s34 phoenices-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 1080 HEIGHT 264 ZOOM 24 ]]
|position    = center
|caption      =
}}
|-
|{{EmbedViewer
|rle          = x = 43, y = 13, rule = B34/S34
11bobobo19bobobo$9bobobobo17bobobobo$11bo5bo13bo3bo5bo$7bo19bobobobo$3bobobobo7b2o8bobobo9b2o$3bobobo17bo$bo15bo23bo$11bobobo8b2o9bobobo$2o7bobobobo17bobobobo$11bo13bo5bo3bo$bo5bo19bobobobo$3bobobobo17bobobo$3bobobo!<!--p4 ones-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 1032 HEIGHT 312 ZOOM 24 ]]
|position    = center
|caption      =
}}
|-
|{{EmbedViewer
|rle          = x = 15, y = 10, rule = B34/S34
9bobo$3bobobobobo$3bobo7bo$bo$13b2o$2o$13bo$bo7bobo$3bobobobobo$3bobo!<!--other p4 phoenix-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 540 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      =
}}
|}


As in LIFE, there are
As in LIFE, there are
Line 689: Line 1,053:
be used in 3-4 LIFE with much the same effects.It<!--sic-->
be used in 3-4 LIFE with much the same effects.It<!--sic-->
may be possible to insert other oscillating
may be possible to insert other oscillating
machinery into these to change the period to some-
machinery into these to change the period to something
thing like 8, but Dave believes this to be unlikely,
like 8, but Dave believes this to be unlikely,
as he did not come accross<!--sic--> anything promising while
as he did not come accross<!--sic--> anything promising while
designing the above examples.  As for pragmatic applications,
designing the above examples.  As for pragmatic applications,
flip-flops might be used to stabilize transfinite oscillators. (see
flip-flops might be used to stabilize transfinite oscillators. (see
LIFELINE #9)
[[Lifeline Volume 9|LIFELINE #9]])


Below is yet another one of Dave's "Sombrero" constructions.  Essentially
Below is yet another one of Dave's "Sombrero" constructions.  Essentially
period six, the sombrero supplies a bit every six generations to the
period six, the sombrero supplies a bit every six generations to the
object beneath it.  In this case, the object is the period four const-
object beneath it.  In this case, the object is the period four construction
ruction shown as a wick in LIFELINE #3.  The added bit extends the
shown as a wick in [[Lifeline Volume 3|LIFELINE #3]].  The added bit extends the
period to six, thus making the entire thing oscillate.  Unfortunately,
period to six, thus making the entire thing oscillate.  Unfortunately,
it is as yet impossible
it is as yet impossible
Line 721: Line 1,085:
confused eater is used to
confused eater is used to
stabilize a h.farm w/tail
stabilize a h.farm w/tail
{{EmbedViewer
|rle          = x = 38, y = 25, rule = B3/S23
18b2o10b2o$18bo2bo8bo2bo$5bo13b3o4bo4b3o$4bobo18bobo$4bobo12b3o3bobo3b3o$2ob2ob2ob2o7bo3bob2ob2obo3bo$o4bo4bo8bobo4bo4bobo$b3o3b3o8b2ob4o3b4ob4o$3bobobo16bobobo7bo$19b3o9b3o$18bo3bo7bo3bo$18bo3bo7bo3bo$4bobo12bobo3bobo3bobo3bo$3bo3bo16bo3bo7bo$3bo3bo16bo3bo7bo$4b3o18b3o9bo$18bobobo7bobobo$4b3o10b2o3b4ob4o3b4o$3bo2bo13bo4bobo4bo4bo$3b2o13b2ob2obo3bob2ob2obo$19bobo3b3o3bobo3bo$19bobo9bobo$20bo4b3o4bo4bo$25bo2bo8bo$27b2o!<!--note it is broken, see [[Scrubber#Scrubber_half_stabilisations]]-->
|viewerconfig = #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 1080 HEIGHT 600 ZOOM 24 ]]
|position    = center
|caption      =
}}


====Page 16====
====Page 16====
<small>''View [[:File:Lifeline vol 11 p16.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p16.jpg|scan of this page]]''</small>


[insert viewer here]
{{EmbedViewer
|rle          = x = 17, y = 33, rule = B3/S23
2bo$2b3o$5bo$4b2o$5b3o7b2o$6b2o7bo$5bo6b2obo$5b2o2b2o3bo$9bo$10b3o2$8b2o$9bo$6b3o$6bo3$8b2o$8bo$10bo$6b5o$6bo$2o7b2o$bo7bobo$bob2o5b2o$2bo3b2o2bo$7bo3b3o$4b3o6bo2$7b2o$7bo$8b3o$10bo!
|viewerconfig = #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 540 HEIGHT 792 ZOOM 24 ]]
|position    = center
|caption      =
}}


The idea of using a confused eater toeat<!--sic-->
The idea of using a confused eater toeat<!--sic-->
Line 740: Line 1,118:
tends to expand out the sides.  As in the
tends to expand out the sides.  As in the
development of the pulsar,  each traffic-
development of the pulsar,  each traffic-
light pred. doubles itself, and three of
light pred. doubles itself, and three of
the shuttles produce beehives to kill the
the shuttles produce beehives to kill the
preds. on one side.  Then the process
preds. on one side.  Then the process
Line 749: Line 1,127:
strategically enough to eliminate the preds. fast enough.
strategically enough to eliminate the preds. fast enough.


[insert viewer here]
{{EmbedViewer
|rle          = x = 51, y = 50, rule = B3/S23
26b2o$26b2o11$24b2o3b2o$26b3o$25bo3bo$10bobo13bobo9bobo$10bo3bo12bo8bo
3bo$14bo21bo$2o8bo4bo19bo4bo8b2o$2o12bo21bo12b2o$10bo3bo3b3o3b3o3b3o3b
o3bo$10bobo25bobo$16bo4bobo3bobo4bo$16bo4bobo3bobo4bo$16bo4bobo3bobo4b
o2$18b3o3b3o3b3o2$9bobo27bobo$7bo3bo27bo3bo$2o5bo35bo5b2o$2o4bo4bo27bo
4bo4b2o$7bo35bo$7bo3bo27bo3bo$9bobo27bobo6$24b2o3b2o$26b3o$25bo3bo$26b
obo$27bo4$26b2o$26b2o!
<!--note: the pattern in Lifeline (reproduced here) doesn't work as stated. The top and bottom Queen bees and blocks should be moved one cell down and up respectively-->
|viewerconfig = #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 1224 HEIGHT 1152 ZOOM 24 ]]
|position    = center
|caption      = Dave Buckingham's<br />Period 30 Pseudo-<br />Shuttle
}}


====Page 17====
====Page 17====
<small>''View [[:File:Lifeline vol 11 p17.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p17.jpg|scan of this page]]''</small>


[insert viewer here]
{{EmbedViewer
|rle          = x = 19, y = 19, rule = B3/S23:T29,29
5b3o3b3o$4bo3bobo3bo$4bo3bobo3bo$4bo3bobo3bo$b3ob3o3b3ob3o$o3bo9bo3bo$o3bo9bo3bo$o3bo9bo3bo$b3o11b3o2$b3o11b3o$o3bo9bo3bo$o3bo9bo3bo$o3bo9bo3bo$b3ob3o3b3ob3o$4bo3bobo3bo$4bo3bobo3bo$4bo3bobo3bo$5b3o3b3o!
|viewerconfig = #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 696 HEIGHT 696 ZOOM 24 ]]
|position    = center
|caption      =
}}


At present, there are two basic shuttles:
At present, there are two basic shuttles:
Line 761: Line 1,157:
Now, for a new addition to this class, Dave
Now, for a new addition to this class, Dave
Buckingham reports the period 28 (!)
Buckingham reports the period 28 (!)
"Newshuttle". (Shown below) This is similar
"[[Newshuttle]]". (Shown below) This is similar
in principle to the pseudo-shuttle shown on
in principle to the pseudo-shuttle shown on
the previous page, in that it follows the
the previous page, in that it follows the
evolution of the pulsar.  Normally, however,
evolution of the pulsar.  Normally, however,
when two t-tetrominoes are placed 3 spaces
when two [[T-tetromino|t-tetrominoes]] are placed 3 spaces
apart, they replicate fifteen generations
apart, they replicate fifteen generations
later, allowing for a period 30 shuttle.
later, allowing for a period 30 shuttle.
Line 772: Line 1,168:
only fourteen generations.  This reduces the
only fourteen generations.  This reduces the
period to 28.  Because of the extra machinery needed to eat the extra
period to 28.  Because of the extra machinery needed to eat the extra
blinkers off the sides of the forming pulsars, it has been necessary
<!-- -->blinkers off the sides of the forming pulsars, it has been necessary
to induct eight pairs of t-tetrominoes, forming the grotesquely huge
to induct eight pairs of t-tetrominoes, forming the grotesquely huge
object shown below.  As of yet, nobody has been able to cut down the
object shown below.  As of yet, nobody has been able to cut down the
Line 781: Line 1,177:
oscillators can also be made into agars in the same way.
oscillators can also be made into agars in the same way.


[insert viewer here]
{{EmbedViewer
|rle          = x = 51, y = 51, rule = B3/S23
26b2o$20bo3bo2bo2bo$18b3o3b3o3b3o$8b2o7bo15bo7b2o$9bo7b2o5b3o5b2o7bo$9bobo11bo3bo11bobo$10b2o2b3o6b2ob2o6b3o2b2o$13bo3bo15bo3bo$3bo9bo3bo2b3o5b3o2bo3bo9bo$3b3o7bo3bobo3bo3bo3bobo3bo7b3o$6bo7b3o2bo3bo3bo3bo2b3o7bo$5b2o12bo3bo3bo3bo12b2o$20b3o5b3o$7b3o31b3o$6bo3bo29bo3bo$6bo3bo29bo3bo$6bo3bo29bo3bo$3b2o2b3o13b2ob2o13b3o2b2o$2bobo18bo3bo18bobo$2bo6b3o12b3o12b3o6bo$b2o5bo3bo13bobo9bo3bo5b2o$8bo3bo14b2o9bo3bo$8bo3bo7b2o16bo3bo$2o3b2o2b3o5b2o2bo10b2o5b3o2b2o$obobobo10bob2o10bobo10bobob2o$2bobo14bo11bo14bobo$b2obobo10bobo10b2obo10bobobobo$5b2o2b3o5b2o10bo2b2o5b3o2b2o3b2o$8bo3bo16b2o7bo3bo$8bo3bo9b2o14bo3bo$b2o5bo3bo9bobo13bo3bo5b2o$2bo6b3o12b3o12b3o6bo$2bobo18bo3bo18bobo$3b2o2b3o13b2ob2o13b3o2b2o$6bo3bo29bo3bo$6bo3bo29bo3bo$6bo3bo29bo3bo$7b3o31b3o$20b3o5b3o$5b2o12bo3bo3bo3bo12b2o$6bo7b3o2bo3bo3bo3bo2b3o7bo$3b3o7bo3bobo3bo3bo3bobo3bo7b3o$3bo9bo3bo2b3o5b3o2bo3bo9bo$13bo3bo15bo3bo$10b2o2b3o6b2ob2o6b3o2b2o$9bobo11bo3bo11bobo$9bo7b2o5b3o5b2o7bo$8b2o7bo15bo7b2o$18b3o3b3o3b3o$20bo2bo2bo3bo$23b2o!
|viewerconfig = #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 1224 HEIGHT 1224 ZOOM 24 ]]
|position    = center
|caption      =
}}


We would appreciate it if anyone finding any uses of the above, or ways
We would appreciate it if anyone finding any uses of the above, or ways
Line 808: Line 1,210:
But according to your definition, this is not an object
But according to your definition, this is not an object
because no births are caused on the blocks.
because no births are caused on the blocks.
  IS THIS CONFIGURATION AN OBJECT OR NOT ??????????
<!--  -->IS THIS CONFIGURATION AN OBJECT OR NOT ??????????
EN: see No.1,p12.
{{EmbedViewer
|rle          = x = 5, y = 5, rule = Immigration
2A.2A$2A.2A2$2B.2A$2B.2A!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 540 ZOOM 48 ]]
|position    = center
|caption      =
}}
<!-- -->::EN: see [[Lifeline Volume 1#Page 12|No.1,p12]].


Due to lack of space, i<!--sic--> have been forced to withhold some of our
Due to lack of space, i<!--sic--> have been forced to withhold some of our
Line 819: Line 1,228:


By the way, what ever happened to most of the COMING EVENTS?
By the way, what ever happened to most of the COMING EVENTS?
EN: pre-empted by new stuff!
<!-- -->::EN: pre-empted by new stuff!<br>
 
                              o o      ooo
[insert image here]ours [insert image here]ruly
                                o        o
 
                                o ours   o ruly,
Mark Niemiec *
::''Mark Niemiec'' *


P.S. Below is a collision which forms a tub in six gens.
P.S. Below is a collision which forms a tub in six gens.
    The glider on the extreme left becomes the tub.
<!--    -->The glider on the extreme left becomes the tub.


