Small predecessors of common objects and evolutionary sequences

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Small predecessors of common objects and evolutionary sequences

Post by MathAndCode » November 1st, 2020, 8:05 pm

  • Block
    • Fewest cells required: 3 (2o$o)
    • Edgeshootable predecessors: b2o$o2bo, 2b2o$bo$o, 2bo$bobo$o
  • Blinker
    • Fewest cells required: 3 (3o) (4 for a predecessor (o$b2o2$o, bo$obo2$o, bo$obo2$bo, o$obo2$o, o$obo2$bo, o$obo2$2bo))
    • Edgeshootable predecessors: 3o
    • Note: A traffic light makes four blinkers.
  • Beehive
    • Fewest cells required: 4 (b3o2$o, 4o, 2bo$2o2$o, 2bo$2o2$bo, o$b2o$3bo, o$2o2$o, bo$2o2$o)
    • Edgeshootable predecessors: b3o2$o, b2o$o2b2o, 2bo$2ob2o
    • Note: A honey farm makes four beehives.
  • Glider
    • Fewest cells required: 5 (3o$o$2bo, 3o$o$3bo, obo$bobo$bo, 2o$2b2o$bo, 3o$3bo$o)
    • Edgeshootable predecessors: 3o$3bo$o, 2bo$b3o$o$o, bo$obo$3bo$2o
  • Loaf
    • Fewest cells required: 5 (bo$o$bobo$2bo, bo$o$bo$2b2o, o$o$bo$2b2o, 3o2$3b2o, 3o$2bo$3bo, 3o$2bo$4bo, o$b2o$2bo$3bo, o2$b2o$2bo$3bo, o2$b2o$2bo$4bo, b4o$o, 2b3o$bo$o, 2bo$b3o$o, 2bo$b3o2$o, o$b2o$3bo$4bo, o$obo2$2b2o, b2o$2o2$o, b2o$2o2$bo, o$3o2$3bo, 2b3o$o$bo, bobo$2o2$o, bo$2obo2$o, bo$2obo2$2bo)
    • Edgeshootable predecessors: bo$o$bobo$2bo, bo$o$bo$2b2o, o$o$bo$2b2o, 3o$o$o, b4o$o, 2b3o$bo$o
  • Boat
    • Fewest cells required: 5 (bo$obo$bo$3bo, bobo$obo$bo, 2o$o$b2o, bo2$4o, o2$3o$3bo, o2$b2o$3b2o, o2$b2obo$3bo)
    • Edgeshootable predecessors: none that I know of
  • Ship
    • Fewest cells required: 6 (2o$bo$2b2o2$4bo, 2o$o$2bo2$3bo, 2o$obo$bo2$3bo, o$bo$o$b2o2$3bo, bo$bo$o$b2o2$3bo, o$bo$obo$3bo, o$2bo$bobo$4bo, obo$bobo$2bo$3bo, obo$bobo$2bobo, bo$ob2o$bo$bo, 2o$o2bo$2bo$bo)
    • Edgeshootable predecessors: 2b3o$bo$o$o$o
    • Note: An R-sequence only requires five cells.
  • Pond
    • Fewest cells required: 4 (bo$2o$2bo)
    • Edgeshootable predecessors: none that I know of
  • Tub
    • Fewest cells required: 4 (bo$obo$bo) (5 for a predecessor (bo2$3o2$bo, 2o$2bo$2o$o, b2o$o$obo)
    • Edgeshootable predecessors: 2o$2bo$2o$o
  • Long boat
    • Fewest cells required: 6 (2b3o$bo$o$bo, 2b3o$bo$o$o)
    • Edgeshootable predecessors: 2b3o$bo$o$bo, 2b3o$bo$o$o
  • Toad
    • Fewest cells required: 6 (bo$2o$2bo$3b2o, bo$2o$2bobo$3bo, o$2o$2b2o$4bo, 3o$3bo2$b2o, o2$b2o$b2o2$3bo, obo2$bo$b2o$2bo, obo2$bo$b2o2$2bo, 2b2o2$bo$b2o2$o, bobo2$bo$b2o2$o, o$2bo$bo$bo$2bo$3bo)
    • Edgeshootable predecessors: none that I know of
  • Beacon
    • Fewest cells required: 6 (bo$2o$2b2o$2bo, o$o$bo$2bo$3b2o, o$o$bo$2bobo$3bo, bo$o$bo$2bobo$3bo)
