Thread for your fast components

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Thread for your fast components

Post by MathAndCode » February 19th, 2021, 1:08 am

I figured that there should be a thread for fast components, i.e. parts of glider syntheses that are time-sensitive. For example, suppose that someone found a way to stabilize this in the following manner:

Code: Select all

x = 14, y = 17, rule = B3/S23
2o2$o3bo$b3o4$3b2o$2bo2bo$3b2o2$3b2ob3o$obo2bob2o$3bob2o5b2o$o10b2o$3b
o8bo$13bo!
[[ PASTET 3 PASTE 2o$bo! 7 7 ]]
It could then be used to stabilize this in the same manner:

Code: Select all

x = 8, y = 9, rule = B3/S23
3b2o$2b3obo$bo$2o$b2o$3bo2b2o$3bo2bo$4bo$3bo!
[[ PASTET 3 PASTE o$2o! -2 5 ]]
I haven't figured out how to do that (although if anyone does, please let me know), but I have figured out a different method of stabilizing the second example, specifically be adding a very long snake. Unfortunately, it doesn't work with the first example due to clearance issues, but I'm sure that there are other cases where it works.

Code: Select all

x = 40, y = 34, rule = B3/S23
26bo$25bo$25b3o$7bo$8b2o$7b2o2$10bo$2bobo6b2o$3b2o5b2o$3bo$38bo$37bo$
37b3o3$25bob2o$25b3o$20b2o4bo$20b2o5$2o4b3o16b2o$b2o5bo15bobo$o6bo17b
o$16bo$16b2o15bo$15bobo14b2o$32bobo$38bo$37b2o$37bobo!
In case you do not believe that what I call fast components deserve to be called components, here is a demonstration that they can be mixed and matched (that includes several more fast components):

Code: Select all

x = 3393, y = 263, rule = B3/S23
2556bo197bo99bo201bo101bo193bo$2557bo8bo177bo8bo101bo8bo181bo8bo103bo
8bo173bo8bo$2555b3o9bo175bo9b3o97b3o9bo179bo9b3o99b3o9bo171bo9b3o$649b
o111bo185bo115bo145bo191bo1163b3o175b3o117b3o179b3o119b3o171b3o$45bo
598bo4bobo107bobo4bo175bo4bobo111bobo4bo138bobo4bo181bo4bobo142bo$44bo
150bo147bo153bo146bobo2b2o109b2o2bobo175bobo2b2o113b2o2bobo139b2o2bobo
181bobo2b2o138bo4bobo$44b3o147bo147bo153bo147b2o119b2o175b2o123b2o144b
2o181b2o143bobo2b2o$194b3o145b3o151b3o1042b2o1042bo139bo5bobo149bo143b
o5bobo151bo135bo5bobo$14bo1686bobo103bobo189bobo107bobo143bobo325b2o
141b2o4b2o147b2o145b2o4b2o149b2o137b2o4b2o$15bo148bo147bo153bo150bobo
171bobo121bobo175bobo143bobo127bobo293bo6bo28b2o105b2o28bo6bo117bo6bo
28b2o109b2o28bo6bo108b2o28bo6bo110bobo177b2o139b2o5bo149b2o143b2o5bo
151b2o135b2o5bo$13b3o149bo147bo153bo150b2o171b2o123b2o175b2o144b2o129b
2o142bobo149bo3bobo29bo105bo29bobo3bo119bo3bobo29bo109bo29bobo3bo109bo
29bobo3bo112b2o28bo6bo$163b3o145b3o151b3o150bo173bo123bo177bo145bo129b
o144b2o147b3o4b2o165b2o4b3o115b3o4b2o169b2o4b3o137b2o4b3o110bo29bobo3b
o295bo301bo295bo$1515bo919b2o4b3o293bobo299bobo293bobo$643bo123bo173bo
127bo145bo179bo299bo119bo177bo123bo145bo473b2o300b2o294b2o$51bo149bo
149bo149bo141bobo5bo113bobo33bo139bobo7bo115bobo31bo111bobo35bo143bobo
3bo138bo10bo141b2o6bo114b2o33bo139b2o8bo116b2o31bo112b2o35bo110bo38bo
119bo29bo149bo117bo31bo149bo121bo27bo149bo$50bo149bo149bo149bo142b2o5b
o115b2o32bo140b2o7bo117b2o30bo113b2o34bo144b2o3bo139bobo7bo143b2o4bo
114b2o33bo141b2o6bo116b2o31bo112b2o35bo112b2o35bo120b2o27bo149bo118b2o
29bo149bo122b2o25bo149bo$7bo42b3o37bobo64bo42b3o37bobo64bo42b3o37bobo
64bo42b3o37bobo64bo42b3o37bobo64bo42b3o37bobo64bo42b3o37bobo64bo42b3o
37bobo64bo42b3o37bobo64bo42b3o37bobo64bo32b2o8b3o37bobo64bo42b3o37bobo
64bo42b3o37bobo64bo42b3o37bobo64bo42b3o37bobo64bo42b3o37bobo64bo4b2o
36b3o37bobo64bo12bobo27b3o37bobo64bo42b3o37bobo64bo10bobo29b3o37bobo
64bo42b3o37bobo64bo14bobo25b3o37bobo64bo42b3o37bobo$8b2o80b2o66b2o80b
2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b
2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b
2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b2o66b2o80b
2o$7b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o
82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b
2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo65b2o82bo
5$69bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo$67b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$68b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o2$49bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo$47bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo147bobo$48b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o6$29bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo$30bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$28b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o
147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o3$
24b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o
141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o
141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o
141b2o5b2o141b2o5b2o$23bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo
141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo
141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo
141bobo5bo141bobo5bo141bobo5bo141bobo5bo$23bo5bobo141bo5bobo141bo5bobo
141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo
141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo
141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo$22b2o5b2o
141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o
141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o
141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o
141b2o5b2o2$59b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o
147b3o147b3o$59bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$60bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo2$3b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o$4b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o$3bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo9$65b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o$64b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o$66bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo38$2556bo
197bo99bo201bo101bo193bo$2557bo8bo177bo8bo101bo8bo181bo8bo103bo8bo173b
o8bo$2555b3o9bo175bo9b3o97b3o9bo179bo9b3o99b3o9bo171bo9b3o$649bo111bo
185bo115bo145bo191bo1163b3o175b3o117b3o179b3o119b3o171b3o$45bo598bo4bo
bo107bobo4bo175bo4bobo111bobo4bo138bobo4bo181bo4bobo142bo$44bo150bo
147bo153bo146bobo2b2o109b2o2bobo175bobo2b2o113b2o2bobo139b2o2bobo181bo
bo2b2o138bo4bobo$44b3o147bo147bo153bo147b2o119b2o175b2o123b2o144b2o
181b2o143bobo2b2o$194b3o145b3o151b3o1042b2o1042bo139bo5bobo149bo143bo
5bobo151bo135bo5bobo$14bo1686bobo103bobo189bobo107bobo143bobo325b2o
141b2o4b2o147b2o145b2o4b2o149b2o137b2o4b2o$15bo148bo147bo153bo150bobo
171bobo121bobo175bobo143bobo127bobo293bo6bo28b2o105b2o28bo6bo117bo6bo
28b2o109b2o28bo6bo108b2o28bo6bo110bobo177b2o139b2o5bo149b2o143b2o5bo
151b2o135b2o5bo$13b3o149bo147bo153bo150b2o171b2o123b2o175b2o144b2o129b
2o142bobo149bo3bobo29bo105bo29bobo3bo119bo3bobo29bo109bo29bobo3bo109bo
29bobo3bo112b2o28bo6bo$163b3o145b3o151b3o150bo173bo123bo177bo145bo129b
o144b2o147b3o4b2o165b2o4b3o115b3o4b2o169b2o4b3o137b2o4b3o110bo29bobo3b
o295bo301bo295bo$1515bo919b2o4b3o293bobo299bobo293bobo$643bo123bo173bo
127bo145bo179bo299bo119bo177bo123bo145bo473b2o300b2o294b2o$51bo149bo
149bo149bo141bobo5bo113bobo33bo139bobo7bo115bobo31bo111bobo35bo143bobo
3bo138bo10bo141b2o6bo114b2o33bo139b2o8bo116b2o31bo112b2o35bo110bo38bo
119bo29bo149bo117bo31bo149bo121bo27bo149bo$50bo149bo149bo149bo142b2o5b
o115b2o32bo140b2o7bo117b2o30bo113b2o34bo144b2o3bo139bobo7bo143b2o4bo
114b2o33bo141b2o6bo116b2o31bo112b2o35bo112b2o35bo120b2o27bo149bo118b2o
29bo149bo122b2o25bo149bo$50b3o37bobo107b3o37bobo107b3o37bobo107b3o37bo
bo107b3o37bobo107b3o37bobo107b3o37bobo107b3o37bobo107b3o37bobo107b3o
37bobo97b2o8b3o37bobo107b3o37bobo107b3o37bobo107b3o37bobo107b3o37bobo
107b3o37bobo69b2o36b3o37bobo77bobo27b3o37bobo107b3o37bobo75bobo29b3o
37bobo107b3o37bobo79bobo25b3o37bobo107b3o37bobo$90b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$4bo86bo62bo86bo62bo
86bo62bo86bo62bo86bo62bo86bo62bo86bo62bo86bo62bo86bo62bo86bo62bo86bo
62bo86bo62bo86bo62bo86bo62bo86bo62bo86bo62bo86bo62bo86bo62bo86bo62bo
86bo62bo86bo62bo86bo62bo86bo$2bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo147bobo147bobo$3b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o3$69bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo$67b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o$68b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o2$49bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo$47bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo$48b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o6$29bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo$30bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$28b3o147b3o147b3o
147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o3$24b2o5b2o141b2o5b
2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b
2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b
2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b
2o$23bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo
5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo
5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo5bo141bobo
5bo141bobo5bo141bobo5bo$23bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5b
obo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5b
obo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5bobo141bo5b
obo141bo5bobo141bo5bobo141bo5bobo141bo5bobo$22b2o5b2o141b2o5b2o141b2o
5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o
5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o
5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o2$59b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o
147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o$59b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo$60bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo6$7bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$2o5b2o
141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o
141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o
141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o
141b2o5b2o$b2o3bobo142b2o3bobo142b2o3bobo142b2o3bobo142b2o3bobo142b2o
3bobo142b2o3bobo142b2o3bobo142b2o3bobo142b2o3bobo142b2o3bobo142b2o3bob
o142b2o3bobo142b2o3bobo142b2o3bobo142b2o3bobo142b2o3bobo142b2o3bobo
142b2o3bobo142b2o3bobo142b2o3bobo142b2o3bobo142b2o3bobo$o149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo4$65b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o$64b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o$66bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo38$2631bo297bo303bo$2632bo8bo288bo8bo294bo8bo$2630b3o9bo285b
3o9bo291b3o9bo$686bo301bo337bo1313b3o295b3o301b3o$45bo638bobo4bo294bob
o4bo327bo4bobo217bo$44bo150bo222bo266b2o2bobo295b2o2bobo327bobo2b2o
213bo4bobo$44b3o147bo222bo272b2o300b2o327b2o218bobo2b2o$194b3o220b3o
1121b2o1117bo297bo303bo$14bo1761bobo295bobo178bobo400b2o296b2o302b2o$
15bo148bo222bo328bobo299bobo273bobo443bo6bo28b2o260bo6bo28b2o180b2o28b
o6bo110bobo252b2o296b2o302b2o$13b3o149bo222bo327b2o300b2o275b2o217bobo
224bo3bobo29bo261bo3bobo29bo180bo29bobo3bo112b2o28bo6bo$163b3o220b3o
328bo301bo275bo219b2o222b3o4b2o289b3o4b2o240b2o4b3o110bo29bobo3bo$
1515bo919b2o4b3o$692bo301bo325bo449bo297bo194bo$51bo149bo224bo263bobo
33bo265bobo31bo293bobo3bo213bo10bo216b2o6bo289b2o8bo187b2o35bo110bo38b
o194bo29bo267bo31bo271bo27bo$50bo149bo224bo265b2o32bo267b2o30bo294b2o
3bo214bobo7bo218b2o4bo291b2o6bo187b2o35bo112b2o35bo195b2o27bo268b2o29b
o272b2o25bo$50b3o37bobo107b3o37bobo182b3o37bobo257b3o37bobo257b3o37bob
o257b3o37bobo172b2o8b3o37bobo182b3o37bobo257b3o37bobo182b3o37bobo69b2o
36b3o37bobo152bobo27b3o37bobo225bobo29b3o37bobo229bobo25b3o37bobo$90b
2o148b2o223b2o298b2o298b2o298b2o223b2o223b2o298b2o223b2o148b2o223b2o
298b2o298b2o$91bo149bo224bo299bo299bo299bo224bo224bo299bo224bo149bo
224bo299bo299bo2$5bobo147bobo222bobo297bobo297bobo297bobo222bobo222bob
o297bobo222bobo147bobo222bobo297bobo297bobo$6b2o148b2o223b2o298b2o298b
2o298b2o223b2o223b2o298b2o223b2o148b2o223b2o298b2o298b2o$6bo149bo224bo
299bo299bo299bo224bo224bo299bo224bo149bo224bo299bo299bo$69bo149bo224bo
299bo299bo299bo224bo224bo299bo224bo149bo224bo299bo299bo$67b2o148b2o
223b2o298b2o298b2o298b2o223b2o223b2o298b2o223b2o148b2o223b2o298b2o298b
2o$68b2o148b2o223b2o298b2o298b2o298b2o223b2o223b2o298b2o223b2o148b2o
223b2o298b2o298b2o2$49bo149bo224bo299bo299bo299bo224bo224bo299bo224bo
149bo224bo299bo299bo$47bobo147bobo222bobo297bobo297bobo297bobo222bobo
222bobo297bobo222bobo147bobo222bobo297bobo297bobo$48b2o148b2o223b2o
298b2o298b2o298b2o223b2o223b2o298b2o223b2o148b2o223b2o298b2o298b2o6$
29bo149bo224bo299bo299bo299bo224bo224bo299bo224bo149bo224bo299bo299bo$
30bo149bo224bo299bo299bo299bo224bo224bo299bo224bo149bo224bo299bo299bo$
28b3o147b3o222b3o297b3o297b3o297b3o222b3o222b3o297b3o222b3o147b3o222b
3o297b3o297b3o3$24b2o5b2o141b2o5b2o216b2o5b2o291b2o5b2o291b2o5b2o291b
2o5b2o216b2o5b2o216b2o5b2o291b2o5b2o216b2o5b2o141b2o5b2o216b2o5b2o291b
2o5b2o291b2o5b2o$23bobo5bo141bobo5bo216bobo5bo291bobo5bo291bobo5bo291b
obo5bo216bobo5bo216bobo5bo291bobo5bo216bobo5bo141bobo5bo216bobo5bo291b
obo5bo291bobo5bo$23bo5bobo141bo5bobo216bo5bobo291bo5bobo291bo5bobo291b
o5bobo216bo5bobo216bo5bobo291bo5bobo216bo5bobo141bo5bobo216bo5bobo291b
o5bobo291bo5bobo$22b2o5b2o141b2o5b2o216b2o5b2o291b2o5b2o291b2o5b2o291b
2o5b2o216b2o5b2o216b2o5b2o291b2o5b2o216b2o5b2o141b2o5b2o216b2o5b2o291b
2o5b2o291b2o5b2o2$59b3o147b3o222b3o297b3o297b3o297b3o222b3o222b3o297b
3o222b3o147b3o222b3o297b3o297b3o$59bo149bo224bo299bo299bo299bo224bo
224bo299bo224bo149bo224bo299bo299bo$60bo149bo224bo299bo299bo299bo224bo
224bo299bo224bo149bo224bo299bo299bo8$7b3o147b3o222b3o297b3o297b3o297b
3o222b3o222b3o297b3o222b3o147b3o222b3o297b3o297b3o$9bo149bo224bo299bo
299bo299bo224bo224bo299bo224bo149bo224bo299bo299bo$8bo149bo224bo299bo
299bo299bo224bo224bo299bo224bo149bo224bo299bo299bo3$65b2o148b2o223b2o
298b2o298b2o298b2o223b2o223b2o298b2o223b2o148b2o223b2o298b2o298b2o$64b
2o148b2o223b2o298b2o298b2o298b2o223b2o223b2o298b2o223b2o148b2o223b2o
298b2o298b2o$66bo149bo224bo299bo299bo299bo224bo224bo299bo224bo149bo
224bo299bo299bo!
Fast components can also be used in cases where the object would be stable without them, but slow components (converters) would be more expensive.