[insert viewer here]
{{EmbedViewer
|rle          = x = 11, y = 7, rule = Immigration
9.A$8.A$8.3A2$3B2.3A$2.B2.A$.B4.A!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 720 HEIGHT 528 ZOOM 48 ]]
|position    = center
|caption      =
}}


* EN: representing Bucklngham's
* EN: representing Buckingham's<br /><!--      -->Combine (Dave Buckingham,<br /><!--      -->Mark Niemiec, and Peter<br /><!--      -->Raynham) of Sarnia Ontario,<br /><!--      -->Canada.
      Combine (Dave Buckingham,
      Mark Niemiec, and Peter
      Raynham) of Sarnia Ontario,
      Canada.


EN: in addition to Niemiec's tub forming collision, Raynham reports
EN: in addition to Niemiec's tub forming collision, Raynham reports
    a <u>four</u> glider collision which forms a pentadecthlon<!--sic--> in twelve
<!--    -->a <u>four</u> glider collision which forms a pentadecthlon<!--sic--> in twelve
    generations and Buckingham reports a <u>three</u> glider collision
<!--    -->generations and Buckingham reports a <u>three</u> glider collision
    which forms a heavyweight spaceship in seven generations(!).
<!--    -->which forms a heavyweight spaceship in seven generations(!).
    These initial arrangements are shown on the top of page 19.
<!--    -->These initial arrangements are shown on the top of page 19.
    Also see the cover page of No. 10.
<!--    -->Also see the cover page of [[Lifeline Volume 10|No. 10]].


====Page 19====
====Page 19====
<small>''View [[:File:Lifeline vol 11 p19.jpg|scan of this page]]''</small>
<small>''View [[:File:Lifeline vol 11 p19.jpg|scan of this page]]''</small>


...To be continued...
{| class="wikitable"
|+
|{{EmbedViewer
|rle          = x = 12, y = 7, rule = B3/S23
obo6bobo$b2o6b2o$bo8bo2$2b2o4b2o$3b2o2b2o$2bo6bo!<!--pentadecathlon-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 720 HEIGHT 528 ZOOM 48 ]]
|position    = center
|caption      =
}}
|{{EmbedViewer
|rle          = x = 7, y = 9, rule = B3/S23
6bo$b2ob2o$obo2b2o$2bo3$3b2o$2bobo$4bo!<!--HWSS-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 720 HEIGHT 528 ZOOM 48 ]]
|position    = center
|caption      =
}}
|}
 
<!-- -->::Petrie replys:<!--sic-->
 
<!--          -->The new collision results are quite impressive. . . . Regarding 4 blinkers
+ tub &Rightarrow; (20-bit object), there ought to be a way to make that with gliders, since
the blinker-forming collisions need not interfere with the central tub. . . . Cross-fertilization
lives!  Combining Raynham's new l.w.S.S. generator with my own collision
discoveries, <u>I have been able to synthesize [[Schick engine|Schick's Flying Machine]] from 11
gliders.</u>  See enclosed graph. . . . If someone can find a way to produce the clock
as well as ([insert image here]), that would mean that <u>all</u> terminal forms smaller than size 8
can be constructed with gliders.  (By "terminal" I mean any pattern of class I, II,
III, or IV.)
 
"flying machine" synthesis
{| class="wikitable"
|+
|{{EmbedViewer
|rle          = x = 24, y = 25, rule = B3/S23
5bo$3bobo$4b2o4$15bo$bo11b2o$2bo11b2o6bo$3o2b2o14bo$6b2o13b3o$5bo3$6b2o7bo$7b2o6bobo$6bo4bo3b2o$10b2o$10bobo4b3o$4bo12bo$4b2o12bo$3bobo$19bo$18b2o$18bobo!<!--note that the (13,6) glider should be one cell further rightwards-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 720 HEIGHT 720 ZOOM 24 ]]
|position    = center
|caption      = gen. 0
}}
|{{EmbedViewer
|rle          = x = 13, y = 11, rule = B3/S23
3b3o$3b2o$4b2o5bo$10bo$bobo6b3o$o6b2o$o6b2o$o2bo$3o5bo$7b2o$7bobo!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 720 HEIGHT 720 ZOOM 24 ]]
|position    = center
|caption      = gen. 16
}}
|-
|{{EmbedViewer
|rle          = x = 20, y = 21, rule = B3/S23
5bo$6bo$4b3o2$6bo$6b2o$5bobo$10bobo$2bo7b2o$obo8bo5bo$b2o14bobo$5b2o10b2o$5b2o$12b2o$12b2o$4b2o$5b2o$4bo$14b2o$13b2o$15bo!<!--corrected hereafter-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 720 HEIGHT 720 ZOOM 24 ]]
|position    = center
|caption      = gen. 10
}}
|{{EmbedViewer
|rle          = x = 9, y = 12, rule = B3/S23
4bo$3bobo$2b2ob2o$2b2ob2o$3b3o$4bo2$bobobobo$o7bo$o7bo$o2bobo2bo$3o3b3o!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 720 HEIGHT 720 ZOOM 24 ]]
|position    = center
|caption      = gen. 20
}}
|}
 
====Page 20====
<small>''View [[:File:Lifeline vol 11 p20.jpg|scan of this page]]''</small>
 
Dear Sir:
 
<!--    -->Figure 1 shows an infinitely extensible period 2 billiard table configuration
which I have discovered.
 
<!--    -->The object shown in Figure 2a becomes that of Figure 2b in 8 generations.  Note
that the configuration in 2b contains that of 2a shifted 2 units south-east.
Unfortunately, the extra 4 bits prevent the object from appearing again, and it becomes
4 blocks in generation 18.  Perhaps someone could make a glider or puffer-train out of
this. EN: speed = C/4!
 
<!--    -->I have experimented with 3 state life and have found that there are exactly 2
alliances for the clock and 3 for the toad.  These are shown in Figures 3 and 4
respectively.  I have tried to increase the number of states in the 3-4 version of
life, but have been unable to invent any natural rules for it.  In ordinary life,
however, I have managed to invent some simple rules for a 5 state version, which I
will now describe.
 
<!--    -->The states are the "off" state, denoted by a blank, and 4 "on" states denoted
"1", "2", "3", and "4".  As in the 3 state version, ordinary life rules are used to
take care of deaths and survivals, and new rules are needed only for birth cells.  If
at least 2 of the 3 neighbors of a birth cell have the same state, the cell will have
that state in the next generation.  If the 3 states are all different, the cell will
have the 4th "on" state.  For example, if the neighbors of a birth cell have states
1, 3, and 4, then the cell will have state 2 in the next generation.
 
<!--    -->Note that if each "on" cell in one generation has state 1 or 2, then this will be
true of all succeeding generations, and the rules become simply the 3 state ones.  (Of
course,there<!--sic--> is nothing special about states 1 and 2; any pair of "on" states would
work as well.)
 
<!--    -->I have examined all possible gliders in 5 state life and have found that there is
exactly 1 alliance which is not actually a 3 state one.  (By "exactly one", I mean
except for permutations of the states.)  As shown in Figure 5, this alliance has period
12 rather than 4.
 
<!--    -->There are at least 6 (there might be more, but I doubt it) 5 state alliances for
the toad.  These are shown in Figure 6.  (To save space, I have shown only 1 phase of
each.)  Surprisingly, each of these alliances has period 4 rather than 2.
 
<!--    -->In [[Lifeline Volume 5|Lifeline Number 5]], you presented some oscillators discovered by "Buckinghams<!--sic-->
Combine".  In [[Lifeline Volume 6#Page 3|Lifeline Number 6, page 3]], you stated that object (e) has period 6 and
object (g) has period 7.  Actually, (e) has period 7 and (g) has period 6.
 
<!-- -->::EN: thanks, its<!--sic--> strange that no one else mentioned this.
 
====Page 21====
<small>''View [[:File:Lifeline vol 11 p21.jpg|scan of this page]]''</small>
{| class="wikitable"
|+
| colspan="3" |{{EmbedViewer
|rle          = x = 29, y = 12, rule = LifeHistory
2A$A2.A2.2A2.2A4.13D$.3A2.2A2.2A4.D.D3.D3.D.D$16.D.D3.D3.D.D$.11A4.13D$A3.A3.A3.A$A3.A3.A3.A$.11A4.13D$16.D3.D3.D3.D$.3A2.2A2.2A4.D3.D3.D3.D$A2.A2.2A2.2A4.13D$2A!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 744 HEIGHT 336 ZOOM 24 ]]
|position    = center
|caption      = Figure 1<br />Infinitely extensible<br />billiard table configuration
}}
|{{EmbedViewer
|rle          = x = 11, y = 10, rule = Immigration
2.B5.B$B.A6.AB$.A.B3.BA$.B7.B3$2.A5.A$B.A6.2A$.B.A3.2B$.B7.B!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 540 HEIGHT 288 ZOOM 24 ]]
|position    = center
|caption      = Figure 3<br />Clock alliances
}}
|-
| colspan="2" |{{EmbedViewer
|rle          = x = 20, y = 9, rule = B3/S23
5b2o$6bo$3b3o11b3o$2bo13bo2bo$2bo13b3o$obo11b2o$2o11bobo$13bobo$13b2o!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 540 HEIGHT 264 ZOOM 24 ]]
|position    = center
|caption      = Figure 2<br />Possible glider
}}
| colspan="2" |{{EmbedViewer
|rle          = x = 22, y = 10, rule = Immigration
10.A$.B2A4.B2.A7.3B$2BA5.B2.A6.A2B$9.B3$10.B9.B$.2BA4.B2.A6.B2.B$A2B5.A2.B6.A2.B$9.B9.B!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 576 HEIGHT 288 ZOOM 24 ]]
|position    = center
|caption      = Figure 4<br />Toad alliances
}}
|-
| colspan="4" |[There is not yet a rule in the LifeWiki emulating the 5-state one used in figures 5 and 6]
|-
| rowspan="2" |{{EmbedViewer
|rle          = x = 16, y = 12, rule = DoubleB3S23
6.2A$4.6A.A$6.5A$7.B.A$8.BC$6.BC2.2A$A.2A2.2AC.4A$.6A3.6A$2.4A4.4A$.A.3A5.A$4.A6.A$4.A!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 540 HEIGHT 288 ZOOM 24 ]]
|position    = center
|caption      = Figure 7<br />"tock" predecessor
}}
|{{EmbedViewer
|rle          = x = 3, y = 3, rule = B34/S34
2bo$b2o$3o!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 540 ZOOM 24 ]]
|position    = center
|caption      = Figure 8<br />3-4 oscillator
}}
|{{EmbedViewer
|rle          = x = 4, y = 3, rule = B34/S34
2bo$4o$bo!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 540 HEIGHT 540 ZOOM 24 ]]
|position    = center
|caption      = Figure 9<br />3-4 oscillator
}}
|{{EmbedViewer
|rle          = x = 5, y = 4, rule = B3/S23
b2o$o2bo$bo2bo$2b2o!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 540 HEIGHT 540 ZOOM 24 ]]
|position    = center
|caption      = Figure 10<br />Still life
}}
|-
| colspan="3" |{{EmbedViewer
|rle          = x = 23, y = 9, rule = B3/S23
4bo$3bobo11bo$3bobo10bobo$b2o3b2o5bo2bobo2bo$o7bo3bobobobobobo$b2o3b2o5bo2bobo2bo$3bobo10bobo$3bobo11bo$4bo!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 600 HEIGHT 264 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
|}
 
====Page 22====
<small>''View [[:File:Lifeline vol 11 p22.jpg|scan of this page]]''</small>
 
<!--    -->On [[Lifeline Volume 6#Page 1|page 1 of Lifeline Number 6]], you mentioned Conway's "[[Unique Father Problem]]".
You illustrated this by asking if the "tick" was the only predecessor of the "tock".
This example is somewhat inappropriate, since the clock is not stable, as required in
the problem.  However,to<!--sic--> answer the clock problem, Figure 7 shows another predecessor
to the "tock".  (There must be something simpler than this.) EN: see [[#Page 24|page 24]].
 
<!--    -->In [[Lifeline Volume 9#Page 4|Lifeline Number 9, page 4]], you asked for the final censuses of all objects
which are contained in a 3 by 3 square.  These are given below.  As noted in [[Lifeline Volume 10#Page 5|Lifeline
Number 10, page 5]], A10=D11 and E11=H10.  In addition, we have the following equalities
(,<!--sic-->though the relevant objects are not in the same positions in the square).
 
A2=D2    A3=B3    A4=D4    A5=D5    B1=C1=D1  B4=B5=C4  B6=B7    C2=C3    C6=D6
C8=C9    C10=D10  D8=D9    E8=G8    F8=H8
 
The final censuses are:
<!--leading spaces added once again for monospacing-->
dead        |A1
dies in 1    |A2,A3,A13,B1,B2,B3,C1,C2,C3,D1,D2,D3,D12
dies in 2    |A5,A6,A7,A11,B6,B7,B12,C5,C6,C7,C11,C12,D5,D6,D7,E3,H4
dies in 3    |B8,B11,E9,F13,G12
dies in 4    |E5,E6,E8,F5,F8,G8,G11,H8
dies in 5    |B10
dies in 6    |F2,F6
dies in 7    |H3
dies in 9    |H5
blinker      |A4,D4
block        |B9
block in 1  |B4,B5,C4
block in 2  |A9,A12,C10,D10
tub          |B13
tub in 1    |E13,G13
boat        |H12
boat in 1    |F11,G10
pond in 2    |G5
pond in 3    |H7
pond in 4    |D13
beehive in 1 |E4,G6
beehive in 2 |A10,D11
beehive in 3 |D8,D9
loaf in 1    |E2,F4
loaf in 2    |H9
loaf in 3    |G9,H2
loaf in 4    |E7,G1
ship        |H6
t.l. in 5*  |E1,H1
t.l. in 6    |H13
t.l. in 8    |F3,G2
t.l. in 9    |C8,C9
t.l. in 10  |E12,C13
t.l. in 11  |A8,F9
glider      |F10,H11
glider in 1  |E11,H10
R pentomino  |F12
R in 1      |E10
PI heptomino |G3
PI in 1      |F7
Also, G4=R in 1 and
F1 in 3=G7 in 5=PI in 3
*t.l.=traffic lights
 
<!--    -->I have experimented a little with 3-4 life and have found 2 periodic objects
which have not been mentioned in Lifeline.  They are shown, in 1 phase only, in Figures
8 and 9.  Their periods are 12 and 6, respectively.
 