    • Edgeshootable predecessors: o$o$bo$2bo$3b2o, o$o$bo$2bobo$3bo, bo$o$bo$2bobo$3bo
  • Barge
    • Fewest cells required: 6 (3o$3bo$4b2o, o3o$3bobo$4bo, o$b2o$b2o$3bo, 2o$2bo$bo$2b2o)
    • Edgeshootable predecessors: 3o$3bo$4b2o
  • Mango
    • Fewest cells required: 7 (bo$obo$bo$2b2o2$bo, 2o$2bo$bo$2b2o2$bo)
    • Edgeshootable predecessors: none that I know of
  • Fishhook
    • Fewest cells required: 7 (2o$bo$2b2o$4bo$4bo, 2o$bo$bobo$2bobo, 2o$bo$bob2o$2bo)
    • Edgeshootable predecessors: 2o$2o$2b2o$4bo
  • Lightweight spaceship
    • Fewest cells required: 8 (4o$o3bo$o$bo, 3b4o$2bo4bo$bo$o)
    • Edgeshootable predecessors: 4o$o3bo$o$bo, 3b4o$2bo4bo$bo$o
  • Paperclip
    • Fewest cells required: 7 (o$2o2$b4o, bo$2o2$b4o)
    • Edgeshootable predecessors: none that I know of
  • Middleweight spaceship
    • Fewest cells required: 9 (5o$o4bo$o$bo, 3b5o$2bo5bo$bo$o, 2o2b2o$bob2o$o4bo, b2o2b2o$obob2o$6bo, b2o2b2o$2bob2o$o5bo, 2bo$bo$o2b2o$o2bo$2o, 2bo2$2ob2o$o2bo$o$bo)
    • Edgeshootable predecessors: 5o$o4bo$o$bo, 3b5o$2bo5bo$bo$o
  • Heavyweight spaceship
    • Fewest cells required: 10 (6o$o5bo$o$bo, 3b6o$2bo6bo$bo$o)
    • Edgeshootable predecessors: 6o$o5bo$o$bo, 3b6o$2bo6bo$bo$o
  • Very long ship
    • Fewest cells required: 9 (3b2o$4bo$b2o$o3bo$bo$bo, 4bo$3bo$4bo$b2obo$o$bo$bo, 3bo$3bo$4bo$b2obo$o$bo$bo, 3b2o$4bo$b2o$o3bo$bo$o, 4bo$3bo$4bo$b2obo$o$bo$o, 3bo$3bo$4bo$b2obo$o$bo$o, 3b2o$4bo$b2o$o3bo$2o, 4bo$3bo$4bo$b2obo$o$2o, 3bo$3bo$4bo$b2obo$o$2o)
    • Edgeshootable predecessors: none that I know of
  • Dead spark coil
    • Fewest cells required: 10 (o2bo$3o6$3o$o2bo, bo2bo$b3o6$b3o$o2bo, bo2$3o$bo4$bo$3o2$bo)
    • Edgeshootable predecessors: none that I know of
  • Traffic light
    • Fewest cells required: 4 (3o2$bo)
    • Edgeshootable predecessors: b3o$o3bo, b3o$o3bo$o3bo, 5o, b5o$o5bo
  • Honey farm
    • Fewest cells required: 6 (2o2$o2$b2o$bo, o$bo$o2$b2o$bo, bo$o$o2$b2o$bo, bo$bo$o2$b2o$bo, 2o2$o2$b2o$2bo, o$bo$o2$b2o$2bo, bo$o$o2$b2o$2bo, bo$bo$o2$b2o$2bo, bo$b2o2$2o$o, bo$b2o2$2o$bo, 2o$o2$bo$b2o, 2o$bo2$bo$b2o, 2o$o2$2bo$b2o, 3o2$3o$o, 3o2$3o$bo, 3o3$o$2o, 3o3$bo$2o, 3o2$bo$2o, 2ob3o$o, 2ob3o$bo, o2b3o$2o, bob3o$2o, 2bo$b2o$o2bo$o, o$obo2$2b2o$4bo, bo$obo2$2b2o$4bo, 2bo$obo2$2b2o$4bo, 3o2$3b2o$2bo, o$3o$3b2o, 2b2o$bo2b2o$o, 3bo$b2ob2o$o, 2b2o$bo2b2o, 3b2o$b2o2bo$o, 4bo$o$b2obo$bo, 4bo$o3bo$b2o$bo)
    • Edgeshootable predecessors: 7o, 3bo$b2ob2o2$o5bo, 2b2o$bo2b2o$o, 3bo$b2ob2o$o, 3b2o$b2o2bo$o
  • Blockade
    • Fewest cells required: 6 (bo2$2ob2o2$2bo, 2b3o$2o2$o, 2b3o$2o2$bo, 2bo$3b2o$2o$2bo, bo$2b2o2$2o$2bo, 2b2o$2obo2$o, o$3o$3bo$4bo, b2o$o2bo$3b2o, b3o$2o$o)