Code: Select all

x = 35, y = 40, rule = B3/S23
6bo$7bo$5b3o5$16bo$15b2o$15bobo2$11b3o$13bo$12bo10$28b3o$28bo$29bo9$2o
$b2o$o$32b3o$32bo$33bo!
(This isn't a good example because the previous best synthesis didn't start with a big S with one tub, but it's the only example that I know of where using a fast component instead of a slow component results in a reduction in cost (and a fairly sizeable one at that). If you know of a better example, please give it to me so that I can add it.)



Edit: GUYTU6J posted an example where turning a pre-block into a tub is one glider cheaper with a fast component than with a slow component.

Code: Select all

x = 23, y = 29, rule = B3/S23
14bobo$15b2o$15bo2$19bobo$19b2o$3bobo14bo$4b2o$4bo2$20bo$20bobo$20b2o
3$8b2o$b2o4bobo$obo6bo$2bo2$20b2o$19b2o$15b2o4bo$14b2o$16bo2$9b2o$10b
2o$9bo!

Code: Select all

x = 43, y = 44, rule = B3/S23
40bo$40bobo$40b2o$4bo$5b2o$4b2o7$26bobo$27b2o$27bo2$31bobo$31b2o$32bo
4$32bo$32bobo$32b2o3$20b2o$19bobo$21bo3$32b2o$31b2o$27b2o4bo$26b2o$28b
o2$21b2o$22b2o$21bo$b2o$obo$2bo!
Last edited by MathAndCode on February 19th, 2021, 11:40 am, edited 1 time in total.
I am tentatively considering myself back.

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Thread for your fast components

Post by GUYTU6J » February 19th, 2021, 2:08 am

Do you mean the central region in these two syntheses?

Code: Select all

x = 62, y = 29, rule = B3/S23
7bobo24bobo$8b2o25b2o$8bo26bo2$12bobo$12b2o17bo$13bo17b2o8b2o5bo$30bob
o7bobo3b3o$39bobo3bo$40bo4b2o12bobo$13bo45b2o$13bobo25b2o17bo$13b2o26b
obo$41bo$56bo$b2o52b2o$obo52bobo$2bo3$13b2o$12b2o$8b2o4bo$7b2o$9bo2$2b
2o$3b2o$2bo!
I'm just posting to ask for a pre-block inserter for the corners that completes an aircraft carrier, snake or beacon motif. That kind of activity is quite common...