<!--    -->In [[Lifeline Volume 10#Page 8|Lifeline Number 10 page 8]], you requested information on still lifes in which
each bit has the same number of neighbors (, either 2 or 3).  The ones with fewer than
9 bits are: the block, the tub, the beehive, the aircraft carrier, the loaf, the pond,
and the object shown in Figure 10.  Figure 11 shows 2 20-bit still lifes in which each
bit has exactly 2 neighbors. I have not found any others with 20 or fewer bits, but
some larger ones are shown in Figure 12.  In these, each bit has exactly 2 neighbors.
I have not found any still lifes except the block in which each bit has exactly 3
neighbors, and I conjecture that there are none.  So far, however, I have only been
able to prove that such an object must contain a block.  EN: see [[#Page 14|page 14]]
 
====Page 23====
<small>''View [[:File:Lifeline vol 11 p23.jpg|scan of this page]]''</small>
 
{{EmbedViewer
|rle          = x = 41, y = 29, rule = B3/S23
6bo10bo3bo12bo$5bobo8bobobobo10bobo$5bobo7bo2bobo2bo6bo2bobo2bo$3b2o3b2o4bo3bobo3bo4bobobobobobo$2bo7bo4b3o3b3o5bobobobobobo$2bo7bo19bo2bobo2bo$3b2o3b2o5b3o3b3o9bobo$5bobo6bo3bobo3bo9bo$5bobo7bo2bobo2bo$6bo9bobobobo$17bo3bo3$4b2o15b2o$3bo2bo13bo2bo12bo$3bo2bo14b2o12bobo$b2o4b2o26bobo$o8bo9b6o8b2o3b2o$o8bo8bo6bo6bo7bo$b2o7b2o3bo2bo2b2o2bo2bo4b7o$3bo8bobobobobo2bobobobo$3bo8bobobobobo2bobobobo3b7o$4b2o4b2o3bo2bo2b2o2bo2bo3bo7bo$6bo2bo8bo6bo7b2o3b2o$6bo2bo9b6o10bobo$7b2o26bobo$21b2o13bo$20bo2bo$21b2o!<!--last one is not so still as it claims-->
|viewerconfig = #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 984 HEIGHT 696 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
 
Figure 12
Larger still lifes
 
<!--                                          -->::EN: yes, but sadly out of date.
<!--    -->Does the Lifefile still exist?  There has been no mention of it since [[Lifeline Volume 4|Lifeline
Number 4]].  If it does, please send me any information you can concerning collisions
between 2 gliders, a glider and a block, or a glider and a blinker.
 
::Sincerely,
::''Dean Hickerson''<!--(I like his handwriting the most :-)-->
::Dean Hickerson
::P.O. Box 31
::Yreka, California 96097
 
P.S.:
<!--    -->Figure 1 3 contains some 5 state alliances for a lightweight spaceship.  Spaceships
a, b, c, d, e, and f have periods 4, 4, 4, 8, 8, 16, respectively.  Only 1 phase of each
is shown.
 
[insert viewer here]
 
Figure 13<br />
Lightweight spaceship alliances
 
====Page 24====
<small>''View [[:File:Lifeline vol 11 p24.jpg|scan of this page]]''</small>
 
Reader Reply . . .
August, 1973
 
Robert T. Wainwright<br />
LIFELINE Editor
 
Dear Sir,
 
<!--    -->Some assorted comments and discoveries:
 
<!--    -->A lightweight spaceship can also ([[Lifeline Volume 1#Page 4|#1 p4]], [[Lifeline Volume 3#Page 24|#3 p24]])
convert gliders to R's, as shown.
 
{{EmbedViewer
|rle          = x = 8, y = 7, rule = B3/S23
4b4o$3bo3bo$7bo$3bo2bo$bo$2o$obo!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
 
<!--    -->Hexlife ([[Lifeline Volume 2#Page 15|#2 p15]]) includes a period nine oscillator
I call the "magician", with a three-cell grandfather:
 
[the Hexlife in LifeViewer doesn't seem to be the same one as is described here]
 
<!--    -->Petrie notes that the V.C age record ([[Lifeline Volume 4#Page 4|#4 p4]]) is
set by "Pike", which, from a glider collision with a ship or
a boat, takes 997 generations to leave 9 blinkers, 7 blocks,
2 boats, 9 beehives, and a toad.
{{EmbedViewer
|rle          = x = 7, y = 4, rule = DoubleB3S23
AC$C.C2.2C$.2C.2C$6.C!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
 
<!--    -->A glider-toad collision ([[Lifeline Volume 4#Page 6|#4 p6]]) reflects a
glider 90&deg; but doesn't work for glider streams.
These three collisions each reflect the solid
glider down at 90&deg;, and likewise destroy the
target, but each target is unstable and is easy to recreate.
This is especially useful in glider logic.
 
{{EmbedViewer
|rle          = x = 9, y = 9, rule = B3/S23Super
M$.2M$2M$6.M$6.M.M$6.2M$3.2O$2.O.O$4.O!<!--I cannot make heads or tails of this one after checking many times and assume it was in error. Can its original intention be gleamed? -DB-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
{{EmbedViewer
|rle          = x = 9, y = 4, rule = B3/S23Super
6.2M$.O3.4M$.2O.2M.2M$O.O2.2M!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
{{EmbedViewer
|rle          = x = 11, y = 8, rule = B3/S23Super
4.M$5.M2.2M$3.3M.M2.M$8.2M2$3O$2.O$.O!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
 
[insert viewer here]
 
<!--    -->No five-cell [[Polyplet|tangoes]]<!--[[Lifeline Volume 8#Page 3]]--> yield twin blocks,
but the three at left<!--sic: they're on the right--> yield ponds ([[Lifeline Volume 4#Page 10|#4 p10]]).
 
{{EmbedViewer
|rle          = x = 15, y = 3, rule = B3/S23
8bo5bo$3o2b3o4b2o$bobo3bo3bo2bo!<!--one-cell-wide space inserted between the right pair, to prevent interaction-->
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
 
<!--    -->At right<!--sic: it's on the left--> is a clock father ([[Lifeline Volume 6#Page 1|#6 p1]]).
 
{{EmbedViewer
|rle          = x = 6, y = 4, rule = B3/S23
bo$2b2obo$ob2o$4bo!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
 
<!--    -->Gibson's application of the occult was not to blame for
his faulty boxing forecast ([[Lifeline Volume 7#Page 3|#7 p3]]).  The computer shows Frazier's
octomino active 14 re, while Foreman's heptomino is active 18 re.
Each yields a beehive, which presumably symbolizes the boxing crown.
 
<!--    -->Although the variety of mixed still lifes (i.e. with cells with
two and three neighbors, [[Lifeline Volume 10#Page 8|#10 p8]]) is tremendous, only the boat and ship
can be called common, hence the supposedly strange results.
 
<!--    -->Petrie suggests the "Pearl Harbor" fuse, at left, is
the only fuse we know to occur "naturally".  It is found in
a collision of a glider with a light spaceship.
 
{{EmbedViewer
|rle          = x = 5, y = 5, rule = B3/S23
bo$2o$2b2o$2bobo$3b2o!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
 
<!--    -->Here is a new V.F fuse, the "infinity bomb".  The baker
goes out at c, but its loafs burn at 4/5 c with period 40n.  The
result thru 530 generations is cloudy.  The ignition is also messy.
{{EmbedViewer
|rle          = x = 6, y = 5, rule = B3/S23
bo$obo$o2bo$4bo$5bo!
|viewerconfig = #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
|position    = center
|caption      = Figure 11
}}
 
<!--    -->My long-awaited article follows...
 
::Sincerely[insert image here]
::''V. Everett Boyer''
::V. Everett Boyer
 
Lifequote submitted by the Editor:
'Whatever you have received more than others-<!--note: should possibly be replaced by em dash-->in health, in talents
in ability, in success, in a pleasant childhood, in harmonious
conditions of home life—<!--note: should possibly be replaced by em dash-->all this you must not take to yourself as
a matter of course. In gratitude for your good fortune, you must
render in return some sacrifice of your own life for another life.'
                                                  -Albert Schweitzer


==Page Scans==
==Page Scans==

Latest revision as of 21:36, 3 March 2024

Lifeline Volume 11
Lifeline Volume 11
Published in September 1973
Preceded by Volume 10
This page is a transcript of Volume 11 of the Lifeline newsletter
This article may contain spelling mistakes and/or errors that will not be corrected. It is preserved in this way for history's sake. A record of such errors can be found at Lifeline/Errata. 
A QUARTERLY NEWSLETTER FOR ENTHUSIASTS OF JOHN CONWAY'S GAME OF LIFE

O     OOOOO OOOOO OOOOO O     OOOOO O   O OOOOO
O       O   O     O     O       O   OO  O O    
O       O   OOO   OOO   O       O   O O O OOO  
O       O   O     O     O       O   O  OO O    
OOOOO OOOOO O     OOOOO OOOOO OOOOO O   O OOOOO


NUMBER 11
SEPTEMBER 1973
• Editor and Publisher: Robert T. Wainwright •

Page 1

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The unique letter published in LIFELINE Number Ten has triggered quite a few similar responses by other readers. In fact so many replies were received that I decided to extend this issue of LIFELINE to 24 pages to give proper credit. This overwhelming response is especially appreciated since as the masthead indicates, I have just recently moved and now find editorial time even more scarce. Repeating what was said in Number Ten, I certainly welcome any and all letters of this nature no matter how long or short!

As the contents of this issue testify, Life continues to yield more new and interesting discoveries.

x = 4, y = 4, rule = B3/S23 3o$ob2o$o2bo$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 0 Y 0 WIDTH 768 HEIGHT 384 ZOOM 64 ]]
Thompson's piece de resistance
(click above to open LifeViewer)

Three years ago, before we even knew about Life, Conway was busy tracking the smaller ominoes and tabulating the outcomes of each. Had he continued his research, he would have made an amazing discovery for one of the nominoes spawns a lightweight spaceship which successfully escapes! This discovery, shown here on the cover page of LIFELINE Number Eleven, was just recently made by Hugh W. Thompson of Lefrak City, New York who has now successfully tracked all the ominoes up through and including the 1285 nonominoes. The final census of Thompson's 'piece de resistance' includes 13 blocks, 1 boat, 1 beehive, 1 ship, 4 blinkers, 2 trafic lites, 3 gliders (NW,SW,SE) and 1 lightweight spaceship (E)! Formed in generation 198, the 'natural light weight' is about 300 cells east of the debris which finally subsides by generation 800.

Now for some interesting and varied replies and articles sent in by the more energetic Lifenthusiasts and Lifanatics:

Page 2

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Reader Reply . . .

Dear Mr.Wainwright
After weeks of long and frustrating effort,I have engineered the following fuse, along with the two gliders that trigger it.

x = 81, y = 22, rule = B3/S23 $32b2o$ob2ob2ob2ob2ob2ob2ob2ob2ob2o4b2o$2ob2ob2ob2ob2ob2ob2ob2ob2obo9b2o$37b2o$31b2o9b2o$31b2o9b2o$36b2o9b2o$36b2o9b2o$41b2o$41b2o7b2o$46b2obo2bo$46b2obo2bo$50b2o$53b2o$53bobo$53bo2$57b2o$57bobo$57bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 11 Y 1 WIDTH 1760 HEIGHT 484 ZOOM 22 ]]
(click above to open LifeViewer)

The block section of the fuse can be extended to any length whatsoever, or eliminated altogether,placing the pond in conjunction with the second part of the fuse.
The first glider,shown about to collide with the pond,converts it into a ship in 3 generations. The ship(FIG.1)remains until the second glider hits it,and in 4 generations,they are mutually annihilated. However,the fading debris the ship,converts the adjacent block into a latent beehive(FIG.2),and this sets off the first part of the fuse.

x = 10, y = 7, rule = B3/S23 $5b2o$b2obobo$b2ob2o$7b2o$7bobo$7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 0 Y 0.46875 WIDTH 560 HEIGHT 420 ZOOM 60 ]]
FIG.1
(click above to open LifeViewer)
x = 29, y = 10, rule = B3/S23 $4b2o8b2o9b2o$4b2o8b2o9b2o2$7b2o8bo$3b2obo6b2obo7b3o$3b2obo3bo2b2o9b3o$10bo$8bo$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 1.5 Y 0 WIDTH 696 HEIGHT 240 ZOOM 24 ]]
FIG.2
(click above to open LifeViewer)


The beehive interacts vigorously with the upper block and in 8 generations,only the upper block remains,intact.In generation 5,however,a spark from the destruction of the beehive converts the next block in the lower wave,into a latent beehive,and causes the cycle of the first part of the fuse to repeat.(FIG.3).EN: see No.1,p.5.
The first part of the fuse has a period of 6.