    • Edgeshootable predecessors: b3o$o3bo$o$bo, b4o$o4bo$6bo
  • Fleet
    • Fewest cells required: 7 (3o$o2bo$o$bo, b3o$bo2bo$o$2bo, 3bo$b2o$bo2bo$o$2bo, 2o$2o$2bo$3bo$4bo, o$o$b2o2$3bo$3b2o)
    • Edgeshootable predecessors: 3o$o2bo$o$bo
    • Note: A blonk-tie only requires six cells.
  • Bakery
    • Fewest cells required: 7 (b3o2$3o$bo, b3o2$2obo$bo, 2b3o2$ob2o$2bo, o$2o2$o$b2o2$3bo, bo$2o2$o$b2o2$3bo)
    • Edgeshootable predecessors: 2bo$b3o$o3bo$o$bo
  • Beethoven
    • Fewest cells required: 8 (7bo$3o4b2o$bo4bo, bo5bo$2o5b2o$bo4bo, bo5bo$3o4b2o$6bo, bo5bo$b2o4b2o$bo4bo, 3o3bo$bo5b2o$7bo, bo$2o4bo$bo5b2o$7bo, bo$3o3bo$7b2o$7bo, o$2o3bo$o5b2o$6bo, 3o4bo$bo3b2o$6bo, bo$2o5bo$bo3b2o$6bo, bo$3o4bo$5b2o$6bo, o$2o4bo$o3b2o$5bo, 6bo$3o2b2o$bo5bo, bo4bo$2o3b2o$bo5bo, bo4bo$3o2b2o$7bo, o4bo$2o2b2o$o5bo, bo5bo$bo5b2o$obo3bo, obo4bo$bo5b2o$bo4bo, bo$bo4bo$obo4b2o$7bo, obo$bo4bo$bo5b2o$7bo, bo$bo5bo$obo2b2o$6bo, obo$bo5bo$bo3b2o$6bo, bo4bo$bo3b2o$obo4bo, obo3bo$bo3b2o$bo5bo, 7bo$3o4b2o$6bo$bo, bo$7bo$3o4b2o$6bo, 3o3bo$7b2o$bo5bo, bo2$3o3bo$7b2o$7bo, 3o4bo$5b2o$bo4bo, bo2$3o4bo$5b2o$6bo, 6bo$3o2b2o$7bo$bo, bo$6bo$3o2b2o$7bo)
    • Edgeshootable predecessors: b3o$o3bo$o3bo$o3bo
    • Note: 5bo$2o$bo2b3o, 5bo$bo$2o2b3o, 5bo$o$2o2b3o, 5bo$2o$o3b3o, 5bo2$2o2b3o$o, 5bo2$o3b3o$2o, 5bo2$bo2b3o$2o, 5bo2$2o2b3o$bo, 2o2bobo$bo3bo$5bo, bo2bobo$2o3bo$5bo, o3bobo$2o3bo$5bo, 2o2bobo$o4bo$5bo, 4bobo$2o3bo$o4bo, 4bobo$o4bo$2o3bo, 4bobo$bo3bo$2o3bo, 4bobo$2o3bo$bo3bo, 2o3bo$bo2b3o, bo3bo$2o2b3o, o4bo$2o2b3o, 2o3bo$o3b3o, 5bo$2o2b3o$o, 5bo$o3b3o$2o, 5bo$bo2b3o$2o, and 5bo$2o2b3o$bo only require seven cells.
    • Note: It often results when one side of a traffic light predecessor hits something.
  • R sequence
    • Fewest cells required: 5 (o$3o2$bo, 3o$3bo$3bo, 3bo$b2o$o$bo, o$3bo$2o$2bo, 3bo$o$b2o$o, o3bo$2b2o$bo, 2bo$3o$4bo)
    • Edgeshootable predecessors: 3o$3bo$3bo, b3o$o3bo$5bo, 3o$o2bo$bo, o$b2o$3b4o
  • B sequence
    • Fewest cells required: 6 (3o$o2bo$o, b3o$bo2bo$o, 2b3o$2bo2bo$o, 2bo$bobo, 5o2$o, bo$bob3o$o, 2bo$o$bo2bo$2bo$3bo, o$b2o$o2bo$4bo)
    • Edgeshootable predecessors: 3o$o2bo$o, 2bo$bobo, 2bo$bobo$o3bo$bo, bo$2b2o$o2bo$4bo, bo$2b2o$o2bo$5bo
    • Note: An R sequence only requires five cells, although it will eventually distrub the B sequence's first block unless something disturbs the R sequence first.
  • ∏ sequence
    • Fewest cells required: 5 (3o$o2bo, bo$3o2$bo)
    • Edgeshootable predecessors: 3o$o2bo
  • Century sequence