Code: Select all

x = 57, y = 9, rule = B3/S23
4bo47bo$4bo47bo$4bo15bo4bo26bo$13b2o3bobo4bobo14b2o$3o3b3o3bo2bo3b2o4b
2o3b2o4b2o3bo2bo3b3o3b3o$13b2o14bobo4bobo3b2o$4bo26bo4bo15bo$4bo47bo$
4bo47bo!

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » February 19th, 2021, 11:33 am

GUYTU6J wrote:
February 19th, 2021, 2:08 am
Do you mean the central region in these two syntheses?
The first one works.

Code: Select all

x = 23, y = 29, rule = B3/S23
14bobo$15b2o$15bo2$19bobo$19b2o$3bobo14bo$4b2o$4bo2$20bo$20bobo$20b2o
3$8b2o$b2o4bobo$obo6bo$2bo2$20b2o$19b2o$15b2o4bo$14b2o$16bo2$9b2o$10b
2o$9bo!

Code: Select all

x = 16, y = 16, rule = B3/S23
8bo$8bobo$8b2o$4bo$5b2o4b2ob2o$4b2o5bo3bo$12b3o2$12b3o$b2o5b2o2bo2bo$
obo5bo6bo$2bo6b6o$12bo$7b3o$6bo3bo$6b2ob2o!
Thank you for posting it, and I'll add it to the original post. However, for the second one, while the fast converter works, the slow converter doesn't.

Code: Select all

x = 16, y = 19, rule = B3/S23
5bo$6bo$4b3o2$10bobo$10b2o$2o9bo$obo$2bo2b2o6b3o$obobobo6bo$2o2bo4bo4b
o$4b6o2$4b6o$4bo4bo2b2o$7bobobobo$7b2o2bo$11bobo$12b2o!
GUYTU6J wrote:
February 19th, 2021, 2:08 am
I'm just posting to ask for a pre-block inserter for the corners that completes an aircraft carrier, snake or beacon motif. That kind of activity is quite common...
Yes, it's fairly common. I've come across at least two situations so far where I wish that I knew how to do that.



Edit: Here is a way to turn a block into a table:

Code: Select all

x = 91, y = 94, rule = B3/S23
88bo$88bobo$88b2o2$64bobo$64b2o$65bo2$o$b2o$2o31$47bobo$40bo6b2o$40bo
7bo$40bo2$45bo$44bobo$43bo2bo19bo$44b2o6bo11b2o$52b2o3b2o6b2o$51bobo3b
obo$57bo2$61b2o$60b2o$62bo35$72b2o$71b2o$73bo!
The loaf can be deleted with one additional glider.



Another edit: Here is a fast block->fishhook component that reduces the cost of the 22-cell still life in this example by three gliders:

Code: Select all

x = 36, y = 36, rule = B3/S23
5bo$6bo$4b3o8$35bo$33b2o$34b2o5$29bo$27b2o$28b2o$21bobo$22b2o$22bo7b2o
$30bobo$30bo9$b2o$obo$2bo!
I also found a fast block->boat, but it doesn't reduce the cost of this particular example:

Code: Select all

x = 38, y = 37, rule = B3/S23
4bobo$5b2o$5bo6$37bo$35b2o$36b2o5$31bo$29b2o$30b2o$23bobo$24b2o$24bo7b
2o$32bobo$32bo12$b2o$obo$2bo!


Yet another edit: This modification of the four-glider block on dock synthesis reduces the cost of the synthesis for one of the arrangements of fishhook on dock by one glider:

Code: Select all

x = 13, y = 8, rule = B3/S23
o5bo5bo$b2ob2o4b2o$2o3b2o4b2o2$8b2o$2o6bobo$b2o5bo$o!
I also found a fast way to turn the block into a ship, but there's an independent way to make a trans-ship on dock with four gliders.

Code: Select all

x = 25, y = 16, rule = B3/S23
o13bo$b2o9b2o7bo$2o11b2o4b2o$20b2o9$16b2o5bo$2o14bobo3b2o$b2o13bo5bobo$o!


Fourth edit: This fast pre-block->loaf component is one glider cheaper than the slow analogue. It works with docks that form from interchange predecessors. (There are at least two other dock formations where it would have worked if not for the fact that the gliders to synthesize the spark would have crashed into the reaction too soon.)

Code: Select all

x = 27, y = 29, rule = B3/S23
17bo$2bo13bo$obo13b3o$b2o$25bo$24bo$10bo13b3o$10bobo$10b2o3$12b3o$12b
o$13bo13$23b2o$22b2o$24bo!

Code: Select all

x = 33, y = 33, rule = B3/S23
6bo$4bobo$5b2o23bobo$30b2o$31bo9$o$b2o$2o$11bo$9b2o$10b2o3$9b2o$9bobo
$9bo7$27b3o$27bo$28bo!

Code: Select all

x = 21, y = 16, rule = B3/S23
5bo$4bobo$4bobo$5bo6bo$11bobo$b2o8bo2bo5bo$obo3b2o4b2o4b2o$2bo2bo2bo10b
2o$6b2o4$7b2o$6b2o9b2o$8bo8bobo$17bo!

Code: Select all

x = 63, y = 51, rule = B3/S23
58bobo$58b2o$obo56bo$b2o$bo25$23bo$22b2o$18bo3bobo$18b2o$17bobo4$38b3o
$38bo$39bo9$60b2o$60bobo$60bo!

Code: Select all

x = 63, y = 58, rule = B3/S23
obo$b2o$bo5$60bo$60bobo$60b2o18$23bo$22b2o$18bo3bobo$18b2o$17bobo4$38b
3o$38bo$39bo18$59bo$58b2o$58bobo!

Code: Select all

x = 64, y = 48, rule = B3/S23
60bo$60bobo$obo57b2o$b2o$bo3$62bo$61bo$61b3o25$47bo$47bobo$47b2o7$20b
obo$21b2o$21bo3bobo$25b2o$26bo!

Code: Select all

x = 63, y = 48, rule = B3/S23
2bo$obo$b2o57bobo$60b2o$61bo3$53bo$52bo$52b3o25$38bo$38bobo$38b2o7$11b
obo$12b2o$12bo3bobo$16b2o$17bo!
In each case, the object either had a more expensive synthesis or no synthesis on Catagolue. A transfer.py analog for fast components would be nice, although I realize that it would likely be more difficult to program.



Fifth edit: Here is a fast four-glider block->fishhook component that works with both six-glider eater 2 syntheses:

Code: Select all

x = 125, y = 44, rule = B3/S23
25bo$24bo$24b3o$4bo$5b2o$4b2o2$30bo79bobo$20bo7b2o68bo12b2o9bo$20bobo
6b2o65bobo12bo9bo$20b2o75b2o22b3o5$4bo104bo$5bo104bo$3b3o102b3o3$122b
2o$122bobo$112b3o8bo$114bo$113bo2$8b3o20bo$10bo19b2o$9bo20bobo$b2o$obo
90b2o24b2o$2bo91b2o23bobo$93bo25bo$105b3o$107bo$106bo3$25b3o$25bo$26bo
$4bo$4b2o$3bobo!


Sixth edit: I figured out a fast way to turn it into a cap based on that.

Code: Select all

x = 130, y = 41, rule = B3/S23
28bo$27bo$27b3o$7bo$8b2o$7b2o2$33bo65bobo11bobo$23bo7b2o67b2o12b2o9bo
$23bobo6b2o66bo13bo9bo$obo20b2o99b3o$b2o$bo3$7bo104bo$8bo104bo$6b3o102b
3o3$125b2o$125bobo$115b3o8bo$117bo$116bo2$11b3o20bo$13bo19b2o$12bo20b
obo$4b2o$3bobo116b2o$5bo116bobo$122bo$108b3o$110bo$109bo$128b2o$127b2o
$30b2o97bo$29b2o$31bo!
I suspect that those first three gliders can also be used to make a fast block->ship component—although it wouldn't necessarily be cheaper than the slow equivalent.
I am tentatively considering myself back.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » February 21st, 2021, 9:14 pm

GUYTU6J wrote:
February 19th, 2021, 2:08 am
I'm just posting to ask for a pre-block inserter for the corners that completes an aircraft carrier, snake or beacon motif. That kind of activity is quite common...

Code: Select all

x = 57, y = 9, rule = B3/S23
4bo47bo$4bo47bo$4bo15bo4bo26bo$13b2o3bobo4bobo14b2o$3o3b3o3bo2bo3b2o4b
2o3b2o4b2o3bo2bo3b3o3b3o$13b2o14bobo4bobo3b2o$4bo26bo4bo15bo$4bo47bo$
4bo47bo!
I just looked at the synthesis of xs13_dbgzbd and saw that it uses such a fast component (twice).

Code: Select all

x = 29, y = 14, rule = B3/S23
6bo15bo$o6b2o11b2o6bo$b2o3b2o13b2o3b2o$2o25b2o4$15b3o$3b2o10bo8b2o$4b
2o10bo6b2o$3bo21bo$12b3o$14bo$13bo!
It also works for aircraft carriers and beacons.

Code: Select all

x = 29, y = 15, rule = B3/S23
6bo15bo$o6b2o11b2o6bo$b2o3b2o13b2o3b2o$2o25b2o5$3b2o10b3o6b2o$4b2o9bo
7b2o$3bo12bo8bo2$12b3o$14bo$13bo!

Code: Select all

x = 24, y = 12, rule = B3/S23
17bo$3bo11b2o6bo$4b2o10b2o3b2o$3b2o17b2o5$2o17b2o$b2o3b2o10b2o$o6b2o11b
o$6bo!