Page 3

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x = 12, y = 11, rule = B3/S23 $4b2o$4b2o$9b2o$7bo2bo$3b2o$3b2obo2$7b2o$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 1.375 Y 1.46875 WIDTH 564 HEIGHT 517 ZOOM 47 ]]
FIG.3
(click above to open LifeViewer)
x = 36, y = 10, rule = B3/S23 $17b2o$ob2ob2ob2ob2o2bo2bo$2ob2ob2ob2obo9b2o$14bo7b2o$27b2o$15b2o10b2o $17bo14b2o$32b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 2 Y 1 WIDTH 816 HEIGHT 240 ZOOM 24 ]]
FIG.4
(click above to open LifeViewer)


When the first part of the fuse has reached the second part (Midgard Serpent) the igniting spark lights the horizontal portion (FIG.4),and converts it into a honeyfarm,producing beehives at the rate of one per 12 generations.

In developing this configuration,I spent weeks experimenting with fly-by fuses,and ways to spark off the honeyfarm fuse from the Midgard Serpent. I had serious trouble with the tendency towards unwanted and destructive interactions. Only in the past few days did I find the block and beehive interaction that would light the fuse,and in one day,I developed the double wave of blocks,and then the pond-glider collision that sets off the entire fuse. That took some brief experimenting with glider still life collisions.

In the course of my experiments in the above,I uncovered a collision of six gliders that produces a beehive and nothing else. The diagram shows the six gliders about to interact.After 36 generations,the beehive is alone in the field. (FIGURE 5) The beehive is indicated in its position after completion.

x = 21, y = 15, rule = LifeHistory 4.A$2.A.A.D$3.2AD.D.A.A$5.D.D.2A$6.D3.A2$3A7.2A$2.A7.A.A$.A8.A4.2A$14.2A$16.A2$19.2A$18.2A$20.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 0.5 Y 0.5 WIDTH 576 HEIGHT 408 ZOOM 24 ]]
FIG.4
(click above to open LifeViewer)

A pond is formed in the 6th generation from gliders A and B. Gliders C and D crash to form an adjacent block in generation 7. Glider E reduces the pond to a ship,in generation 14,and after a consider wait,glider F collides with the ship in generation 31 to remove both itself and the ship. The fading debris of this crash converts the block into the beehive (indicated by X-signs).

This seems to be a lot of gliders,just to make a beehive.

Last of all,I desire the addresses of LIFE clubs in New York City, so I can try out various problems of mine, and get acquainted with people who know what I'm talking about,when I talk about LIFE.

Yours Truly,
Paul Wilson
Paul Wilson

Page 4

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Reader Article . . .

The Explosive World of Kinkbombs

By Mark Horton

I became interested in LIFE about a year ago and wanted to do somothing original. Then I was hit by an idea: suppose I have a stable pattern that depends on a fuse for stability? That is, a pattern which is class I, that hag 1 or more fuses extending from it to infinity. What happens when the fuse burns down? I wanted to find a pattern that would blow up, a bomb that creates a spectacular explosion when the lit fuse burns down. Thus I started looking for families of patterns fitting the definition of stability with fuses, or Stable Fuse Ends. (SFE's) The simplest such pattern is the fencepost. (1) This pattern becomes a block, but in how many generations? I needed a starting point, a defined generation 0. Hence I defined Effective Age (EA) of a SFE to be the age of a pattern which 1) is a successor to the given pattern with a long fuse, 2) is identical to the pattern and has either a short or no fuse, and 3) has the shortest possible fuse consistant with 1 and 2. Thus the given pattern for the fence post is [insert image here] and it's ea is 1.
I then discovered that it is possible to place "kinks" in a diagonal fuse without affecting its stability. The kink can go either way, as in (2) and (3). Any number of kinks can be placed in a fuse, and if they are sufficiently spaced, they do not effect it's stability. I can now consider the entire conglomeration of kinks, fuses, and fencepost as the fuse end, with 1 fuse extending from it.
Then I needed a classification system for these patterns, or "kinkbombs", as I call them. I do this by a series of numbers, separated by dashes. The first number is the number of kinks. There are then that many numbers, each telling how many extra bits (besides the 6 required for each kink and the 3 for the fencepost) are between that kink and the next. To attain a universal orientation, I hold the first kink positive, and allow the fencepost and all other kinks to turn either way. A number in the series may be negated to indicate a negative kink, or a turned down fencepost. Each number indicates the direction of the kink after the bits whose number it indicates. The last one is for the fencepost. See some examples in the illustrations: 

    4    ORDER 1 - 0 KINKBOMB
    5    ORDER 1 - 7 KINKBOMB
    6    ORDER 1 - (-2) KINKBOMB
    7    ORDER 2 - 2 - 2 KINKBOMB
    8    ORDER 2 - (-2) - 2 KINKBOMB
    9    ORDER 2 - (-2) - (-2) KINKBOMB
    The fencepost can be considered the order 0 kinkbomb.
    I have been working on the single kink kinkbombs from order 1 - (-10)

through 1 - 10. All are known except the 1 - 7.

The order 1 - 7 has gone over 3000 generations and is still going strong. The average EA of the 18 known (1 - (-0) and 1 - (-1) are not spaced far enough apart to be SFE's) kinkbombs is 218 generations. So I seem to have a gold mine of bombs. I define a "Dud" as a SFE that terminates within 10 generations of when the fencepost is reached, a "Firecracker" as one with an EA less than 200 which is not a "Dud", and a "Bomb" as one with an EA over 200. Out of the 18 known Kinkbombs, 4 are duds, 9 are firecrackers, and 5 are Bombs. The 1 - 7 and 1 - (-10) are also bombs. The 1 - (-2) and 1 - (-6) both form a block and a blinker, both are duds, but the blinker is 1 cell different. They also form differently. (See illustrations 10 & 11).

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#C [[ LABEL 5 10 13 "1 (Fencepost)" LABEL 23 10 13 "2 (positive kink)" LABEL 40 10 13 "3 (negative kink)" LABEL 7 27 13 "4 (1 - 0)" LABEL 21 25 13 "5 (1 - 7)" LABEL 40 25 13 "6 (1 - (-2))" LABEL 5 40 13 "7 (2 - 2 - 2)" LABEL 22 40 13 "8 (2 - (-2) - 2)" LABEL 41 41 13 "9 (2 - (-2) - (-2))" LABEL 5 54 13 "10 (1 - (-2))" LABEL 22 52 13 "11 (1 - (-6))" ]] x = 50, y = 53, rule = LifeHistory 37.C$38.C$39.C$2.C16.C20.C$3.C16.C18.2C$4.C16.C.2C14.C$5.C16.2C.C14.C$6.C.C17.C14.C$7.2C18.C14.C5$17.19F$17.F17.F$17.F.C15.F$17.F2.C14.F$17.F3.C.2C10.F$17.F4.2C.C9.F.C$17.F8.C8.F2.C$2.C14.F9.C7.F3.C$3.C13.F10.C6.F4.C.2C$4.C12.F11.C5.F5.2C.C$5.C11.F12.C4.F9.C$6.C.2C.C5.F13.C.C.F10.C$7.2C.2C5.F14.2C.F9.2C$17.F17.F$17.33F$35.F13.F$35.F.C11.F$19.C15.F2.C10.F$20.C14.F3.C.2C6.F$18F3.C.2C10.F4.2C.C5.F$F16.F4.2C.C9.F8.C4.F$F.C14.F8.C8.F9.C3.F$F2.C.2C10.F9.C7.F8.2C3.F$F3.2C.C9.F8.2C7.F8.C4.F$F7.C.2C5.F8.C8.F9.C3.F$F8.2C.C4.F9.C7.F10.C2.F$F12.C.C.F10.C.C4.F11.C.F$F13.2C.F11.2C4.F10.2C.F$F16.F17.F13.F$18F17.15F2$20.2A$19.2A.A$23.A.D$24.AD$3.CA20.C$2.AC.A20.A$3.D2.A20.A$6.DC19.DC$6.2C19.2C! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 0 Y 2 WIDTH 650 HEIGHT 728 ZOOM 13 ]]
FIG.3
(click above to open LifeViewer)

Note: the number of bits in the upper left fuse is irrelevant, when actually run, there are none, as in 10 and 11. These patterns were run on a UNIVAC 1108 with 65K of core in 5 minute segments. 

                  Results

     Class  Order    EA     Pop     Census

     Dud    0       1       4       b
     FC     1-0     16      3       +
     FC     1-1     23      0       Θ
     FC     1-2     187     55      +,2 t.lite/2,6 B, 2 pond (pi)
     FC     1-3     87      0       Θ
     Dud    1-4     16      4       b
     FC     1-5     116     9       b,g
     FC     1-6     100     16      4b
EN: *BOMB   1-7     >3200
     BOMB   1-8     428     56      S,2g,7b,2+,B
     FC     1-9     137     16      3/4 t.lite, L
     FC     1-10    54      12      2B
     Dud    1-(-2)  8       7       b,+
     BOMB   1-(-3)  984     282     4g,19b,5+,2 3/4 t.lite,10B,1 hf/2,3L,1 tub,3 boats,3S,pond
     Dud    1-(-4)  16      4       b
     BOMB   1-(-5)  278     45      5b,3+,2g,S
     Dud    1-(-6)  16      7       b,+
     BOMB   1-(-7)  1192    173     2g,16b,4+,1½ t.lite,5B,4L,barge,boat
     FC     1-(-8)  75      6       B
     BOMB   1-(-9)  204     24      2B,b,+,boat
     BOMB   1-(-10) 580     122     7+,1 3/4 t.lite,8b,3B,L,pond,3 boats

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Robert T. Wainwright
Editor, Lifeline
Dear Bob:
In the June 1973 issue of Lifeline, Mr. D. G. Petrie asked about collisions of objects having different symbols, wherein the resultant configuration contained some of both symbols. The following examples of this type were discovered while investigating glider—glider collisions. The initial and final configurations are shown in the attached set of figures. In these figures, the configurations are horizontally true and the same vertical row is marked by an arrow.
EN: also see pages 12 and 13

Sincerely Yours,
William P. Webb
William P. Webb
x = 68, y = 11, rule = Immigration 5.B$5.B.B10.2B$.A3.2B11.2B31.A$2.A49.A$3A47.3A12.2A$17.2A36.2B7.A2.B$17.2A36.B.B7.A.B$27.A3.B23.B10.B$25.A.A3.B.B$26.2A3.2B7.2A.2B$40.2A.2B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 0 Y 0 WIDTH 1800 HEIGHT 384 ZOOM 24 LABEL 4 8 13 "Gen 0" LABEL 17 8 13 "Gen 8" LABEL 29 12 13 "Gen 0" LABEL 42 12 13 "Gen 7" LABEL 53 10 13 "Gen 0" LABEL 65 10 13 "Gen 10" ]]
(click above to open LifeViewer)
x = 69, y = 52, rule = Immigration 5.B$5.B.B42.3A4.3B$5.2B24.A4.B$17.B14.A2.B12.A12.B$.A14.B.B11.3A2.3B10.A12.B$2.A13.B2.B28.A12.B$3A14.2B$50.3A4.3B2$14.A$14.A$14.A9$.A28.A$2.A28.A$3A26.3A$16.BA28.2B$16.BA28.2A$5.3B24.3B$5.B26.B$6.B26.B2$59.2A$59.2A2.2A$63.2A$19.2B$19.2B4$.A3.3B6.2A24.A$2.A2.B8.2A6.2B17.A$3A3.B15.2B15.3A$45.B.B$45.2B$46.B$17.2A$17.2A5$63.2B$63.2B2.2B$67.2B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 0 Y 0 WIDTH 1800 HEIGHT 1368 ZOOM 24 LABEL 4 14 13 "Gen 0" LABEL 16 14 13 "Gen 30" LABEL 33.5 10 13 "Gen 0" LABEL 54.5 10 13 "Gen 22" LABEL 3.5 29 13 "Gen 0" LABEL 16.5 29 13 "Gen 10" LABEL 31.5 29 13 "Gen 0" LABEL 46.5 29 13 "Gen 8" LABEL 3.5 47 13 "Gen 0" LABEL 18.5 47 13 "Gen 20" LABEL 42.5 53 13 "Gen 0" LABEL 63.5 53 13 "Gen 70" ]]
(click above to open LifeViewer)


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June 10, 1973

Reader Reply(s):

Robert T. Wainwright
Lifanatic-in-chief

Dear Sir: Besides the 14-bit naturally occuring objects you mentioned, 14.322 (bookends) and the 18-bit "dead spark coil" have been reported as puffer product. I can help answer the question of the probability of occurence of various objects, because I have been doing a large-scale statistical survey of exactly that. The method is to collect the census results for all reported configurations which require ≥200 generations to settle down, and add them up. In the case of symmetric patterns, when 2, 4, or 8 objects are symmetrically equivalent they are counted as one. A table of the findings to date is enclosed. I would appreciate hearing results for all long-lasting methuselahs so that they may be added to the survey. Desired data for each object history is initial pattern (picture or description), age, final census, and all occurences of constellations such as TL or HF; and for symmetric patterns, the degree of symmetry and a special note if any objects are located directly on a line of symmetry.
A comparison between my census table (page nine) and Thompson's data on small objects (#4 p. 10-12) shows that for most objects the frequency of natural occurrence is (roughly) inversely proportional to its area and directly proportional to the number of small ancestors. One noted exception: The ship is much more common than would be expected; on examination it turns out that most natural ships occur as descendants of the very common B-heptomino. The pond and loaf are both rarer than expected, for what reason I know not. EN: is the loaf rare?