    • Fewest cells required: 6 (b3o$o$o$bo, 2obo$3b2o$o, 2ob2o$3bo$o, bob2o$o2bo$o, bobo$o2b2o$o, bo2bo$bob2o$o, bob2o$bo2bo$o, o2b2o$bobo$o, o2bo$bob2o$o, 2bo$bobo$o3bo$o, 2o$o$b2o$3bo, 2b3o$2o$bo, b3o$bo$o$2bo, 2b3o2$bo$2o)
    • Edgeshootable predecessors: b3o$o$o$bo, b3o$o3bo$o4bo, 2bo$bobo$o3bo$o, o2b3o$2bo$bo
  • Queen bee
    • Fewest cells required: 7 (o$b2obo$bobobo)
    • Edgeshootable predecessors: 2b3o$bo3bo$o5bo$o5bo, 2b3o$bo3bo$o5bo$bo3bo
    • Note: It often results when one side of a honey farm predecessor hits something.
  • Wing sequence
    • Fewest cells required: 6 (3o$3bo$4bo$5bo, 3bo$b2o$o$o$bo, o2$2o$3bo$2b2o, bo2$2o$3bo$2b2o, 2o$bob2o$2bo, , 2o$bobo$2bobo, 2o$o$2b2o$4bo)
    • Edgeshootable predecessors: 3o$3bo$4bo$5bo, 3bo$b2o$o$o$bo
  • Two-glider octomino
    • Fewest cells required: 6 (b5o$o, 2o$bo$3b2o$2bo)
    • Edgeshootable predecessors: b5o$o
  • Herschel
    • Fewest cells required: 6 (o$obo$3b2o$2bo, o$b2o$3b2o$2bo)
    • Edgeshootable predecessors: none that I know of
    • Note: An R sequence only requires five cells.
  • Dove sequence
    • Fewest cells required: 6 (2b3o$bo$bo$o)
    • Edgeshootable predecessors: 2b3o$bo$bo$o
  • I sequence
    • Fewest cells required: 6 (2b2o$2obo2$bo, o$2o$b2o2$3bo, o$bo$2bo$3b2o$5bo, o$b2o$3bo$4b2o)
    • Edgeshootable predecessors: 5bo$o3bo$ob2o$bo, o$b2o$3bo$4b2o
  • Thunderbird sequence
    • Fewest cells required: 6 (bo$o2b3o$bo)
    • Edgeshootable predecessors: none that I know of
  • Teardrop
    • Fewest cells required: 6 (2b3o$o$o$o, 3o$o$bo$bo, 2obo$obo$2bo, ob3o$o$3bo)
    • Edgeshootable predecessors: 2b3o$o$o$o
  • Butterfly
    • Fewest cells required: 6 (b3o$o$o$o)
    • Edgeshootable predecessors: none that I know of
  • E sequence
    • Fewest cells required: 6 (3bo$2b2o2$bo$2o, 2bo$2b2o2$bo$2o)
    • Edgeshootable predecessors: none that I know of
  • F sequence
    • Fewest cells required: 6 (bo$bo$o$2bo$2bo$2bo, o$bo$o$2bo$2bo$2bo, bo$o$o$2bo$2bo$2bo)
    • Edgeshootable predecessors: none that I know of
  • Thompson's methuselah
    • Fewest cells required: 6 (2b3o$bo$2o)
    • Edgeshootable predecessors: none that I know of
  • Blonk-tie
    • Fewest cells required: 6 (bo$2obo$3bo$4bo, 2o$bo2$bobo$bo, 2o$bo2$bobo$2bo, 2o$bo2$bobo$3bo)
    • Edgeshootable predecessors: none that I know of
  • Phi spark
    • Fewest cells required: 6 (4o$4bo$5bo, b3o$o3b2o, b3obo$o3bo, o2b3o$b2o)
    • Edgeshootable predecessors: 4o$4bo$5bo, 2b3o$bo3bo$o5bo, b3o$o3b2o, 2ob3o$2bo
    • Note: An R sequence only requires five cells.
  • P spark
    • Fewest cells required: 4 (b3o$o, 2o$bo$2bo, o$2o2$2bo, bo$2o2$2bo)
    • Edgeshootable predecessors: b3o$o, b2o$o2bo$4bo