Edit: These used to cost thirteen and ten gliders, respectively.

Code: Select all

x = 35, y = 42, rule = B3/S23
6bo$7bo$5b3o5$16bo$15b2o$15bobo2$11b3o$13bo$12bo10$28b3o$28bo$29bo8$33b
o$32b2o$32bobo$bo$b2o$obo$32bo$31b2o$31bobo!

Code: Select all

x = 35, y = 42, rule = B3/S23
5bo$6bo$4b3o5$15bo$14b2o$14bobo2$10b3o$12bo$11bo10$27b3o$27bo$28bo8$33b
o$32b2o$32bobo$bo$b2o$obo$32bo$31b2o$31bobo!


Another edit: These used to cost thirteen and fourteen gliders, respectively.

Code: Select all

x = 39, y = 39, rule = B3/S23
20b2o$19bobo$21bo$15bo$16b2o5bo$15b2o5b2o$22bobo6$37bo$36b2o$36bobo16$
bo$b2o$obo$37bo$36b2o$36bobo$2bo$2b2o$bobo!

Code: Select all

x = 39, y = 39, rule = B3/S23
19b2o$18bobo$20bo$14bo$15b2o5bo$14b2o5b2o$21bobo6$36bo$35b2o$35bobo16$
bo$b2o$obo$37bo$36b2o$36bobo$2bo$2b2o$bobo!
Relatedly, I made this:

Code: Select all

x = 39, y = 26, rule = B3/S23
20b2o$19bobo$21bo$15bo$16b2o5bo$15b2o5b2o$22bobo5$obo$b2o34bo$bo34b2o
$36bobo5$14bobo$15b2o5b2o$15bo5b2o$23bo$17bo$17bobo$17b2o!


Yet another edit: This consumes seven gliders:

Code: Select all

x = 61, y = 15, rule = B3/S23
9bo$8bo46bo$8b3o45bo$54b3o$o$b2o55b3o$2o7b2o47bo$8b2o43b2o4bo$10bo41b
obo$52bo$16b2o31b2obo$16bobo31bob2o$5b2o9bo33bo2bo$4bobo44b2o$6bo!
This consumes only six gliders:

Code: Select all

x = 22, y = 19, rule = B3/S23
19bo$19bobo$19b2o2$9bo$8bo$8b3o2$o$b2o$2o7b2o$8b2o$10bo2$16b2o$16bobo
$5b2o9bo$4bobo$6bo!
I am tentatively considering myself back.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » March 3rd, 2021, 3:30 pm

Here is the current collection of the fast components (except for a few that were specific to one particular case and not very useful in general). I'm sure that there are additional fast components that I don't know about, and it's also likely that some of the components in the collection can be improved. If either is the case, anyone is free to put them in the collection and then upload the updated copy.
Attachments
fast components.rle
(32.73 KiB) Downloaded 113 times
I am tentatively considering myself back.

User avatar
wwei47
Posts: 1648
Joined: February 18th, 2021, 11:18 am

Re: Thread for your fast components

Post by wwei47 » March 6th, 2021, 12:14 am

The tail addition was a slow component, but I managed to tack on a ship in what I think is a fast component. I planned to just put this in the useless discoveries thread, but apparently interest was taken onto this.

Code: Select all

x = 18, y = 35, rule = B3/S23
obo$b2o$bo2$14bobo$14b2o$15bo9$3bo$2bobo$3bo7$16b2o$15b2o$17bo$10b2o$
10bobo$10bo3$3o$2bo$bo!
Kazyan then reduced it to 6G:

Code: Select all

x = 21, y = 32, rule = B3/S23
5bo$6bo$4b3o$14bo$14bobo$14b2o5$bo$b3o$4bo$b2obo$bobo7$16b2o$15b2o$17b
o$10b2o$10bobo$10bo3$3o15b2o$2bo15bobo$bo16bo!
Meanwhile, Blinkerspawn mutated it into a loaf:

Code: Select all

x = 28, y = 35, rule = B3/S23
25bobo$21bo3b2o$20bo5bo$o19b3o$b2o$2o10$4bo$3bobo$4bo3$24b2o$24bobo$
24bo2$17b2o$16b2o$18bo$11b2o$11bobo$11bo3$b3o$3bo$2bo!
MathAndCode then posted some cleanups:

Code: Select all

x = 78, y = 42, rule = B3/S23
25bobo47bobo$21bo3b2o44bo3b2o$20bo5bo43bo5bo$o19b3o27bo19b3o$b2o48b2o$
2o48b2o10$4bo49bo$3bobo47bobo$4bo49bo3$24b2o48b2o$24bobo47bobo$24bo49b
o$52bo$17b2o34bo13b2o$16b2o33b3o12b2o$18bo49bo$11b2o$11bobo$11bo3$b3o
15b2o$3bo15bobo$2bo16bo32bo$52b2o$51bobo3$62b3o$62bo$63bo!
Then a 1G reduction:

Code: Select all

x = 73, y = 44, rule = B3/S23
3bo49bo$4b2o48b2o$3b2o48b2o$21bo49bo$20bo49bo$o19b3o27bo19b3o$b2o48b2o
$2o48b2o10$4bo49bo$3bobo47bobo$4bo49bo6$52bo$17b2o34bo13b2o$16b2o33b3o
12b2o$18bo49bo$11b2o$11bobo$11bo3$b3o15b2o$3bo15bobo$2bo16bo32bo$52b2o
$51bobo3$62b3o$62bo$63bo!
Blinkerspawn then noted that a different version of the ship addition allowed an easy boat version:

Code: Select all

x = 71, y = 50, rule = B3/S23
7$23bo39bo$3bo19bobo17bo19bobo$4b2o17b2o19b2o17b2o$3b2o38b2o10$7bo39bo
$6bobo37bobo$7bo39bo5$27b2o37b2o$27bobo35b2o$20b2o5bo32b2o5bo$19b2o38b
2o$21bo39bo$14b2o38b2o$14bobo37bobo$14bo39bo3$4b3o15b2o20b3o15b2o$6bo
15bobo21bo15bobo$5bo16bo22bo16bo!
Remember: The tail is the slow part of the component. Sticking on the ship or boat or loaf or whatever is the fast part of the component.
Help me find high-period c/2 technology!
My guide: https://bit.ly/3uJtzu9
My c/2 tech collection: https://bit.ly/3qUJg0u
Overview of periods: https://bit.ly/3LwE0I5
Most wanted periods: 76,116

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Thread for your fast components

Post by Kazyan » March 7th, 2021, 1:22 am

Fast component that, surprisingly, gives us another 5G synthesis of an object:

Code: Select all

x = 13, y = 16, rule = B3/S23
2bo$3bo$b3o4bo$7bo$7b3o3$b2o$obo$2bo2$6b2o$7b2o$6bo3b2o$10bobo$10bo!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » March 7th, 2021, 2:28 pm

Kazyan wrote:
March 7th, 2021, 1:22 am
Fast component that, surprisingly, gives us another 5G synthesis of an object:
It also works with Catagolue's four-glider synthesis of a beehive with tail (although you probably already noticed that).

Code: Select all

x = 17, y = 21, rule = B3/S23
2bo$obo$b2o5bo$8bobo$8b2o3$15bo$3o11bo$2bo11b3o$bo$6bo$6b2o$5bobo$10b
3o$10bo$11bo2$6b3o$8bo$7bo!
Along with the add cap, add long hook, and add tie long ship fast components, this gives us four fast components that work on tails formed from R parents—and to think that we figured that there weren't any after the add bridge aircraft carrier component turned out to only require four gliders when done slowly! We just needed to look at the situation from a different direction (literally).
By the way, what should I label this as in the fast components collection?



Edit: The two-glider fast block-to-boat component can be appended.

Code: Select all

x = 70, y = 31, rule = B3/S23
o49bo$b2o48b2o$2o48b2o2$9bo49bo$9bobo47bobo$9b2o48b2o4$5bo49bo$3bobo47b
obo$4b2o5bo42b2o5bo$11bobo47bobo$11b2o48b2o3$68bo$3b3o47b3o11bo$5bo49b
o11b3o$4bo49bo$9bo49bo$9b2o48b2o$8bobo47bobo$13b3o47b3o$13bo49bo$14bo
49bo2$59b3o$61bo$60bo!
Last edited by MathAndCode on March 7th, 2021, 2:54 pm, edited 1 time in total.
I am tentatively considering myself back.

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Thread for your fast components

Post by Kazyan » March 7th, 2021, 2:54 pm

MathAndCode wrote:
March 7th, 2021, 2:28 pm
It also works with Catagolue's four-glider synthesis of a beehive with tail (although you probably already noticed that).

Code: Select all

x = 17, y = 21, rule = B3/S23
2bo$obo$b2o5bo$8bobo$8b2o3$15bo$3o11bo$2bo11b3o$bo$6bo$6b2o$5bobo$10b
3o$10bo$11bo2$6b3o$8bo$7bo!
Along with the add cap, add long hook, and add tie long ship fast components, this gives us four fast components that work on tails formed from R parents—and to think that we figured that there weren't any after the add bridge aircraft carrier component turned out to only require four gliders when done slowly! We just needed to look at the situation from a different direction (literally).
By the way, what should I label this as in the fast components collection?
The add-on seems to be called a "block on long beehive", per xs28_g88bbgz8llll8zx66, but I've usually thought of the "long beehive" as a "tire".
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » March 7th, 2021, 2:58 pm

Kazyan wrote:
March 7th, 2021, 2:54 pm
The add-on seems to be called a "block on long beehive", per xs28_g88bbgz8llll8zx66, but I've usually thought of the "long beehive" as a "tire".
Wouldn't a long beehive be the central region in xs20_bd0ehe0db? If so, would the region in your fast component be a tire or a long tire?
I am tentatively considering myself back.