June 17, 1973

Robert T. Wainwright
Lifeline Ed.

Dear Sir:
The question of determining the degree of "naturalness" of objects is a tricky one and an important one. In line with the material in my June 10 letter I have been trying to develop a numerical measure of naturalness/artificiality which would range from, say 1 for the block (the most common object) to ∞ for GoE patterns. The inverse of the cumulative census count (1/C) gives a direct measurement of artificiality, but with the present amount of data it is only valid for the top 10 or 12 objects and patterns. After some study I have found 5 measurable variables associated with Life patterns that seem to be useful: (S) the size (population) of the pattern; (N) the number of ancestors of size ≤6; (A) the area occupied by the pattern (obtained by counting all live cells and all cells which have at least one neighbor); (M) the size of the minimum predecessor other than itself (thus for blinker M=4); and (G) the minimum number of gliders required to construct it. (As you can sec, your recent suggestions were quite useful.)
First of all (S) was eliminated because it measures basically the same thing as (A) does, but with less precision. The available data is somewhat limited, but it appears that the quantity 1/C varies directly with (A), inversely with (N), exponentially with (M), and exponentially with (G). (N) can be used only for patterns with a 6-bit ancestor, but (A) can quickly be found for any pattern, and thanks to the activities of a multitude of Life-freaks (G) is known for many of the "interesting" patterns and (M) is known for almost all of them. When (G) is not known the approximation G=½M will do, and when (M) is not known some quick backtracking by hand will usually yield something close to it.
With all that in mind, I suggest the following tentative definition for the "artificiality factor":

AF = (A/16)e(M+G-5)

Since adding 1 to M or G will multiply AF by 2.7, this cannot be an exact measure, but it does provide a good order-of-magnitude estimate. Except in three cases (ship,

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pond, and HF), the AF corresponds reasonably well to the observed census data, and using AF has the advantage that it can easily be applied to Class IV and V patterns for which other measurements do not work. Some typical AF values are: block 1.00, blinker 3.58, boat 10.1, TL 13.1, tub 26.4, B-heptomino 32.7. eater 95.9, HF 147 (an anomaly there), pentadecathlon 8950, and P30 glider gun 2.8x1013.
Making a couple of further assumptions, I have been guesstimating the sizes of random broths necessary in order to expect to see natural occurrences of various rare patterns (for instance, 108x108 for the P30 gun). I would like to know if the as- sumptions were justified, and since you seem to have done the most with random-broth experiments I turn to you for information. When the pattern has reached a steady-state situation (i.e. swirling around at more-or-less constant density), what is the density on the average? Also, what percentages of the live bits belong respectively to terminal forms, easily recognizable nonterminals (pi, r, etc.), and amorphous masses? Finally, what is the half-life for terminals once they have been formed in the field? For Class I and II objects I imagine the expected lifetime within a broth would equal (constant)/(area), but I have no idea what it might be for the glider or how to calculate it for other moving objects. Can you supply this information, if available, please?
This whole line of investigation has an important bearing on some intriguing speculations by Conway. He has suggested that, given a sufficiently large random pattern, it is likely that by pure chance Life computers and self-replicating animals would form out of the broth, that thru interaction with the surrounding random debris these patterns would mutate and evolve, and that in this way a large Life pattern would in fact be a simulation of real-life biological processes. If AF or some similar measurement proves to be a reliable indicator, we might then be able to calculate how large a starting pattern and how many generations would be needed to create a truly "living" Life-form. It would be interesting to see how these numbers might compare with, say, the atomic weight of an amoeba and the length of time it took for the first amoeba to evolve on Earth.

I expect shortly to have computer access, so hopefully I can start running some large-scale patterns. Most of the previously-sent items were found by hand, and I have been living in deathly fear that someone would run one of my collisions and discover it didn't work. I will try to run as many methuselahs as possible, so that in a couple of months I can send you some updated and expanded results for the cumulative census.

It has occurred to me that the census count for TL and HF may be slightly low because several results reported in Lifeline apparently lumped these patterns together with the blinkers and beehives. I would like to know (if the data exists) if there were any instances of TL or HF in these final censuses: glider-cigar crash (#4 p.5), Y34 fuse ignition smoke (#4 p.7), Horton's "five" (#7 p.8), and the nonominoes N-1 and N-2 (#10 p.2).

That's all I can think of right now. I hope the preliminary suggestions I have made will be helpful. As you can tell from my requests for data, there is still a great deal about the "naturalness" question that I am unsure of. Can you think of any other useful measurements? EN: I think this is an excellent beginning - any ideas from other readers?

Doug Petrie
Douglas G. Petrie

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             CUMULATIVE CENSUS OF NATURALLY-OCCURING OBJECTS

                                      |                             |
            single objects            |    common constellations    |
--------------------------------------+-----------------------------+
                                   o  |                    o        |
                                   c  |                    c        |
                                   c  |                    c        |
                                   u  |                    u   o    |
                                   r  |                    r   b  n |
                                   r  |                    r   j  o |
                                   e  |                    e   e  . |
                                   n  |                    n   c    | total
                                   c  |                    c   t  o | census
                                   e  |                    e   s  f | count
                |    |     |L.L. | s  |                  | s |      | for
       name     |size|class|ref. |    |        name      |   |      | object
----------------+----+-----+-----+----+------------------+---+------+---------
blinker           3   II          204 |{traffic lights     42   150}| 354
                                      |{interchange         0     0}|
block             4   I           361 |                             | 361
tub               4   I            10 |                             |  10
boat              5   I            66 |                             |  66
glider            5   III          87 |                             |  87
beehive           6   I           163 | honey farm         13     49| 212
ship              6   I            25 |                             |  25
barge             6   I             3 |                             |   3 +-----------
aircraft carrier  6   I    #2 p.12  0 |                             |   0 |   (14.488)
snake             6   I             0 |                             |   0 |     OO
toad              6   II            0 |                             |   5 |    O  O
clock             6   II            5 |                             |   0 |    OO O
loaf              7   I             0 |                             |  48 |     O OO
long boat         7   I            48 |                             |   2 |     O  O
eater             7   I             2 |                             |   0 |      OO
(7.1)             7   I    #3 p.2   0 |                             |   0 |
beacon            7   II            1 |                             |   1 |
pond              8   I             9 |                             |   9 |    dead
long barge        8   I             1 |                             |   1 | spark coil
cigar  (8,3)      8   I    #3 p.2   1 |                             |   1 |   OO   OO
long ship         8   I             0 |                             |   0 |   O O O O
bipole            8   II   #3 p.3   0 |                             |   0 |     O O
(10y)            10   I    #9 p.3   1 |                             |   1 |   O O O O
l. spaceship     10.5 III           0 |                             |   0 |   OO   OO
m. spaceship     11.5 III           0 |                             |   0 |
half-fleet       12   I    #7 p.4   0 | fleet               2      4|   4 |
bookends         14   I    #3 p.7   1 |                             |   1 | half-bakery
half-bakery      14   I      ->     0 | bakery              0      0|   0 |       OO
S-14             14   I    #4 p.5   0 |                             |   0 |      O  O
(14.488)         14   I      ->     0 |                             |   0 |      O O
dead spark coil  18   I      ->     0 |                             |   0 |    OO O
spark coil       19   II   #3 p.3   1 |                             |   1 |   O  O
pentadecathlon   20.9 II            1 |                             |   1 |   O O
pulsar           58.7 II            0 |                             |   0 |    O
--------------------------------------+-----------------------------+-----+-----------


Notes and comment: --This table consists of the sum of the final censuses of all Class V patterns known to me whose age is at least 200 generations.
--Objects with a census count of 0 are considered to be "natural" and included in the table if they have appeared temporarily in an intermediate stage of some more-or-less random pattern, if they result from the interaction of two commonly-seen objects (for instance, glider + preblock ⇒ spaceship), or if they have an ancestor of 7 bits or less.
--For traffic lights and honey farm the number of objects is less than 4 times the number of constellations because of the inclusion of several ½TL, ¾TL, and ¾HF.
--"Size" of Class II and III objects is defined as average population over all phases.

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Reader Article . . .

AN INTRODUCTION TO GLIDER LOGIC

by V. Everett Boyer, San Diego with counsel from Doug Petrie and J. H. Conway

Glider logic involves simulation by Life of digital electronics, with gliders substituting for electric pulses. Straight wires, basic timing, and power are then provided by the ether and by glider guns. Most logic is accomplished by right-angle crossings of glider streams. The question of whether a glider has escaped a collision represents a bit of information. Gliders and holes must then react appropriately.

[insert image here]

To deal efficiently with the many different arrangements of two glider streams, collisions are classified by delay and parity. The parity is obtained from the separation between the two paths. Even separation and parity is designated by a plus (+), odd by a minus (-). The delay is the number of generations by which one glider trails a glider on the intersecting path. There is no collision if the delay is at least 19 but thus with P(period)-30 streams, delays above 11 are ambiguous and demand extra care. Here is a partial list of basic glider collisions, coded by delay and parity: 

code  age  result    |code  age  result
 0-   4  twin blocks |  3+   7  pond
 1- 152  'B' LL#3p12 |  4+   5   -
 2-   6  blinker     |  9+  14  eater
 3-  33   - (dies)   | 10+   5  block
 5-   7   -          | 11+   5   -
 6-  14   -          | 12+   6  beehive
 7-  11   -          | 17-   9  glider
 8-   9   -          | 15-   5   -
10-  26  blinker     | 14-  14   -
12-   5  block       | 13-  12   -

More than one third of the 38 right-angle collisions are simple enough to be good for glider logic. The vanish reaction, the most common, is surprisingly useful. And the kickback (17-) reaction also is valuable. More important may be the three ternary (9+, 10+, 12-) reactions, in which the resultant object vanishes quickly with the next glider to come along, from either stream. A ternary crossing of P-30 streams is the minimum known P-60 gun. Other useful reactions appear later.

x = 43, y = 27, rule = B3/S23 31b2o$29bo2bo$16bobo9bo$16bo3bo7bo$20bo7bo$16bo4bo7bo2bo6b2o$20bo10b2o6bobo$7b2o7bo3bo20bo$6bobo7bobo22b2o$6bo$5b2o23b2o$30b2o4$35bo$2o21bo12b2o$bo21b2o10b2o$bobo7bobo8bobo$2b2o7bo3bo$15bo10b2o$11bo4bo7bo2bo$15bo7bo11b2o$11bo3bo7bo11b2o$11bobo9bo$24bo2bo$26b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 0.3125 Y 0.4375 WIDTH 1080 HEIGHT 696 ZOOM 24 ]]
a 'twogun' (period 60)
(click above to open LifeViewer)

The next five questions, completing the fundamentals of digital electronics, involve bridging, bending, timing, gating, and branching. P-30 streams cannot cross without reacting. Newgun P-46 streams can, but use of slightly smaller twogun P-60 guns makes bridging easier and takes advantage of P-30 streams where there is no bridging. A NOT gate which turns a corner is provided by a vanish reaction with a full stream, but simple bending is done with a special reaction. The best known solutions use a two-bit spark from a junkie or a twin bee (LL#3p14). Special effort is also required to make streams arrive at just the right time. Inserting pairs of NOT gates preserves the information, and the number of vanish reactions (4+, 11+, 5-, 6-, 7-, 8- for P-30 logic) provides

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x = 45, y = 20, rule = DoubleB3S23 25.2C$23.C2.C$10.C.C9.C7.5C$10.C3.C7.C6.C5.C$2C12.C7.C7.2C3.C$2C8.C4.C7.C2.C7.C$14.C10.2C$10.C3.C16.2C$10.C.C8.C.C5.C3.C$22.2C4.C5.C$22.C4.2C.C3.C8.2C$28.C5.C8.2C$29.C3.C$19.B11.2C$19.2B$18.B.B2$26.A.A$27.2A$27.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 0.5 Y 0 WIDTH 1080 HEIGHT 480 ZOOM 24 ]]
(click above to open LifeViewer)

the freedom to reposition and time information exactly. Give all the foregoing, gating information becomes trivial. All boolean functions are easily performed by vanish reactions. Two guns can produce either AND or OR outputs from three parallel inputs. The final problem is of copying information, and Conway and M.I.T. were greatly troubled, as is seen by Conway's 12-gun solution, which would copy P-240 data. The problem is better answered with ternary reactions; branching a P-60 stream takes only a P-30 gun and twogun. Bridging or branching a P-30 stream is done by dividing it into P-60 streams to be treated separately and merged afterwards.