Code: Select all

5bo$2o$bo2b3o19$5bo$bo$2o2b3o19$5bo$o$2o2b3o19$5bo$2o$o3b3o19$5bo2$2o2b3o$o19$5bo2$o3b3o$2o19$5bo2$bo2b3o$2o19$5bo2$2o2b3o$bo
Last edited by MathAndCode on March 8th, 2021, 12:45 am, edited 50 times in total.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
Entity Valkyrie 2
Posts: 927
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
Contact:

Re: Predecessors of common evolutionary sequences

Post by Entity Valkyrie 2 » November 2nd, 2020, 2:08 am

deleted message
Last edited by Entity Valkyrie 2 on November 2nd, 2020, 2:10 am, edited 1 time in total.
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

User avatar
Entity Valkyrie 2
Posts: 927
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
Contact:

Re: Predecessors of common evolutionary sequences

Post by Entity Valkyrie 2 » November 2nd, 2020, 2:10 am

MathAndCode wrote:
November 1st, 2020, 8:05 pm
Beethoven
  • Fewest cells required: 9 (b3o$o3bo$o3bo$o3bo)
Found an 8-cell Beethoven predecessor:

Code: Select all

x = 9, y = 3, rule = B3/S23
7bo$3o4b2o$bo4bo!
EDIT: 8, 9, and 10 cell edgeshootable predecessors of the standard spaceships:

Code: Select all

x = 35, y = 4, rule = B3/S23
3b4o8b5o8b6o$2bo4bo6bo5bo6bo6bo$bo11bo12bo$o11bo12bo!
Also:
bo$3o$2o2o is not a predecessor of the century.
bo$3o is not a predecessor of the P spark.
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common evolutionary sequences

Post by MathAndCode » November 2nd, 2020, 12:52 pm

Entity Valkyrie 2 wrote:
November 2nd, 2020, 2:10 am
Found an 8-cell Beethoven predecessor:

Code: Select all

x = 9, y = 3, rule = B3/S23
7bo$3o4b2o$bo4bo!
Thank you. I have put it in.
Entity Valkyrie 2 wrote:
November 2nd, 2020, 2:10 am
8, 9, and 10 cell edgeshootable predecessors of the standard spaceships:

Code: Select all

x = 35, y = 4, rule = B3/S23
3b4o8b5o8b6o$2bo4bo6bo5bo6bo6bo$bo11bo12bo$o11bo12bo!
Thank you again. I have also put those in.
Entity Valkyrie 2 wrote:
November 2nd, 2020, 2:10 am
bo$3o$2o2o is not a predecessor of the century.
bo$3o is not a predecessor of the P spark.
Whoops. They should be bo$3o$2b2o and b3o$o. I've fixed them now. Thank you for alerting me to the problem.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » November 15th, 2020, 10:04 pm

I would appreciate help finding all of the minimal predecessors. I especially suspect that I'm missing minimal predecessors for the honey farm, blockade, century sequence, and wing sequence.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
Entity Valkyrie 2
Posts: 927
Joined: February 26th, 2019, 7:13 pm
Location: Hijuatl, Zumaland
Contact:

Re: Predecessors of common objects and evolutionary sequences

Post by Entity Valkyrie 2 » November 26th, 2020, 4:54 am

MathAndCode wrote:
November 15th, 2020, 10:04 pm
I would appreciate help finding all of the minimal predecessors. I especially suspect that I'm missing minimal predecessors for the honey farm, blockade, century sequence, and wing sequence.
All six cells.

Code: Select all

x = 36, y = 4, rule = B3/S23
b2o8bo10bo9b2o$2obo7b2o8b3o9bobo$2bo9b2o9b2o9b2o$13bo!
Bx222 IS MY WORST ENEMY.

Please click here for my own pages.

My recent rules:
B3-kq4ej5i6ckn7e/S2-i34q6a7
B3-kq4ej5y6c/S2-i34q5e
Move the Box

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » November 26th, 2020, 1:58 pm

Entity Valkyrie 2 wrote:
November 26th, 2020, 4:54 am
All six cells.
I have six-cell predecessors, but I do not think that I have all of the six-cell predecessors. That is where I want help.