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Thread for your fast components

Post by Kazyan » March 7th, 2021, 3:03 pm

MathAndCode wrote:
March 7th, 2021, 2:58 pm
Wouldn't a long beehive be the central region in xs20_bd0ehe0db? If so, would the region in your fast component be a tire or a long tire?
Yes, "long beehive" for xs20_bd0ehe0db's 3-length region is more consistent with how "long" is used everywhere else. The 4-length region is what I think of as a tire.
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » March 7th, 2021, 3:09 pm

Kazyan wrote:
March 7th, 2021, 3:03 pm
Yes, "long beehive" for xs20_bd0ehe0db's 3-length region is more consistent with how "long" is used everywhere else. The 4-length region is what I think of as a tire.
Thank you. I have added the label, and I will post the new version of the fast components collection as soon as I look into potentially adding a new version of the add siamese fishhook component.



Edit: Here's what I was trying to do:

Code: Select all

x = 68, y = 64, rule = B3/S23
24bo$25b2o5bo31bo$24b2o4bobo30bo$31b2o30b3o29$24b2o39b2o$23bobo39bobo
$25bo6bobo21b2o7bo$33b2o20b2o$33bo23bo3$48b2o$48b2o$29bo$29b2o$28bobo
15$26b2o$25bobo$27bo$3o$2bo$bo!
Unfortunately, it's not cheaper than the slow version (although that would change if someone can figure out how to get a pi edgeshot well enough with three gliders). Also, here's the updated version of the fast components collection:
fast components.rle
(38.35 KiB) Downloaded 109 times
I am tentatively considering myself back.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » April 24th, 2021, 5:18 pm

Kazyan wrote:
March 7th, 2021, 1:22 am
Fast component that, surprisingly, gives us another 5G synthesis of an object:
It turns out that it can work with other regions.

Code: Select all

x = 177, y = 36, rule = B3/S23
2bo73bo$obo71bobo$b2o15bo56b2o15bo$18bobo71bobo63bo$18b2o72b2o62bobo$
157b2o15bo$174bobo$174b2o5$151bo$152bo$150b3o4$3o71b3o$2bo14b2o57bo13b
o$bo15bobo55bo12b2o$17bo71b2o65b3o$9b3o146bo13bo$11bo145bo12b2o$10bo160b
2o3$154b3o$156bo$88b3o64bo$88bo$89bo$170b3o$79b2o89bo$78bobo90bo$80bo!
Maybe I should create a collection of regions that can participate in each side of snake-type interactions such as these, grouped by induction compatibility.
I am tentatively considering myself back.

User avatar
Kazyan
Posts: 1247
Joined: February 6th, 2014, 11:02 pm

Re: Thread for your fast components

Post by Kazyan » April 24th, 2021, 6:24 pm

MathAndCode wrote:
April 24th, 2021, 5:18 pm
It turns out that it can work with other regions.

Code: Select all

x = 177, y = 36, rule = B3/S23
2bo73bo$obo71bobo$b2o15bo56b2o15bo$18bobo71bobo63bo$18b2o72b2o62bobo$
157b2o15bo$174bobo$174b2o5$151bo$152bo$150b3o4$3o71b3o$2bo14b2o57bo13b
o$bo15bobo55bo12b2o$17bo71b2o65b3o$9b3o146bo13bo$11bo145bo12b2o$10bo160b
2o3$154b3o$156bo$88b3o64bo$88bo$89bo$170b3o$79b2o89bo$78bobo90bo$80bo!
Maybe I should create a collection of regions that can participate in each side of snake-type interactions such as these, grouped by induction compatibility.
Cool stuff! Here's what a quick run-through of spark_search found on this same theme:

Code: Select all

x = 179, y = 97, rule = B3/S23
53bo$54bo$52b3o8bobo102bo$64b2o59bobo40bobo$64bo60b2o41b2o$126bo$6bo$
4bobo57bo98bo$5b2o58bo45bo52b2o$63b3o5bobo38b2o49b2o6bobo$2bo68b2o38b
2o7bo50b2o$obo69bo46bo52bo$b2o6bo109b3o$9bobo$9b2o65bo49bo49bo$76bobo
47bobo47bobo$14bo61b2o48b2o48b2o$14bobo$14b2o7$3b3o$5bo$4bo8b3o45b3o
47b3o47b3o$13bo49bo49bo49bo$14bo47bo12b3o34bo12b3o34bo12b3o$75bo49bo
49bo$76bo49bo49bo49$115b2o$114bo2bo$114bo2bo$110b3o2b2o$112bo$111bo2$
117bo$116bobo$117b2o2$117b4o$116bo4bo$117b4o2$119b2o$119b2o!
Tanner Jacobi
Coldlander, a novel, available in paperback and as an ebook. Now on Amazon.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » April 24th, 2021, 6:36 pm

Kazyan wrote:
April 24th, 2021, 6:24 pm
Cool stuff! Here's what a quick run-through of spark_search found on this same theme:
I can think of one other example off the top of my head that can serve as the snake in this case. This gives us some more syntheses (although they might not all have the minimal cost).

Code: Select all

x = 183, y = 31, rule = B3/S23
57bo$58bo$56b3o8bobo102bo$68b2o59bobo40bobo$68bo60b2o41b2o$130bo$6bo$
4bobo61bo98bo$5b2o62bo45bo52b2o$67b3o5bobo38b2o49b2o6bobo$2bo72b2o38b
2o7bo50b2o$obo73bo46bo52bo$b2o10bo109b3o$13bobo$13b2o11$81b2o48b2o48b
2o$66b2o12b2o34b2o12b2o34b2o12b2o$19b2o44bobo14bo32bobo14bo32bobo14bo
$4b2o12b2o47bo49bo49bo$3bobo14bo$5bo!
I'll look through the components collection for possibilities in other induction groups. Also, what should the region that does not serve as the snake be called?



Edit: Here's what I've found so far:

Code: Select all

x = 37, y = 83, rule = LifeHistory
7$21.A$19.2A$20.2A$15.A.A$16.2A8.A$16.A9.A.A$26.2A3$16.2A$15.A.A$15.A
$14.2A43$9.A15.A$10.A13.A$8.3A13.3A5$4.A.A$5.2A$5.A2$7.2A4.2A$8.2A3.A
$7.A6.3A$16.A39$
3$4.A$3.2BA$3.3AB2.3B2.2B$4.8B.3BAB$5.11BABAB$6.10B2A3BD$7.6BA6BDBD.D
C$8.6B2A4BDBDBC.C$11.2B2A6B2D.C.C$12.8B5.C$12.8B$13.5B$14.2B16$13.AB
7.A$13.B2A5.A.B$13.2A2B.B2.3A$14.4BA4B$15.4B2A2B$16.2B2AB2D.DC$17.3BD
BDBC.C$17.3BDBD.C.C$19.B.D3.C23$29.3B$19.C3.2D3.BA3B$18.C.C.DBD2B2A4B
$18.C.CBD5B2A4B$19.CD.2D10B$22.8BA2B$24.6B2AB$25.3B.ABAB$19.8B$18.9B$
17.2A6BA$17.B2A4B2AB$17.AB5.ABA39$
.2A$A2.A5.A.A$.2A6.2A4.A.A$10.A4.2A$16.A2$.2A$A.A10.A$2.A9.2A$12.A.A$
3.2A$3.A.A$3.A39$
$23.ABA$22.B2AB$21.3BA$20.4B$19.4B$17.B.BAB$15.4BA.B$13.6B3A3B$12.BD
9B3A$12.DBD8BA.B$12.D2BD6B2.A$13.D.D2B2DB$14.D4BD$15.4D$16.B$15.2C$
15.C$16.C$15.2C11$23.ABA$4.A17.B2AB$3.2BA15.3BA$3.3AB13.4B$4.4B11.4B$
5.4B8.B.BAB$6.4B5.4BA.B$7.5B.6B3A3B$8.15B3A$9.B2.B2D8BA.B$12.D2BD6B2.
A$13.D.D2B2DB$14.D4BD$15.4D$16.B$15.2C$15.C$16.C$15.2C!
Of course, there's also the boat-bit reaction. Also, I think that there's something similar to the reaction that creates a dock with mango that creates an anvil instead.



Another edit: I figured out the region that creates the anvil.

Code: Select all

x = 17, y = 13, rule = B3/S23
bo$o10bo$o10bo$o10bo$bo2bo7bo2bo$2b3o8b3o4$b2o12b2o$bo14bo$2bo12bo$b2o
12b2o!


Yet another edit: I found a three-glider anvil component.

Code: Select all

x = 14, y = 24, rule = B3/S23
12b2o$11bobo$11bo$10b2o7$bo$2bo$3o3$3b2o$2bobo$4bo4$3b3o$5bo$4bo!


Fourth edit: I found an alternative synthesis for one of the regions.

Code: Select all

x = 14, y = 12, rule = B3/S23
obo$b2o$bo3bobo3bobo$5b2o4b2o$6bo5bo5$b2o$o2bo$b2o!
I am tentatively considering myself back.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » June 2nd, 2021, 2:28 pm

A slow block->boat component can be used as a fast preblock->tub component.