[insert image here]

Since exactly plotting large numbers of glider guns detracts from logical design, various simple symbols are used instead, and designers deal with generalizations; the exact positioning of each glider gun is put off. Streams are shown by lines and each component is symbolized, as shown or otherwise. When required, reactions can be marked with delay, parity, and a mark by the advanced stream which leaves the delay by the delayed stream. Every time glider streams close a loop, the sum of the parities must be even, and the four delays must check out appropriately. A special case, for a new glider is actually created, is the kickback reaction. The primary use of the (17-) reaction is in thinguns, where the release of a glider every 120 generations, of a multiple of 120 generations, is caused by a pair of repeating kickback reactions. The new glider is delayed in a (5-) relation to the original stream. The two streams from the siamese gun have a (15+) relationship. Therefore, the parity of the vanish reaction is even, the delay is odd, so it must be an (11+) reaction. Also, by chance, a minimum thingun can use a ternary reaction (9+), which allows closer packing of the subparts.

[insert image here]

Three other symbols used show where streams have been (+) delayed or (o) advanced a 30-generation cycle.

As an example for study, a P-30-stream branch is shown here, with a P-60 analysis of all information flow. Imagine a cell-by-cell plot.

EN: (!)

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Reader(s) Reply . . .

Dear Bob,

Our group has found an assortment of interesting information in a wide variety of classes, most of which is contained herein.

x = 10, y = 11, rule = B3/S23 3bo2bo$bobo2bobo$2b2o2b2o6$bobo2bobo$o2bo2bo2bo$bobo2bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 0.5 Y 0 WIDTH 560 HEIGHT 560 ZOOM 24 ]]
(click above to open LifeViewer)

The reaction to the right between two gliders and a pentadecathlon reflects the two gliders by 90 degrees, and the gliders just barely escape the pentadecathlon. (Dave Buckingham's idea) Another interesting pentadecathlon-glider interaction is shown to the right, where four gliders delay the pentadec. by 6 generations, thus making it period 21 for one cycle. Could this be used in the construction of odd-period oscillators or puffer trains , breeders, guns etc. ?

x = 36, y = 7, rule = B3/S23 6bo26bo$4bobo26bobo$5b2o8bo4bo12b2o$13b2ob4ob2o$b2o12bo4bo8b2o$obo26bobo$2bo26bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X -1 Y 1 WIDTH 1104 HEIGHT 432 ZOOM 24 ]]
(click above to open LifeViewer)

I have also followed the fates of all the glider-glider collisions, and some of the glider-object collisions in immigration-LIFE. All that resulted in a mixed census are shown below. Some, too complex to trace by hand, I will leave to those with access to large computing facilities. Also Pete Raynham has supplied a house-tub-tub interaction which releases two hybrid gliders.

x = 18, y = 15, rule = Immigration 15.A2B$15.A$16.A3$2A$A.A2.B3.B$2.A.B.B.B.B$A.A2.B3.B$2A3$16.A$15.A$15.A2B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 560 ZOOM 24 ]]
(click above to open LifeViewer)
x = 19, y = 7, rule = Immigration 5.A4.3B$4.A$2B2.3A$B.B13.2A$B14.A2.A$15.A.A$16.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 15, y = 4, rule = Immigration .A10.AB$.2A8.A2.B$A.A8.A2.B$4.3B5.AB! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 16, y = 7, rule = Immigration 5.A$4.A$4.3A6.2B$.2B10.B.A$2B13.A$2.B10.B.B$13.2B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 15, y = 3, rule = Immigration 3A.3B5.2A$2.A9.A.B$.A11.2B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 15, y = 7, rule = Immigration 3.A$2.A$2.3A$13.2A$.B12.A$2B9.3B$B.B8.B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 16, y = 6, rule = Immigration 4.A$3.A$3.3A8.2A$2B8.2B2.2A$B.B7.2B$B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 15, y = 4, rule = Immigration 3A10.B$2.A.3B5.A.B$.A9.A2.B$12.2A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 24, y = 7, rule = Immigration 12.3B4.3A2$.2B2.2A3.B12.A$B.B2.A.A2.B12.A$2.B2.A4.B12.A2$12.3B4.3A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 15, y = 7, rule = Immigration .B$B.B$.B10.2B$12.B.A$2.2A9.A$.A.A$3.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 15, y = 4, rule = Immigration .A2.3B6.2B$.2A8.A2.B$A.A8.3A$11.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)

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Here are the rest of the immigration collision. Also included are some four-glider collisions to produce unusual still-lifes or oscillators. As four gliders are usually use used, the most representative combination is shown. The others can be easily figured out. Can you find any use for the one that makes two B- heptominoes? (i.e. something like the 'Twin Bees')

x = 29, y = 8, rule = Immigration 11.B$11.B.B$5.A5.2B$3.A.A2.2B15.2AB$4.2A2.B.B15.A2B$.2A5.B$A.A$2.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 720 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)

x = 37, y = 9, rule = Immigration .A$2.A$3A16.B10.2A$4.3A11.B11.A.A$6.A11.3B11.A2.2B$5.A8.3B13.A.A.B.B$14.B15.2A2.B$15.B18.B.B$35.2B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 912 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)

x = 37, y = 6, rule = Immigration .A17.B$2.A15.B11.2A3.2B$3A15.3B9.A.A.B.B$4.3A7.3B15.A.B$6.A7.B15.A.A.B.B$5.A9.B14.2A3.2B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 912 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)

x = 34, y = 7, rule = Immigration A.A8.B.B$.2A8.2B$.A10.B11.3A4.3B$24.A2.A2.B2.B$2.3A4.3B12.A.2A2.2B.B$4.A4.B$3.A6.B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 816 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)

x = 27, y = 7, rule = Immigration 2.A$A.A13.B$.2A13.B.B$4.2A10.2B7.A$5.2A6.2B10.AB$4.A7.2B11.AB$14.B11.B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 672 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)

x = 29, y = 7, rule = Immigration A.A12.B$.2A12.B.B$.A13.2B8.A$25.2AB$4.2A6.2B14.B$3.A.A5.2B12.2AB$5.A7.B11.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 720 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)
x = 24, y = 58, rule = Immigration 5.A4.3B$2B2.A$B.B.3A9.2A$B14.A2.A$15.A.A$16.A4$ 3.A$3.A.A$3.2A$12.2A$.2B8.B.A$2B9.B.B$2.B8.2B10$ .2B.2A5.2B.2A$B.B.A.A4.2B.2A$2.B.A3$ 16.2B$16.2B$2.B.B$3.2B17.2B$3.B18.2B$.A9.2A$2A9.2A$A.A$17.2A$17.2A3$ B.B$.2B$.B13.2B$4.A10.2A$3.2A$3.A.A4$ .B$2.B$3B10.2B$12.2B$3.2A8.2BA$3.A.A9.A$3.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 576 HEIGHT 1392 ZOOM 24 ]]
(click above to open LifeViewer)

x = 27, y = 8, rule = Immigration .A3.B14.2A3.2B$2.A.B15.A.A.B.B$3A.3B15.A.B$22.B.A$20.B.B.A.A$3B.3A13.2B3.2A$2.B.A$.B3.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 840 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)

x = 35, y = 8, rule = Immigration .A$2.A14.B$3A13.B13.A$4.3A9.3B11.3A.B$6.A5.3B18.2B$5.A6.B17.2A$13.B16.A.3B$34.B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 864 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)

x = 38, y = 7, rule = Immigration .A18.B$2.A16.B$3A16.3B8.2A4.2B$4.3A8.3B12.A.A2.B.B$6.A8.B16.2A2B$5.A10.B13.A.A2.B.B$30.2A4.2B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 912 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)


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Dave has found several interesting glider collisions, all of which involve four gliders coming in from different directions. One of these forms a 'quick toad' in only three(!) generations. Another forms a fleet, and the 'third forms an odd fourteen- bit still life consisting of two honeyfarm predecessors inducting one another. Pete also discovered a way of making the fourteen bit 'paperclip' (everybody's term) from two gliders and a middle-wt. s.ship.

I have found yet another 'Cha-cha' oscillator, comprising 32 bits. (see below)

As for still lifes, Dave has pointed out that there are four, and not two,twenty-bit still lifes in which all bits have two neighbours. The complete list up to twenty bits with 2 or 3 neighbours is shown below.

x = 24, y = 12, rule = B3/S23 4bo$4bobo11b2o$4b2o11bobo$2bo14b2o$obo12b2o$b2o11bobo5b2o$5b2o7b2o5bobo$5bobo13b2o$5bo13b2o$2b2o14bobo$bobo14b2o$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 672 HEIGHT 432 ZOOM 24 ]]
(click above to open LifeViewer)
x = 23, y = 11, rule = B3/S23 12bo$12bobo$12b2o6b2o$2bo16bo2bo$obo16b3o$b2o$4b2o13b3o$5b2o12bo2bo$4bo7b2o6b2o$12bobo$12bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 648 HEIGHT 312 ZOOM 24 ]]
(click above to open LifeViewer)
x = 15, y = 45, rule = B3/S23 b2o7bo$b2o6bobo$9bobo$7b2o3b2o$2bo3bo7bo$bobo3b2o3b2o$2bo6bobo$9bobo$10bo$b2o$o2bo$b2o7bo$9bobo$10bo$2o$o2bo4b5o$2b2o3bo5bo$8b5o2$bo8bo$obo6bobo$o2bo6bo$b2o2$10bo$b2o6bobo$o2bo6bo$o2bo$b2o5b5o$7bo5bo$8b4obo$b2o9bo$o2bo6bo$bo2bo5b2o$2b2o2$9b2o$10bo$8bo$7bob4o$7bo5bo$8b4obo$12bo$10bo$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 1128 ZOOM 24 ]]
(click above to open LifeViewer)
x = 11, y = 11, rule = B3/S23 5bo$3bobobo$bobobobobo$2b2obob2o$o4bo4bo$b4ob4o$o4bo4bo$2b2obob2o$bobobobobo$3bobobo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 264 ZOOM 24 ]]
(click above to open LifeViewer)
x = 25, y = 11, rule = B3/S23 7b5o$7bo4bo$7bo$2b2o4bo3bo9b2o$b2o7bo10bo2bo$3bo17bob2o$20b2obo$20bo2bo$bo19b2o$b2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 648 HEIGHT 312 ZOOM 24 ]]
(click above to open LifeViewer)
x = 16, y = 14, rule = B3/S23 bo$2bo$3o$4bo$3bo$3b3o8bo$14b2o$14b2o$2b3o10bo$4bo$3bo$5b3o$5bo$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 540 HEIGHT 384 ZOOM 24 ]]
(click above to open LifeViewer)

EN: yet even more 14- bit still lifes (!) see No.10, p.2.


Many still lifes have been successfully used in the construction of spaceships, oscillators, puffer trains, other still lifes, etc. Some still lifes, however, which might be potentially very useful are virtually impossible to form by ordinary means. We have devised a method of adding bits and pieces to some of the less exotic still lifes. For example, the eater can be transformed into the tub with tail, etc. with the use of several gliders. Some of these require the use of many gliders, but in time this number can be out down. (See next page for a partial list of the still lifes that can be formed from gliders.)

EN: really amazing!

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x = 21, y = 21, rule = B3/S23 2o6bo6bo$bo6b3o4b3o$bobo7bo6bo$2bobo5bo6bo$3bo6bobo4bobo$11b2o5bobo$19bo3$2o6b2o5bo$bo7bo5b3o$bobo5bob2o5bo$2bobo5bobo4bo$3b2o6bo5bobo$18bobo$19b2o$2o$bo$bob2o$2bo2bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 504 ZOOM 24 ]]
(click above to open LifeViewer)
x = 45, y = 11, rule = B34/S34 39bobo$37bobobo$3bo10bobobo2bobo8bobobo6bo$3bobo8bobob2obobo8bobobo$bo10bo12bo4bo12b2o$6b2o$2o9b2o12b2o2b2o12bo$6bo30bobobo$2bobo7bo12bo4bo6bobobo$4bo9bobob2obobo8bobobo$14bobo2bobobo8bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 1080 HEIGHT 264 ZOOM 24 ]]
(click above to open LifeViewer)
x = 43, y = 13, rule = B34/S34 11bobobo19bobobo$9bobobobo17bobobobo$11bo5bo13bo3bo5bo$7bo19bobobobo$3bobobobo7b2o8bobobo9b2o$3bobobo17bo$bo15bo23bo$11bobobo8b2o9bobobo$2o7bobobobo17bobobobo$11bo13bo5bo3bo$bo5bo19bobobobo$3bobobobo17bobobo$3bobobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 1032 HEIGHT 312 ZOOM 24 ]]
(click above to open LifeViewer)
x = 15, y = 10, rule = B34/S34 9bobo$3bobobobobo$3bobo7bo$bo$13b2o$2o$13bo$bo7bobo$3bobobobobo$3bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 540 HEIGHT 240 ZOOM 24 ]]
(click above to open LifeViewer)

As in LIFE, there are an infinite number of flip-f1ops in 3-4 LIFE, which are either of period two, such as the first three examples shown above, or period four, such as the remaining three examples. It should be noted that these are only representatives of some of the varied activities that occur in these flip-flops. Also, many LIFE flip-flops, in which all the original bits die, can be used in 3-4 LIFE with much the same effects.It may be possible to insert other oscillating machinery into these to change the period to something like 8, but Dave believes this to be unlikely, as he did not come accross anything promising while designing the above examples. As for pragmatic applications, flip-flops might be used to stabilize transfinite oscillators. (see LIFELINE #9)

Below is yet another one of Dave's "Sombrero" constructions. Essentially period six, the sombrero supplies a bit every six generations to the object beneath it. In this case, the object is the period four construction shown as a wick in LIFELINE #3. The added bit extends the period to six, thus making the entire thing oscillate. Unfortunately, it is as yet impossible to make the period four construction finite, and hence the same applies to the period six sombrero construction. Thus a wick form is needed.