Edit:

Code: Select all

x = 11, y = 12, rule = B3/S23
8bobo$8b3o$9b2o3$3bo$2b3o$b2obo$2o$b2obo$2b3o$3bo!
That is a ∏→B partial with necessary information transmission speed 18c/20, which makes it very promising. Please post it here.



Another edit: It also has a ∏→∏ with necessary information transmission speed 9c/10.

Code: Select all

x = 13, y = 5, rule = B3/S23
2b3o$bo2bo4b2o$o9bobo$bo2bo3bobo$2b3o3bo!
In addition, it edgeshoots a ∏ with wonderful clearance, enough to fit into ∏F39C.

Code: Select all

x = 62, y = 27, rule = LifeHistory
54.3D$54.2BD$53.DB2D$53.2D3B$52.6B$52.5B$52.6B$47.A4.6B$47.3A2.7B$50.A.7B$49.A.7B$49.2A.6B$52.7B$52.7B$52.6B2.B$52.B3D2B.B2A$52.3BD4B2A$52.B3D2B.2B$52.6B$52.7B$52.7B$52.6B$53.6B$2.2A9.A10.A8.2A18.7B$A.A9.3A8.2A7.A.2A15.A8B$2A9.2A9.2A9.A16.A.A2.4B$22.A27.2A5.2B!
#C [[ PASTEMODE COPY PASTET 91 PASTE B! 48 14 ]]
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
JP21
Posts: 1366
Joined: October 26th, 2019, 5:39 am
Location: PH

Re: Predecessors of common objects and evolutionary sequences

Post by JP21 » December 17th, 2020, 2:02 am

Not worth adding these:

Code: Select all

x = 15, y = 6, rule = B3/S23
12bo$2bo$bo8b2ob2o$o2b2o5bo2bo$o2bo6bo$2o9bo!

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » December 17th, 2020, 11:25 am

JP21 wrote:
December 17th, 2020, 2:02 am
Not worth adding these:

Code: Select all

x = 15, y = 6, rule = B3/S23
12bo$2bo$bo8b2ob2o$o2b2o5bo2bo$o2bo6bo$2o9bo!
They have minimal size and are not already present, so they are worth adding. Thank you for providing them, and please post any more that you find.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
ColorfulGalaxy
Posts: 391
Joined: July 16th, 2020, 3:37 am
Location: China
Contact:

Re: Predecessors of common objects and evolutionary sequences

Post by ColorfulGalaxy » January 21st, 2021, 1:13 am

Tub:
xp0_525
xp0_259
xp0_4l4

Code: Select all

x = 9, y = 9, rule = LifeColorful
6E.2B$6E.2B$7.2B$2D5.2B$2D5.2B$2D5.2B$2D$2D.6C$2D.6C!
List of helpful topics

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » January 21st, 2021, 10:58 am

ColorfulGalaxy wrote:
January 21st, 2021, 1:13 am
Tub:
xp0_525
xp0_259
xp0_4l4
Thank you. I have added the tub to the list.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
ColorfulGalaxy
Posts: 391
Joined: July 16th, 2020, 3:37 am
Location: China
Contact:

Re: Predecessors of common objects and evolutionary sequences

Post by ColorfulGalaxy » January 23rd, 2021, 4:10 am

MathAndCode wrote:
January 21st, 2021, 10:58 am
ColorfulGalaxy wrote:
January 21st, 2021, 1:13 am
Tub:
xp0_525
xp0_259
xp0_4l4
Thank you. I have added the tub to the list.
Wait, how could you read apgcode?

The two most common loaf parents: xp0_137 xp0_357
Sorry, I'm not sure which one is the more common.

Code: Select all

x = 9, y = 9, rule = LifeColorful
6E.2B$6E.2B$7.2B$2D5.2B$2D5.2B$2D5.2B$2D$2D.6C$2D.6C!
List of helpful topics

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » January 23rd, 2021, 11:53 am

ColorfulGalaxy wrote:
January 23rd, 2021, 4:10 am
The two most common loaf parents: xp0_137 xp0_357
I only include predecessors of minimal size, and I don't include predecessors that are descendants of other minimally-sized predecessors.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

hotdogPi
Posts: 88
Joined: August 12th, 2020, 8:22 pm

Re: Predecessors of common objects and evolutionary sequences

Post by hotdogPi » January 25th, 2021, 11:22 am

MathAndCode wrote:
November 1st, 2020, 8:05 pm
  • Thompson's methuselah
    • Fewest cells required: 6 (b3o$2bo$2o$2o)
    • Edgeshootable predecessors: none that I kow of
That pattern has 8 cells.