Code: Select all

x = 18, y = 23, rule = DoubleB3S23
3.C7.C$4.2C4.C.C$3.2C5.C.C2.C.C$11.C3.2C$16.C3$12.C$11.2C$11.C.C7$3A
10.2A$2.A10.A.A$.A11.A2$4.A$4.2A$3.A.A!
I had known this for at least several weeks, but I hadn't found an example where it's applicable before. Slow block->ship and block->fishhook components can be used analogously, but they don't result in reductions in this particular case because of clearance issues.

Code: Select all

x = 53, y = 49, rule = B3/S23
3b2o42b2o$3b2o42b2o2$2b3o41b3o$b6o39b5o$b4o40bob2o34$3bo2bo40bo2bo$o3b
obobo35bo3bobobo$b4obobo36b4obobo2$3b2o42b2o$3b2o42b2o2$2b3o41b3o$b6o
39b5o$b4o40bob2o!


Edit: Here is a fast preblock->claw with boat component.

Code: Select all

x = 27, y = 30, rule = DoubleB3S23
15.A$13.2A$14.2A$2.A$A.A$.2A6.A$7.2A15.C$8.2A14.C.C$24.2C$2.C$3.C$.3C
$20.C$20.C.C$20.2C11$20.2C$19.2C$5.3C13.C$7.C$6.C!
It looks like it will work with most docks.
I am tentatively considering myself back.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » June 8th, 2021, 4:33 pm

MathAndCode wrote:
April 24th, 2021, 6:36 pm
I can think of one other example off the top of my head that can serve as the snake in this case. This gives us some more syntheses (although they might not all have the minimal cost).
I found another example.

Code: Select all

x = 1513, y = 48, rule = B3/S23
336bo$331bo2b2o$329b2o4b2o280bobo$330b2o285b2o$480bobo135bo$480b2o$21b
obo145bobo309bo115bo165bobo$21b2o146b2o151bobo273bo164b2o$22bo147bo
151b2o136bo135b3o27bo137bo13bo282bobo$323bo137bo163bo151bo142bobo138b
2o126bobo$bo147bo309b3o163b3o115bo33b3o140b2o140bo126b2o148bobo$2bo
147bo151bo184bobo254bo176bo268bo148b2o156bobo$3o145b3o38bo113bo183b2o
253b3o296bo298bo156b2o$187b2o112b3o184bo411bo141bo126bo328bo$188b2o
581bo129bo138b3o127bo148bo$769b2o128b3o27bo138bo99b3o149bo156bo$770b2o
156bo139bobo125bo121b3o157bo$28bobo897b3o137b2o126bobo3bobo141bo129b3o
$28b2o1166b2o4b2o142bobo3bobo149bo$29bo905bobo265bo142b2o4b2o150bobo3b
obo$935b2o416bo150b2o4b2o$936bo574bo2$330b2o$330bobo$330bo$600b3o24b2o
3b3o$602bo23b2o4bo$184bo278b3o28bo106bo26bo4bo$167b3o13b2o152bo127bo
27b2o$4b3o145b3o14bo13bobo134b3o13b2o126bo28bobo250b3o$6bo19b2o126bo
13bo136b3o14bo13bobo409bo$5bo19b2o126bo153bo13bo168bo256bo24b2o270b3o$
27bo278bo182b2o281bobo128b3o24b2o114bo125b3o$489bobo280bo132bo24bobo
112bo128bo147b3o$904bo25bo242bo150bo155b3o$1071bo251bo158bo$634b2o434b
2o127bo281bo$633b2o435bobo125b2o149bo$635bo562bobo147b2o157bo$1348bobo
155b2o$1176bo329bobo$1176b2o$1175bobo172b2o$1350bobo$1350bo131b3o$
1484bo$1483bo!
However, I suspect that only the fishhook, beehive with tail, and tub with tail are reductions.
I am tentatively considering myself back.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » October 9th, 2021, 4:51 pm

Here is a fast component that cheapens the synthesis of xs20_0g88e13zqb871 by two gliders.

Code: Select all

x = 27, y = 35, rule = B3/S23
13bo$12bo$12b3o5$19bo$19bobo$19b2o9$bo$b2o$obo3$4bo$4b2o16bo$3bobo15b
2o$21bobo3$24b3o$24bo$25bo$7bo$7b2o$6bobo!
Are there any three-glider Z-syntheses that allow the component to be used on the other side in order to further cheapen xs24_xg88e13zwqb871z321?



Edit: I found a fast component that works on that side.

Code: Select all

x = 123, y = 49, rule = B3/S23
19bo$18bo$18b3o5$25bo$25bobo$25b2o64bo$92b2o$91b2o$38bo$37bo$37b3o2$110b
2o$110bo$111b3obo$113bob3o$113bo4bo$114b3obo$116bob3o$121bo$bo118bobo
$b2o117bobo$obo118bo3$4bo$4b2o22bo$3bobo21b2o$27bobo8$17b2o$18b2o3b2o
95b2o$17bo4b2o96b2o$24bo3$25b3o$25bo$26bo!


Another edit: Here are two related fast components.

Code: Select all

x = 33, y = 324, rule = B3/S23
25bo$24bo$18bo5b3o$16b2o$12bo4b2o$10bobo$11b2o17bo$30bobo$30b2o4$14bo$
13bo$13b3o4$4bo$4b2o$3bobo5b2o14bo$11bobo12b2o$12bo13bobo74$22bo$21bo$
15bo5b3o$13b2o$9bo4b2o$7bobo$8b2o$24bo$23bo$23b3o3$11bo$10bo$10b3o4$bo
$b2o$obo5b2o$8bobo11b2o$9bo11b2o$23bo86$19bo$18bo$12bo5b3o$10b2o$6bo4b
2o$4bobo$5b2o17bo$24bobo$24b2o4$5bo$6bo$4b3o4$15bo$14b2o$7b2o5bobo4bo$
6bobo11b2o$7bo12bobo73$16bo$15bo$9bo5b3o$7b2o$3bo4b2o$bobo$2b2o$18bo$
17bo$17b3o3$2bo$3bo$b3o4$12bo$11b2o$4b2o5bobo$3bobo10b2o$4bo10b2o$17bo!


Yet another edit: I found a related fast component.

Code: Select all

x = 306, y = 76, rule = B3/S23
68bo$67bo$67b3o5$62bo$60b2o$61b2o6$59bo$59bobo$18bo40b2o$19b2o$18b2o
20bo$38b2o$24bo14b2o$25bo$23b3o20$bo$b2o$obo18b2o3b2o$22b2o2bobo270b2o
$21bo4bo272bobo$302bo$300b2o$58bo241bo$57b2o242b3o$57bobo244bo$300bobo
bo$299bob2ob2o$299bo$297bobo$297b2o3$52b2o$51b2o$53bo$304b2o$304b2o5$
295b2o$296b2o$295bo2$2o$b2o$o!


Fourth edit: I found more related fast components.

Code: Select all

x = 616, y = 48, rule = B3/S23
145bo$146b2o$145b2o275bo$420b2o$421b2o6$154bobo$obo151b2o88bo155bo$b2o
145bo6bo86b2o157bo$bo144bobo94b2o154b3o$147b2o16bo$165bobo313bo$2bo95b
obo64b2o230bo84b2o$obo6bo13bo74b2o298bo12bo69b2o$b2o4b2o14bobo73bo134b
2o160b3o12bobo72bo$8b2o13b2o209b2o175b2o74b2o$88bo397b2o26bo98bobo$88b
o310b2o113bobo96b2o$88bo74bobo152b2o78bobo93bo19b2o98bo$163b2o152bo2b
o79bo94bo$79bo4b3o3b3o71bo74b3o76b2o173b3o107bo$21bobo54bobo72bo255bo
bo191bo$21b2o55bobo7bo64bobo81bo5bo165b2o192bo$22bo56bo8bo64b2o82bo5b
o166bo84b2o$11bo68b3o5bo142b2o4bo5bo155bo96b2o14bobo84b3o3b3o$11bobo69b
o60bo87bo75b2o89bobo93bo16b2o80bo$11b2o66bobobo59bobo85bo7b3o67bo89b2o
112bo79bobo7bo$78bob2ob2o59b2o86b3o73bo193bo91bo8bo$2bo75bo82b3o71bo73b
3o78bo111bobo90b3o5bo$bobo71b2obo82bo69bobobo76bo76bobo110b2o94bo$2b2o
71b2obobo81bo67bob2ob2o71bobobo77b2o202bobobo$19b3o57b2o149bo76bob2ob
2o93b3o83bo99bob2ob2o$19bo207b2obo76bo19bo79bo84bobo98bo$20bo206b2obo
bo71b2obo18b2o80bo84b2o95b2obo$231b2o71b2obobo16bobo181b3o77b2obobo$143b
2o163b2o200bo83b2o$144b2o365bo$143bo$b2o386b2o$2b2o386b2o$bo387bo$492b
2o$493b2o$492bo!


Fifth edit: I reduced the cost of xs20_0cahe8gzca2521 from 32 to 15 by applying a custom fast component to xs14_8k4r9a4zw1.

Code: Select all

x = 58, y = 53, rule = B3/S23
4bo$5b2o$4b2o3$43bo$41b2o$o41b2o$b2o6bo$2o5bobo$8b2o$17bo$18bo$12bo3b
3o36bo$10bobo42bobo$11b2o42b2o2$8bo$9b2o$8b2o9$32b2o$33bo$33bobo$34b2o
17$6b2o10b2o$5bobo11b2o$7bo10bo30b2o$49bobo$49bo!


Sixth edit: Here are some more fast components.