On the next page are some variations of the eater- subclass oscillators "Confused Eater", and "Honeyfarm w/tail"

In the first example, a confused eater is used to confuse another eater. In the second example, a confused eater is used to stabilize a h.farm w/tail

x = 38, y = 25, rule = B3/S23 18b2o10b2o$18bo2bo8bo2bo$5bo13b3o4bo4b3o$4bobo18bobo$4bobo12b3o3bobo3b3o$2ob2ob2ob2o7bo3bob2ob2obo3bo$o4bo4bo8bobo4bo4bobo$b3o3b3o8b2ob4o3b4ob4o$3bobobo16bobobo7bo$19b3o9b3o$18bo3bo7bo3bo$18bo3bo7bo3bo$4bobo12bobo3bobo3bobo3bo$3bo3bo16bo3bo7bo$3bo3bo16bo3bo7bo$4b3o18b3o9bo$18bobobo7bobobo$4b3o10b2o3b4ob4o3b4o$3bo2bo13bo4bobo4bo4bo$3b2o13b2ob2obo3bob2ob2obo$19bobo3b3o3bobo3bo$19bobo9bobo$20bo4b3o4bo4bo$25bo2bo8bo$27b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 1080 HEIGHT 600 ZOOM 24 ]]
(click above to open LifeViewer)

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x = 17, y = 33, rule = B3/S23 2bo$2b3o$5bo$4b2o$5b3o7b2o$6b2o7bo$5bo6b2obo$5b2o2b2o3bo$9bo$10b3o2$8b2o$9bo$6b3o$6bo3$8b2o$8bo$10bo$6b5o$6bo$2o7b2o$bo7bobo$bob2o5b2o$2bo3b2o2bo$7bo3b3o$4b3o6bo2$7b2o$7bo$8b3o$10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 540 HEIGHT 792 ZOOM 24 ]]
(click above to open LifeViewer)

The idea of using a confused eater toeat other oscillators can be extended indefinitely (i.e. a confused eater which is eating a confused eater which is eating ... ) The use of this technique, however is restricted to oscillators with a period of four.

Below is an interesting example of a shuttle- bound oscillator. The centre behaves much like the period 30 (pentadec./2) agar, except that it is not inducted on the sides, and tends to expand out the sides. As in the development of the pulsar, each traffic- light pred. doubles itself, and three of the shuttles produce beehives to kill the preds. on one side. Then the process repeats, and the preds. move back, the other side being wiped out by the other three shuttles. It can also be done with pentadecathlons if they are positioned strategically enough to eliminate the preds. fast enough.

x = 51, y = 50, rule = B3/S23 26b2o$26b2o11$24b2o3b2o$26b3o$25bo3bo$10bobo13bobo9bobo$10bo3bo12bo8bo 3bo$14bo21bo$2o8bo4bo19bo4bo8b2o$2o12bo21bo12b2o$10bo3bo3b3o3b3o3b3o3b o3bo$10bobo25bobo$16bo4bobo3bobo4bo$16bo4bobo3bobo4bo$16bo4bobo3bobo4b o2$18b3o3b3o3b3o2$9bobo27bobo$7bo3bo27bo3bo$2o5bo35bo5b2o$2o4bo4bo27bo 4bo4b2o$7bo35bo$7bo3bo27bo3bo$9bobo27bobo6$24b2o3b2o$26b3o$25bo3bo$26b obo$27bo4$26b2o$26b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 1224 HEIGHT 1152 ZOOM 24 ]]
Dave Buckingham's
Period 30 Pseudo-
Shuttle
(click above to open LifeViewer)

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x = 19, y = 19, rule = B3/S23:T29,29 5b3o3b3o$4bo3bobo3bo$4bo3bobo3bo$4bo3bobo3bo$b3ob3o3b3ob3o$o3bo9bo3bo$o3bo9bo3bo$o3bo9bo3bo$b3o11b3o2$b3o11b3o$o3bo9bo3bo$o3bo9bo3bo$o3bo9bo3bo$b3ob3o3b3ob3o$4bo3bobo3bo$4bo3bobo3bo$4bo3bobo3bo$5b3o3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 696 HEIGHT 696 ZOOM 24 ]]
(click above to open LifeViewer)

At present, there are two basic shuttles: The period 30 "Queen Bee" shuttle, (etc.),and the period 46 "Twin Bees" shuttle, (etc.). Now, for a new addition to this class, Dave Buckingham reports the period 28 (!) "Newshuttle". (Shown below) This is similar in principle to the pseudo-shuttle shown on the previous page, in that it follows the evolution of the pulsar. Normally, however, when two t-tetrominoes are placed 3 spaces apart, they replicate fifteen generations later, allowing for a period 30 shuttle. However, if the outer blinker is somehow removed, the t-tetrominoes re-appear in only fourteen generations. This reduces the period to 28. Because of the extra machinery needed to eat the extra blinkers off the sides of the forming pulsars, it has been necessary to induct eight pairs of t-tetrominoes, forming the grotesquely huge object shown below. As of yet, nobody has been able to cut down the size of this, or even to use it in a possible period 28 gun (any ideas?)

Above is a beriod 29 agar (residing on a 29x29 torus), which is a comb- ination of the period 14 and 15 movements. Also, the period 28 and 30 oscillators can also be made into agars in the same way.

x = 51, y = 51, rule = B3/S23 26b2o$20bo3bo2bo2bo$18b3o3b3o3b3o$8b2o7bo15bo7b2o$9bo7b2o5b3o5b2o7bo$9bobo11bo3bo11bobo$10b2o2b3o6b2ob2o6b3o2b2o$13bo3bo15bo3bo$3bo9bo3bo2b3o5b3o2bo3bo9bo$3b3o7bo3bobo3bo3bo3bobo3bo7b3o$6bo7b3o2bo3bo3bo3bo2b3o7bo$5b2o12bo3bo3bo3bo12b2o$20b3o5b3o$7b3o31b3o$6bo3bo29bo3bo$6bo3bo29bo3bo$6bo3bo29bo3bo$3b2o2b3o13b2ob2o13b3o2b2o$2bobo18bo3bo18bobo$2bo6b3o12b3o12b3o6bo$b2o5bo3bo13bobo9bo3bo5b2o$8bo3bo14b2o9bo3bo$8bo3bo7b2o16bo3bo$2o3b2o2b3o5b2o2bo10b2o5b3o2b2o$obobobo10bob2o10bobo10bobob2o$2bobo14bo11bo14bobo$b2obobo10bobo10b2obo10bobobobo$5b2o2b3o5b2o10bo2b2o5b3o2b2o3b2o$8bo3bo16b2o7bo3bo$8bo3bo9b2o14bo3bo$b2o5bo3bo9bobo13bo3bo5b2o$2bo6b3o12b3o12b3o6bo$2bobo18bo3bo18bobo$3b2o2b3o13b2ob2o13b3o2b2o$6bo3bo29bo3bo$6bo3bo29bo3bo$6bo3bo29bo3bo$7b3o31b3o$20b3o5b3o$5b2o12bo3bo3bo3bo12b2o$6bo7b3o2bo3bo3bo3bo2b3o7bo$3b3o7bo3bobo3bo3bo3bobo3bo7b3o$3bo9bo3bo2b3o5b3o2bo3bo9bo$13bo3bo15bo3bo$10b2o2b3o6b2ob2o6b3o2b2o$9bobo11bo3bo11bobo$9bo7b2o5b3o5b2o7bo$8b2o7bo15bo7b2o$18b3o3b3o3b3o$20bo2bo2bo3bo$23b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 1224 HEIGHT 1224 ZOOM 24 ]]
(click above to open LifeViewer)

We would appreciate it if anyone finding any uses of the above, or ways of making the periods 292or 30 agars finite, to contact one of us. (The period 30 can be stabilized with shuttles or with pentadecathlons.) If some Class I objects could be used, then they would be true shuttle oscillators.

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Concerning your definition of an object: The pattern shown at right consists of four blocks, The block made out of 'x'es is an object, because all the bits are connected. The blocks made out of 'o's make an object, because they cause a birth which does not normally occur on blocks. However, when these two objects are placed together as shown, the birth will not occur. Therefore this is an object. But according to your definition, this is not an object because no births are caused on the blocks. IS THIS CONFIGURATION AN OBJECT OR NOT ??????????

x = 5, y = 5, rule = Immigration 2A.2A$2A.2A2$2B.2A$2B.2A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 540 ZOOM 48 ]]
(click above to open LifeViewer)
EN: see No.1,p12.

Due to lack of space, i have been forced to withhold some of our recent discoveries. We will send these in at a later date. We have a great assortment of glider collisions to produce some interesting results: Twin Bees(4 gliders), pair of bookends(6),glidersomino(4),shooting a pentadec. 9 gens. out of phase, ass opposed to 6(4), etc.

By the way, what ever happened to most of the COMING EVENTS?

EN: pre-empted by new stuff!
                              o o      ooo
                               o        o
                               o ours   o ruly,
Mark Niemiec *

P.S. Below is a collision which forms a tub in six gens. The glider on the extreme left becomes the tub.

x = 11, y = 7, rule = Immigration 9.A$8.A$8.3A2$3B2.3A$2.B2.A$.B4.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 720 HEIGHT 528 ZOOM 48 ]]
(click above to open LifeViewer)
  • EN: representing Buckingham's
    Combine (Dave Buckingham,
    Mark Niemiec, and Peter
    Raynham) of Sarnia Ontario,
    Canada.

EN: in addition to Niemiec's tub forming collision, Raynham reports a four glider collision which forms a pentadecthlon in twelve generations and Buckingham reports a three glider collision which forms a heavyweight spaceship in seven generations(!). These initial arrangements are shown on the top of page 19. Also see the cover page of No. 10.

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x = 12, y = 7, rule = B3/S23 obo6bobo$b2o6b2o$bo8bo2$2b2o4b2o$3b2o2b2o$2bo6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 720 HEIGHT 528 ZOOM 48 ]]
(click above to open LifeViewer)
x = 7, y = 9, rule = B3/S23 6bo$b2ob2o$obo2b2o$2bo3$3b2o$2bobo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 720 HEIGHT 528 ZOOM 48 ]]
(click above to open LifeViewer)
Petrie replys:

The new collision results are quite impressive. . . . Regarding 4 blinkers + tub ⇒ (20-bit object), there ought to be a way to make that with gliders, since the blinker-forming collisions need not interfere with the central tub. . . . Cross-fertilization lives! Combining Raynham's new l.w.S.S. generator with my own collision discoveries, I have been able to synthesize Schick's Flying Machine from 11 gliders. See enclosed graph. . . . If someone can find a way to produce the clock as well as ([insert image here]), that would mean that all terminal forms smaller than size 8 can be constructed with gliders. (By "terminal" I mean any pattern of class I, II, III, or IV.)

"flying machine" synthesis

x = 24, y = 25, rule = B3/S23 5bo$3bobo$4b2o4$15bo$bo11b2o$2bo11b2o6bo$3o2b2o14bo$6b2o13b3o$5bo3$6b2o7bo$7b2o6bobo$6bo4bo3b2o$10b2o$10bobo4b3o$4bo12bo$4b2o12bo$3bobo$19bo$18b2o$18bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 720 HEIGHT 720 ZOOM 24 ]]
gen. 0
(click above to open LifeViewer)
x = 13, y = 11, rule = B3/S23 3b3o$3b2o$4b2o5bo$10bo$bobo6b3o$o6b2o$o6b2o$o2bo$3o5bo$7b2o$7bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 720 HEIGHT 720 ZOOM 24 ]]
gen. 16
(click above to open LifeViewer)
x = 20, y = 21, rule = B3/S23 5bo$6bo$4b3o2$6bo$6b2o$5bobo$10bobo$2bo7b2o$obo8bo5bo$b2o14bobo$5b2o10b2o$5b2o$12b2o$12b2o$4b2o$5b2o$4bo$14b2o$13b2o$15bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 720 HEIGHT 720 ZOOM 24 ]]
gen. 10
(click above to open LifeViewer)
x = 9, y = 12, rule = B3/S23 4bo$3bobo$2b2ob2o$2b2ob2o$3b3o$4bo2$bobobobo$o7bo$o7bo$o2bobo2bo$3o3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 720 HEIGHT 720 ZOOM 24 ]]
gen. 20
(click above to open LifeViewer)

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Dear Sir:

Figure 1 shows an infinitely extensible period 2 billiard table configuration which I have discovered.

The object shown in Figure 2a becomes that of Figure 2b in 8 generations. Note that the configuration in 2b contains that of 2a shifted 2 units south-east. Unfortunately, the extra 4 bits prevent the object from appearing again, and it becomes 4 blocks in generation 18. Perhaps someone could make a glider or puffer-train out of this. EN: speed = C/4!