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » January 25th, 2021, 11:37 am

hotdogPi wrote:
January 25th, 2021, 11:22 am
That pattern has 8 cells.
Thank you for alerting me. I have fixed it.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
ColorfulGalaxy
Posts: 391
Joined: July 16th, 2020, 3:37 am
Location: China
Contact:

Re: Predecessors of common objects and evolutionary sequences

Post by ColorfulGalaxy » January 26th, 2021, 12:25 am

MathAndCode wrote:
January 25th, 2021, 11:37 am
hotdogPi wrote:
January 25th, 2021, 11:22 am
That pattern has 8 cells.
Thank you for alerting me. I have fixed it.
Another tub: xp0_345
Loaf: xp0_12s

Also, what is a blonk-tie?
MathAndCode wrote:
January 25th, 2021, 11:37 am
none that I kow of
What does "kow" mean?

Code: Select all

x = 9, y = 9, rule = LifeColorful
6E.2B$6E.2B$7.2B$2D5.2B$2D5.2B$2D5.2B$2D$2D.6C$2D.6C!
List of helpful topics

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » January 26th, 2021, 10:53 am

ColorfulGalaxy wrote:
January 26th, 2021, 12:25 am
Another tub: xp0_345
Loaf: xp0_12s
I already have those.
ColorfulGalaxy wrote:
January 26th, 2021, 12:25 am
Also, what is a blonk-tie?
It's a methuselah.
ColorfulGalaxy wrote:
January 26th, 2021, 12:25 am
What does "kow" mean?
It was a typo. You're sounding like the Trump-impersonating accounts, which makes sense.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
ColorfulGalaxy
Posts: 391
Joined: July 16th, 2020, 3:37 am
Location: China
Contact:

Re: Predecessors of common objects and evolutionary sequences

Post by ColorfulGalaxy » February 9th, 2021, 9:55 pm

I found a six-bit glider parent during my polyomino census. (see my wiki article)

Code: Select all

x = 20, y = 4, rule = B3/S23
bo6bo6bo$2bo5bobo4b3o$o2bo6b2o5b3o$obo8bo!
Also, you might have missed the pulsar.

Code: Select all

x = 23, y = 3, rule = B3/S23
3bo15bo$bo3bo10bo5bo$obobobo10b2ob2o!

Code: Select all

x = 9, y = 9, rule = LifeColorful
6E.2B$6E.2B$7.2B$2D5.2B$2D5.2B$2D5.2B$2D$2D.6C$2D.6C!
List of helpful topics

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » February 9th, 2021, 10:20 pm

ColorfulGalaxy wrote:
February 9th, 2021, 9:55 pm
I found a six-bit glider parent during my polyomino census. (see my wiki article)
I only include predecessors of minimal size.
ColorfulGalaxy wrote:
February 9th, 2021, 9:55 pm
Also, you might have missed the pulsar.
I didn't miss the pulsar. I chose to not cover it yet because I want to cover more common objects first. Also, there are many more seven-cell pulsar predecessors.

Code: Select all

x = 59, y = 46, rule = B3/S23
52bo$51bo2b2o$49b2o2bo9$29bo3bo$29bobobo$29bo3bo2$3bo$obo3bo$bo2b2o$55b
o$54bo3bo$52b2o2b2o6$19bo$16bobo2bo17bo$17bo2bobo13bobo2b2o$37bo2bo9$
55bo$53b2ob2o$52bo5bo2$30bo$14bo12bo4bo$11b2o3bo11b2obobo$13bobobo!
I doubt that those are all of them.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
ColorfulGalaxy
Posts: 391
Joined: July 16th, 2020, 3:37 am
Location: China
Contact:

Re: Predecessors of common objects and evolutionary sequences

Post by ColorfulGalaxy » February 9th, 2021, 10:43 pm

MathAndCode wrote:
February 9th, 2021, 10:20 pm
ColorfulGalaxy wrote:
February 9th, 2021, 9:55 pm
I found a six-bit glider parent during my polyomino census. (see my wiki article)
I only include predecessors of minimal size.
ColorfulGalaxy wrote:
February 9th, 2021, 9:55 pm
Also, you might have missed the pulsar.
I didn't miss the pulsar. I chose to not cover it yet because I want to cover more common objects first. Also, there are many more seven-cell pulsar predecessors.