Code: Select all

x = 330, y = 333, rule = B3/S23
163bobo$163b2o146bo$148bobo13bo144b2o$149b2o146bobo10b2o$149bo148b2o$
9bo154bobo131bo15bobo$8bo155b2o148b2o$8b3o154bo149bo$4bo$2bobo$3b2o6$
8bo149bo149bo$9bo149bo149bo$7b3o147b3o147b3o$22bo149bo149bo$22bobo147b
obo147bobo$10b2o10b2o136b2o10b2o136b2o10b2o$9bobo147bobo147bobo$2o9bo
138b2o9bo138b2o9bo$b2o148b2o148b2o$o18b3o128bo18b3o128bo18b3o$19bo149b
o149bo$20bo149bo149bo123$163bobo$163b2o146bo$148bobo13bo144b2o$149b2o
146bobo10b2o$149bo148b2o$164bobo131bo15bobo$164b2o148b2o$165bo149bo6$
174bo149bo$172b2o5bo142b2o5bo$173b2o2b2o144b2o2b2o$158bo19b2o128bo19b
2o$159bo149bo$157b3o147b3o3$160b2o148b2o$159bobo147bobo$150b2o9bo138b
2o9bo$151b2o148b2o$150bo149bo4$176b2o148b2o$175b2o148b2o$177bo149bo
120$311bo$309b2o$297bobo10b2o$298b2o$298bo15bobo$314b2o$315bo6$324bo$
322b2o$323b2o$308bo$309bo$307b3o16bobo$326b2o$327bo$310b2o$309bobo$
300b2o9bo$301b2o$300bo5$325b2o$324b2o$326bo!
I am tentatively considering myself back.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » April 13th, 2023, 1:46 pm

I used fast components to stabilize a Herschel-preblock interaction into various still lives (and a spark coil variant).

Code: Select all

x = 2487, y = 1465, rule = B3/S23
2249bo$434bobo1810bobo$435b2o1811b2o$435bo2$35bo230bo208bobo9bo$33bobo
10bo220bo207b2o9bo$29bo4b2o8bobo218b3o208bo9b3o305bo1478bo$27bobo15b2o
398bo35bo310bobo10bo1466bo$28b2o269bo143bobo34bo307bo4b2o8bobo1466b3o$
298bo145b2o34b3o306bo14b2o$298b3o486b3o163bo$257bo693bobo10bo1083bobo$
258bo184bo503bo4b2o8bobo688bo174bo220b2o220bobo149bo$256b3o3bo181bo10b
o489bobo15b2o689b2o37bobo130bobo220bo221b2o151b2o$263bo10bo167b3o8bobo
150bo339b2o705b2o38b2o132b2o443bo150b2o$261b3o8bobo179b2o151b2o1073bo
11bo382bobo$273b2o331b2o1072b2o395b2o175bobo$595bo512bo572b2o150bo244b
o176b2o192bo$596b2o52bobo453bobo10bo533bo177bobo211bo209bo192bo$595b2o
53b2o446bobo6b2o8bobo170bo363bo177b2o28bobo181bo374bo26b3o$651bo447b2o
17b2o171b2o359b3o207b2o180b3o375b2o$1099bo190b2o571bo557b2o$2245bo$
623bo479bobo228bobo145bo344bo215bo202bo10bo$623bo480b2o228b2o147b2o
162bo180bo10bo204bo10bo188b3o8bobo161bo$623bo480bo230bo146b2o164bo10bo
166b3o8bobo202b3o8bobo200b2o162bo10bo$1646b3o8bobo178b2o214b2o362b3o8b
obo$67bo551b3o3b3o898bobo129b2o770b2o$66bo1240bo218b2o$66b3o554bo202bo
480bo219bo$623bo201bo466bo14bo$623bo201b3o462bobo$1282bo8b2o10b3o3b3o
187bo$985bo297b2o214bo$984bo297b2o23bo191bo$476bo507b3o320bo$295bo179b
o831bo187b3o3b3o$294bo180b3o156bo$84b2o208b3o336bo865bo$37b2o44b2o548b
3o863bo$36bobo46bo757b2o295bo358bo$38bo757b2o44b2o295bo$32bo762bobo46b
o294b3o176bo$32b2o750b2o11bo519bo$31bobo749bobo5bo210b2o313b3o$785bo5b
2o150bo11b2o44b2o1275bo$493b2o295bobo150b2o9bobo46bo506bo349bo215bo
200bo$312b2o132b2o44b2o161b3o284bobo11bo552bo170bo178bo215bo201b3o172b
o$265b2o44b2o132bobo46bo102bo57bo294bo558b3o167bo179b3o213b3o373bo$
264bobo46bo133bo149b2o57bo293b2o337b2o388b3o769b3o$67bo198bo171b3o155b
obo50b2o298bobo336bobo$66b2o189b3o180bo207b2o507b2o131bo182b2o$66bobo
190bo179bo210bo175bo283b2o44b2o181b3o130bobo$258bo566b2o282bobo46bo
180bo134bo28b2o$588b2o235bobo283bo228bo162bobo734b2o$587bobo7b2o734b2o
168bo318b2o214b2o199bobo$589bo6bobo386bo114b3o229b2o197b3o108b2o177bob
o213bobo201bo53b2o117b2o$598bo385b2o116bo231bo196bo109bobo179bo53b2o
160bo53b2o153b2o44b2o117bobo$476bo507bobo114bo430bo110bo53b2o131b2o44b
2o168b2o44b2o153bobo46bo118bo53b2o$295bo179b2o1048b2o123b2o44b2o131bob
o46bo166bobo46bo154bo172b2o44b2o$294b2o179bobo156bo837b3o49b2o123bobo
46bo132bo215bo194b2o177bobo46bo$294bobo336b2o839bo51bo124bo172b2o214b
2o201b2o178bo$633bobo829b2o6bo170b2o179b2o214b2o194b2o3bo173b2o$1140bo
323bobo178b2o172b2o3bo210b2o3bo197b2o177b2o$1139b2o325bo172b2o3bo175b
2o214b2o199bo173b2o3bo$1139bobo176bo321b2o177bo215bo376b2o$1317b2o320b
o771bo$1317bobo$2278bo$1510bo349bo215bo200b2o$1509b2o169bo178b2o214b2o
200bobo172bo$1509bobo167b2o178bobo213bobo373b2o$1679bobo769bobo227$
772bo$772bobo$772b2o5$429bo$429bo$429bo$774b2o$773bo2bob2o$572bo199bob
obobobo$423bobo145bobo197bo2bobobobo$422bob2o145bobo190b2o5bobo3b2ob2o
$422bo149bo190bo2bo5bo$423b3o338b2o489bo$426bob2o823bobo$423b2obobobo
6b2o140b2o2bo670b2o$423b2obobobo6bobo139bo2bobob2o$427b2ob2o5bo142bobo
bobobo$581b2obobobo$585b2ob2o$1266b2o$1260b2o3bo2bob2o$1260b2o4bobobob
o$1264bobobobobo$1264b2o3b2ob2o$776b2o$776b2o5$426b2o$426b2o$584b2o$
584b2o$593b2o$593bobo$593bo$1268b2o$1268b2o212$21b2o$20bo2bob2o$21bobo
bobo752b2o$20b2obobobo751bo2bob2o$24b2ob2o218b2ob2o526bobobobobo$33bob
o211bo3bo177bobo345bo2bobobobo$33b2o213b3o177bob2o345bobo3b2ob2o151b2o
$34bo393bo349bo13bobo143bo2bob2o$429b3o360b2o143bobobobobo$248b3o181bo
b2o357bo144b2obobobo$247bo3bob2o174b2obobobo148b2o2bo352b2ob2o$247bobo
bobobo173b2obobobo148bo2bobob2o357bobo$248b2obobobo177b2ob2o148bobobob
obo356b2o$252b2ob2o185bobo142b2obobobo357bo141b2o1132b2o$261bobo178b2o
147b2ob2o497bo2bob2o1128bobo$261b2o180bo156bobo489bobobobobo171b2o754b
2o199bobo$262bo337b2o490bobobobobo170bo2bob2o534bo214bo2bo200bo$601bo
491bo3b2ob2o170bobobobo353b2o177bobo213bobo200bo173b2o$23b2o1081bobo
161bobobobobo352bobo178bo215bo202b3o171bo$23b2o1081b2o162b2o3b2ob2o
184b2o166bo180b3o213b3o202bob2o166bo$782b2o323bo177bobo175bo2bob2o163b
3o180bob2o212bob2o195b2obobobo166b3o$782b2o501b2o175bobobobobo165bob2o
173b2obobobo208b2obobobo194b2obobobo169bob2o$1286bo174bo2bobobobo162b
2obobobo172b2obobobo208b2obobobo198b2ob2o165b2obobobo$1462b2o3b2ob2o
161b2obobobo176b2ob2o211b2ob2o206bobo158b2obobobo$941b2o533bobo158b2ob
2o184bobo213bobo199b2o163b2ob2o$941b2o533b2o168bobo177b2o214b2o201bo
172bobo$432b2o1043bo168b2o179bo215bo374b2o$251b2o179b2o1213bo771bo$
251b2o337b2o$590b2o2$1096b2o$1096b2o$1274b2o$1274b2o2$2234b2o$1466b2o
348b2o214b2o200b2o$1466b2o168b2o178b2o214b2o374b2o$1636b2o770b2o280$
23bo$21bobo289bo$22b2o287bobo$60bo251b2o740bo$60bobo287bo344bo356bobo$
60b2o288bobo340bobo357b2o$22bo327b2o342b2o395bo$20bobo289bo419bo358bob
o$21b2o287bobo419bobo356b2o$15bo295b2o419b2o319bo$13bobo289bo388bo356b
obo353bo$9bo4b2o46bo240bobo386bobo357b2o354bo288bo$7bobo51bo237bo4b2o
46bo340b2o351bo359b3o34bobo252bo$8b2o51b3o236bo50bo335bo356bobo396b2o
251b3o34bobo702bo$298b3o50b3o331bobo348bobo6b2o46bo350bo288b2o344bo
359bo$681bo4b2o46bo302b2o53bo641bo345bo356b3o34bobo$679bobo51bo303bo
54b3o314bo668b3o34bobo356b2o$680b2o51b3o671bobo289bo415b2o358bo$1041bo
bo364b2o287bobo416bo$1042b2o358bo295b2o740bo$1042bo357bobo289bo388bo
356bobo$1396bo4b2o46bo240bobo386bobo357b2o$1394bobo51bo237bo4b2o46bo
340b2o351bo$1395b2o51b3o236bo50bo335bo356bobo$1685b3o50b3o331bobo348bo
bo6b2o46bo$2068bo4b2o46bo302b2o53bo$2066bobo51bo303bo54b3o$2067b2o51b
3o$2428bobo$2429b2o$2429bo2$47bo$46bo290bo$46b3o287bo$336b3o739bo$719b
o357bo$718bo358b3o$718b3o$66b2o$66bobo287b2o$66bo289bobo$356bo740b2o
335bo$59bo678b2o357bobo333bo290bo$17b2o39b2o289bo388bobo356bo335b3o
287bo$16bobo39bobo246b2o39b2o388bo984b3o739bo$18bo287bobo39bobo739bo
1015bo357bo$12bo282b2o11bo422bo316b2o39b2o1014bo358b3o$12b2o280bobo5bo
374bo11b2o39b2o315bobo39bobo1013b3o$11bobo282bo5b2o373b2o9bobo39bobo
316bo403b2o$301bobo372bobo11bo762bobo287b2o$684bo353b3o412bo289bobo$
684b2o354bo702bo740b2o$683bobo353bo406bo678b2o357bobo$1404b2o39b2o289b
o388bobo356bo$47bo1355bobo39bobo246b2o39b2o388bo$46b2o289bo1067bo287bo
bo39bobo739bo$46bobo287b2o1061bo282b2o11bo422bo316b2o39b2o$336bobo739b
o320b2o280bobo5bo374bo11b2o39b2o315bobo39bobo$719bo357b2o319bobo282bo
5b2o373b2o9bobo39bobo316bo$718b2o357bobo608bobo372bobo11bo$718bobo
1350bo353b3o$2071b2o354bo$2070bobo353bo2$1434bo$1433b2o289bo$1433bobo
287b2o$1723bobo739bo$2106bo357b2o$2105b2o357bobo$2105bobo232$283bo$
283bobo$283b2o6$291b2o$291bo$285b2o6bo1376bo$284bo2bob4obo1375bobo$
283bobobobo4bo1375b2o$282bo2bobobobobo$275b2o5bobo3b2ob2o$274bo2bo5bo
1392b2o$275b2o1398bobo$1675bo$1676b4o$1678bo$1672b2o6bo$1671bo2bob4obo
$1670bobobobo4bo$1669bo2bobobobobo$1662b2o5bobo3b2ob2o$1661bo2bo5bo$
1662b2o2$287b2o$287b2o9$1674b2o$1674b2o214$7b2o$7bo289b2o$b2o6bo287bo$
o2bob4obo280b2o6bo738b2o$bobobo4bo279bo2bob4obo378b2o357bo$2obobobobo
279bobobobo4bo378bo352b2o6bo$4b2ob2o279bo2bobobobobo373b2o6bo349bo2bob
4obo$13bobo272bobo3b2ob2o373bo2bob4obo347bobobobo4bo350b2o$13b2o274bo
13bobo365bobobobo4bo347bobobobobobo350bobo288b2o$14bo288b2o367b2obobob
obo349bo3b2ob2o351bo289bobo$304bo371b2ob2o363bobo345b4o285bo741b2o$
685bobo356b2o348bo287b4o378b2o356bobo$685b2o358bo342b2o6bo287bo378bobo
356bo$686bo700bo2bob4obo280b2o6bo376bo359b4o$1388bobobo4bo279bo2bob4ob
o376b4o357bo$1387b2obobobobo279bobobobo4bo378bo352b2o6bo$1391b2ob2o
279bo2bobobobobo373b2o6bo349bo2bob4obo$1400bobo272bobo3b2ob2o373bo2bob
4obo347bobobobo4bo$1400b2o274bo13bobo365bobobobo4bo347bobobobobobo$
1401bo288b2o367b2obobobobo349bo3b2ob2o$3b2o1686bo371b2ob2o363bobo$3b2o
288b2o1777bobo356b2o$293b2o1777b2o358bo$1034b2o1037bo$675b2o357b2o$
675b2o5$1390b2o$1390b2o288b2o$1680b2o$2421b2o$2062b2o357b2o$2062b2o!
I suspect that more stabilizations are possible.
Last edited by dvgrn on April 13th, 2023, 2:22 pm, edited 1 time in total.
Reason: fix an accidental explosion caused by a misplaced block overlapping the correct block
I am tentatively considering myself back.