I have experimented with 3 state life and have found that there are exactly 2 alliances for the clock and 3 for the toad. These are shown in Figures 3 and 4 respectively. I have tried to increase the number of states in the 3-4 version of life, but have been unable to invent any natural rules for it. In ordinary life, however, I have managed to invent some simple rules for a 5 state version, which I will now describe.

The states are the "off" state, denoted by a blank, and 4 "on" states denoted "1", "2", "3", and "4". As in the 3 state version, ordinary life rules are used to take care of deaths and survivals, and new rules are needed only for birth cells. If at least 2 of the 3 neighbors of a birth cell have the same state, the cell will have that state in the next generation. If the 3 states are all different, the cell will have the 4th "on" state. For example, if the neighbors of a birth cell have states 1, 3, and 4, then the cell will have state 2 in the next generation.

Note that if each "on" cell in one generation has state 1 or 2, then this will be true of all succeeding generations, and the rules become simply the 3 state ones. (Of course,there is nothing special about states 1 and 2; any pair of "on" states would work as well.)

I have examined all possible gliders in 5 state life and have found that there is exactly 1 alliance which is not actually a 3 state one. (By "exactly one", I mean except for permutations of the states.) As shown in Figure 5, this alliance has period 12 rather than 4.

There are at least 6 (there might be more, but I doubt it) 5 state alliances for the toad. These are shown in Figure 6. (To save space, I have shown only 1 phase of each.) Surprisingly, each of these alliances has period 4 rather than 2.

In Lifeline Number 5, you presented some oscillators discovered by "Buckinghams Combine". In Lifeline Number 6, page 3, you stated that object (e) has period 6 and object (g) has period 7. Actually, (e) has period 7 and (g) has period 6.

EN: thanks, its strange that no one else mentioned this.

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x = 29, y = 12, rule = LifeHistory 2A$A2.A2.2A2.2A4.13D$.3A2.2A2.2A4.D.D3.D3.D.D$16.D.D3.D3.D.D$.11A4.13D$A3.A3.A3.A$A3.A3.A3.A$.11A4.13D$16.D3.D3.D3.D$.3A2.2A2.2A4.D3.D3.D3.D$A2.A2.2A2.2A4.13D$2A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 744 HEIGHT 336 ZOOM 24 ]]
Figure 1
Infinitely extensible
billiard table configuration
(click above to open LifeViewer)
x = 11, y = 10, rule = Immigration 2.B5.B$B.A6.AB$.A.B3.BA$.B7.B3$2.A5.A$B.A6.2A$.B.A3.2B$.B7.B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 540 HEIGHT 288 ZOOM 24 ]]
Figure 3
Clock alliances
(click above to open LifeViewer)
x = 20, y = 9, rule = B3/S23 5b2o$6bo$3b3o11b3o$2bo13bo2bo$2bo13b3o$obo11b2o$2o11bobo$13bobo$13b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 540 HEIGHT 264 ZOOM 24 ]]
Figure 2
Possible glider
(click above to open LifeViewer)
x = 22, y = 10, rule = Immigration 10.A$.B2A4.B2.A7.3B$2BA5.B2.A6.A2B$9.B3$10.B9.B$.2BA4.B2.A6.B2.B$A2B5.A2.B6.A2.B$9.B9.B! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 576 HEIGHT 288 ZOOM 24 ]]
Figure 4
Toad alliances
(click above to open LifeViewer)
[There is not yet a rule in the LifeWiki emulating the 5-state one used in figures 5 and 6]
x = 16, y = 12, rule = DoubleB3S23 6.2A$4.6A.A$6.5A$7.B.A$8.BC$6.BC2.2A$A.2A2.2AC.4A$.6A3.6A$2.4A4.4A$.A.3A5.A$4.A6.A$4.A! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 540 HEIGHT 288 ZOOM 24 ]]
Figure 7
"tock" predecessor
(click above to open LifeViewer)
x = 3, y = 3, rule = B34/S34 2bo$b2o$3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 540 HEIGHT 540 ZOOM 24 ]]
Figure 8
3-4 oscillator
(click above to open LifeViewer)
x = 4, y = 3, rule = B34/S34 2bo$4o$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 540 HEIGHT 540 ZOOM 24 ]]
Figure 9
3-4 oscillator
(click above to open LifeViewer)
x = 5, y = 4, rule = B3/S23 b2o$o2bo$bo2bo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 540 HEIGHT 540 ZOOM 24 ]]
Figure 10
Still life
(click above to open LifeViewer)
x = 23, y = 9, rule = B3/S23 4bo$3bobo11bo$3bobo10bobo$b2o3b2o5bo2bobo2bo$o7bo3bobobobobobo$b2o3b2o5bo2bobo2bo$3bobo10bobo$3bobo11bo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 600 HEIGHT 264 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)

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On page 1 of Lifeline Number 6, you mentioned Conway's "Unique Father Problem". You illustrated this by asking if the "tick" was the only predecessor of the "tock". This example is somewhat inappropriate, since the clock is not stable, as required in the problem. However,to answer the clock problem, Figure 7 shows another predecessor to the "tock". (There must be something simpler than this.) EN: see page 24.

In Lifeline Number 9, page 4, you asked for the final censuses of all objects which are contained in a 3 by 3 square. These are given below. As noted in Lifeline Number 10, page 5, A10=D11 and E11=H10. In addition, we have the following equalities (,though the relevant objects are not in the same positions in the square). 

A2=D2     A3=B3     A4=D4     A5=D5     B1=C1=D1  B4=B5=C4  B6=B7     C2=C3     C6=D6
C8=C9     C10=D10   D8=D9     E8=G8     F8=H8

The final censuses are: 

dead         |A1
dies in 1    |A2,A3,A13,B1,B2,B3,C1,C2,C3,D1,D2,D3,D12
dies in 2    |A5,A6,A7,A11,B6,B7,B12,C5,C6,C7,C11,C12,D5,D6,D7,E3,H4
dies in 3    |B8,B11,E9,F13,G12
dies in 4    |E5,E6,E8,F5,F8,G8,G11,H8
dies in 5    |B10
dies in 6    |F2,F6
dies in 7    |H3
dies in 9    |H5
blinker      |A4,D4
block        |B9
block in 1   |B4,B5,C4
block in 2   |A9,A12,C10,D10
tub          |B13
tub in 1     |E13,G13
boat         |H12
boat in 1    |F11,G10
pond in 2    |G5
pond in 3    |H7
pond in 4    |D13
beehive in 1 |E4,G6
beehive in 2 |A10,D11
beehive in 3 |D8,D9
loaf in 1    |E2,F4
loaf in 2    |H9
loaf in 3    |G9,H2
loaf in 4    |E7,G1
ship         |H6

t.l. in 5*   |E1,H1
t.l. in 6    |H13
t.l. in 8    |F3,G2
t.l. in 9    |C8,C9
t.l. in 10   |E12,C13
t.l. in 11   |A8,F9
glider       |F10,H11
glider in 1  |E11,H10
R pentomino  |F12
R in 1       |E10
PI heptomino |G3
PI in 1      |F7

Also, G4=R in 1 and
F1 in 3=G7 in 5=PI in 3

*t.l.=traffic lights

I have experimented a little with 3-4 life and have found 2 periodic objects which have not been mentioned in Lifeline. They are shown, in 1 phase only, in Figures 8 and 9. Their periods are 12 and 6, respectively.

In Lifeline Number 10 page 8, you requested information on still lifes in which each bit has the same number of neighbors (, either 2 or 3). The ones with fewer than 9 bits are: the block, the tub, the beehive, the aircraft carrier, the loaf, the pond, and the object shown in Figure 10. Figure 11 shows 2 20-bit still lifes in which each bit has exactly 2 neighbors. I have not found any others with 20 or fewer bits, but some larger ones are shown in Figure 12. In these, each bit has exactly 2 neighbors. I have not found any still lifes except the block in which each bit has exactly 3 neighbors, and I conjecture that there are none. So far, however, I have only been able to prove that such an object must contain a block. EN: see page 14

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x = 41, y = 29, rule = B3/S23 6bo10bo3bo12bo$5bobo8bobobobo10bobo$5bobo7bo2bobo2bo6bo2bobo2bo$3b2o3b2o4bo3bobo3bo4bobobobobobo$2bo7bo4b3o3b3o5bobobobobobo$2bo7bo19bo2bobo2bo$3b2o3b2o5b3o3b3o9bobo$5bobo6bo3bobo3bo9bo$5bobo7bo2bobo2bo$6bo9bobobobo$17bo3bo3$4b2o15b2o$3bo2bo13bo2bo12bo$3bo2bo14b2o12bobo$b2o4b2o26bobo$o8bo9b6o8b2o3b2o$o8bo8bo6bo6bo7bo$b2o7b2o3bo2bo2b2o2bo2bo4b7o$3bo8bobobobobo2bobobobo$3bo8bobobobobo2bobobobo3b7o$4b2o4b2o3bo2bo2b2o2bo2bo3bo7bo$6bo2bo8bo6bo7b2o3b2o$6bo2bo9b6o10bobo$7b2o26bobo$21b2o13bo$20bo2bo$21b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF X 1/2 Y 1/2 WIDTH 984 HEIGHT 696 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)

Figure 12 Larger still lifes

EN: yes, but sadly out of date.

Does the Lifefile still exist? There has been no mention of it since Lifeline Number 4. If it does, please send me any information you can concerning collisions between 2 gliders, a glider and a block, or a glider and a blinker.

Sincerely,
Dean Hickerson
Dean Hickerson
P.O. Box 31
Yreka, California 96097

P.S.: Figure 1 3 contains some 5 state alliances for a lightweight spaceship. Spaceships a, b, c, d, e, and f have periods 4, 4, 4, 8, 8, 16, respectively. Only 1 phase of each is shown.

[insert viewer here]

Figure 13
Lightweight spaceship alliances

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Reader Reply . . . August, 1973

Robert T. Wainwright
LIFELINE Editor

Dear Sir,

Some assorted comments and discoveries:

A lightweight spaceship can also (#1 p4, #3 p24) convert gliders to R's, as shown.

x = 8, y = 7, rule = B3/S23 4b4o$3bo3bo$7bo$3bo2bo$bo$2o$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)

Hexlife (#2 p15) includes a period nine oscillator I call the "magician", with a three-cell grandfather:

[the Hexlife in LifeViewer doesn't seem to be the same one as is described here]

Petrie notes that the V.C age record (#4 p4) is set by "Pike", which, from a glider collision with a ship or a boat, takes 997 generations to leave 9 blinkers, 7 blocks, 2 boats, 9 beehives, and a toad.

x = 7, y = 4, rule = DoubleB3S23 AC$C.C2.2C$.2C.2C$6.C! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)

A glider-toad collision (#4 p6) reflects a glider 90° but doesn't work for glider streams. These three collisions each reflect the solid glider down at 90°, and likewise destroy the target, but each target is unstable and is easy to recreate. This is especially useful in glider logic.

x = 9, y = 9, rule = B3/S23Super M$.2M$2M$6.M$6.M.M$6.2M$3.2O$2.O.O$4.O! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)
x = 9, y = 4, rule = B3/S23Super 6.2M$.O3.4M$.2O.2M.2M$O.O2.2M! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)
x = 11, y = 8, rule = B3/S23Super 4.M$5.M2.2M$3.3M.M2.M$8.2M2$3O$2.O$.O! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)

[insert viewer here]

No five-cell tangoes yield twin blocks, but the three at left yield ponds (#4 p10).

x = 15, y = 3, rule = B3/S23 8bo5bo$3o2b3o4b2o$bobo3bo3bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)

At right is a clock father (#6 p1).

x = 6, y = 4, rule = B3/S23 bo$2b2obo$ob2o$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 0 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)

Gibson's application of the occult was not to blame for his faulty boxing forecast (#7 p3). The computer shows Frazier's octomino active 14 re, while Foreman's heptomino is active 18 re. Each yields a beehive, which presumably symbolizes the boxing crown.

Although the variety of mixed still lifes (i.e. with cells with two and three neighbors, #10 p8) is tremendous, only the boat and ship can be called common, hence the supposedly strange results.

Petrie suggests the "Pearl Harbor" fuse, at left, is the only fuse we know to occur "naturally". It is found in a collision of a glider with a light spaceship.

x = 5, y = 5, rule = B3/S23 bo$2o$2b2o$2bobo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 1/2 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)

Here is a new V.F fuse, the "infinity bomb". The baker goes out at c, but its loafs burn at 4/5 c with period 40n. The result thru 530 generations is cloudy. The ignition is also messy.

x = 6, y = 5, rule = B3/S23 bo$obo$o2bo$4bo$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOFIT OFF THUMBSIZE 4 X 0 Y 1/2 WIDTH 560 HEIGHT 240 ZOOM 24 ]]
Figure 11
(click above to open LifeViewer)

My long-awaited article follows...

Sincerely[insert image here]
V. Everett Boyer
V. Everett Boyer

Lifequote submitted by the Editor: 

'Whatever you have received more than others-in health, in talents
in ability, in success, in a pleasant childhood, in harmonious
conditions of home life—all this you must not take to yourself as
a matter of course.  In gratitude for your good fortune, you must
render in return some sacrifice of your own life for another life.'

                                                 -Albert Schweitzer

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