Code: Select all

x = 59, y = 46, rule = B3/S23
52bo$51bo2b2o$49b2o2bo9$29bo3bo$29bobobo$29bo3bo2$3bo$obo3bo$bo2b2o$55b
o$54bo3bo$52b2o2b2o6$19bo$16bobo2bo17bo$17bo2bobo13bobo2b2o$37bo2bo9$
55bo$53b2ob2o$52bo5bo2$30bo$14bo12bo4bo$11b2o3bo11b2obobo$13bobobo!
I doubt that those are all of them.
That six-bit one could be edgeshootable.

Code: Select all

x = 9, y = 9, rule = LifeColorful
6E.2B$6E.2B$7.2B$2D5.2B$2D5.2B$2D5.2B$2D$2D.6C$2D.6C!
List of helpful topics

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » February 9th, 2021, 11:02 pm

ColorfulGalaxy wrote:
February 9th, 2021, 10:43 pm
That six-bit one could be edgeshootable.
Thank you. If you had told me that you posted it specifically because it's edgeshootable, I would have added it right away.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
otismo
Posts: 629
Joined: August 18th, 2010, 1:41 pm
Location: Florida
Contact:

Re: Predecessors of common objects and evolutionary sequences

Post by otismo » February 23rd, 2021, 11:11 am

MathAndCode wrote:
February 9th, 2021, 11:02 pm
ColorfulGalaxy wrote:
February 9th, 2021, 10:43 pm
That six-bit one could be edgeshootable.
Thank you. If you had told me that you posted it specifically because it's edgeshootable, I would have added it right away.
WHERE ?

Where is the six-bit Pulsar-Predecessor ?

( Pulsars fascinate me )

Thank You !

Cheers !
In the Game of Life there are no winners there are no losers there are only SURVIVORS.
.....**
...****
.******
*( ͡° ͜ʖ ͡°)*

Code: Select all

#CXRLE Pos=0,0
x = 26, y = 34, rule = B3/S23
23bo$23bobo$23b2o9$2b3o2$o5bo$o5bo$o5bo2$2b3o5b2o$10b2o3$2b2o$2b2o10$
15b2o$15b2o!

MathAndCode
Posts: 3818
Joined: August 31st, 2020, 5:58 pm

Re: Predecessors of common objects and evolutionary sequences

Post by MathAndCode » February 23rd, 2021, 11:12 am

otismo wrote:
February 23rd, 2021, 11:11 am
Where is the six-bit Pulsar-Predecessor ?
I'm pretty sure that ColorfulGalaxy was talking about a six-bit glider predecessor.
I have reduced the cost of universal construction to seventeen gliders and probably to sixteen. All that remains is for the universal operations to be found.

User avatar
otismo
Posts: 629
Joined: August 18th, 2010, 1:41 pm
Location: Florida
Contact:

Re: Predecessors of common objects and evolutionary sequences

Post by otismo » February 23rd, 2021, 4:29 pm

MathAndCode wrote:
February 23rd, 2021, 11:12 am
otismo wrote:
February 23rd, 2021, 11:11 am
Where is the six-bit Pulsar-Predecessor ?
I'm pretty sure that ColorfulGalaxy was talking about a six-bit glider predecessor.
well Thank You for the seven-bit ones !

Cheers !
In the Game of Life there are no winners there are no losers there are only SURVIVORS.
.....**
...****
.******
*( ͡° ͜ʖ ͡°)*

Code: Select all

#CXRLE Pos=0,0
x = 26, y = 34, rule = B3/S23
23bo$23bobo$23b2o9$2b3o2$o5bo$o5bo$o5bo2$2b3o5b2o$10b2o3$2b2o$2b2o10$
15b2o$15b2o!

User avatar
otismo
Posts: 629
Joined: August 18th, 2010, 1:41 pm
Location: Florida
Contact:

Re: Predecessors of common objects and evolutionary sequences

Post by otismo » February 24th, 2021, 11:05 pm

here is an 8x8 17bit PaperClip Predecessor :

Code: Select all

x = 8, y = 8, rule = B3/S23
4bo$o2b3o$2bob2o$b2o$2b2o$3bo2b2o$5bo$5bo!
In the Game of Life there are no winners there are no losers there are only SURVIVORS.
.....**
...****
.******
*( ͡° ͜ʖ ͡°)*

Code: Select all

#CXRLE Pos=0,0
x = 26, y = 34, rule = B3/S23
23bo$23bobo$23b2o9$2b3o2$o5bo$o5bo$o5bo2$2b3o5b2o$10b2o3$2b2o$2b2o10$
15b2o$15b2o!

Post Reply