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Thread for your fast components

Post by GUYTU6J » July 23rd, 2023, 9:11 am

GUYTU6J wrote:
April 22nd, 2023, 8:14 am
To me it has been always interesting that a house-tie-boat induction coil can be made in only 3 gliders, even since my early days of practising synthesis. Inspired by soups, the key active region may be perturbed with one or two gliders to give a ship, fishhook or aircraft carrier for the tie.

Code: Select all

x = 109, y = 26, rule = LifeHistory
2.A6.A.A30.A6.A.A30.A6.A.A$A.A6.2A29.A.A6.2A29.A.A6.2A$.2A7.A30.2A7.A
30.2A7.A2$6.A.A17.A19.A.A17.A19.A.A17.A$7.2A17.A.A18.2A17.A.A18.2A17.
A.A$7.A4.2D12.2A19.A4.2D12.2A19.A4.2D12.2A$12.D.D37.D.D37.D.D$14.D39.
D39.D$12.D.D27.C9.D.D37.D.D$12.2D29.C8.2D38.2D$10.2D10.2A17.3C6.2D10.
2A26.2D10.2A$9.D.D10.A.A26.D10.A.A23.D2.D10.A.A$9.2D11.A25.3D11.A25.
2D12.A$48.D33.C.C$83.2C$83.C$2C$.2C$C2$93.2C$92.2C$42.3C49.C$44.C$43.
C!
These synchronized reactions are strictly cheaper than the staged routes via stable intermediate house-tie-boat before this update, perhaps matching the characteristics of fast components.

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs24_xrhe0ehrz653 costs 7 gliders (true).
#CLL state-numbering golly
x = 74, y = 22, rule = B3/S23
2bo$obo$b2o2$26bo$8b2o16bobo$9b2o15b2o39b2o3b2o$8bo58bobobobo$69bo
bo$11b3o53bobobobo$11bo55b2o3b2o$12bo9b2o41b2o$22bobo39bobo$22bo
42bo$61bo$62b2o$61b2o3$60b2o$59bobo$61bo!

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs25_rhe0ehrzy3354c costs 8 gliders (true).
#CLL state-numbering golly
x = 77, y = 17, rule = B3/S23
2bo$obo$b2o2$26bo$8b2o16bobo$9b2o15b2o42b2o3b2o$8bo61bobobobo$60bo
11bobo$11b3o47bo8bobobobo$11bo47b3o8b2o3b2o$12bo9b2o44b2o$22bobo
42bobo$22bo45bo$59bo5bo$60b2o2b2o$59b2o3bobo!

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs24_rhe0ehrzy33146 costs 10 gliders (true).
#CLL state-numbering golly
x = 81, y = 21, rule = B3/S23
2bo$obo$b2o2$26bo38bo$8b2o16bobo37b2o$9b2o15b2o37b2o7b2o3b2o$8bo
65bobobobo$63bo12bobo$11b3o47bobo10bobobobo$11bo50b2o10b2o3b2o$12b
o9b2o48b2o$22bobo46bobo$22bo36b3o3b2o5bo$61bo4b2o$60bo4bo3$69b3o$
71bo$70bo!
There is one more fast component taken from xs14_djozx3146 for a tie shillelagh...

Code: Select all

x = 31, y = 22, rule = LifeHistory
4.A6.A.A$2.A.A6.2A$3.2A7.A2$8.A.A17.A$9.2A17.A.A$9.A4.2D12.2A$14.D.D$
16.D$14.D.D$14.2D$12.2D10.2A$9.2D2.D10.A.A$9.D.2D11.A2$.C$.2C$C.C2$
12.2C$12.C.C$12.C!
... which is also one glider cheaper than the corresponding slow component.

Code: Select all

#C [[ GRID MAXGRIDSIZE 14 THEME Catagolue ]]
#CSYNTH xs26_rhe0ehrzy335426 costs 8 gliders (true).
#CLL state-numbering golly
x = 75, y = 25, rule = B3/S23
2bo$obo$b2o2$26bo$8b2o16bobo$9b2o15b2o40b2o3b2o$8bo59bobobobo$70bo
bo$11b3o54bobobobo$11bo56b2o3b2o$12bo9b2o42b2o$22bobo40bobo$22bo
38bo4bo$62b2o$61b2o4$59b3o$61bo$60bo$63b3o$63bo$64bo!
As the particular tie-boat formation is common, these four reactions shall be eligible for being appended to the fast component collection. Note that the conversion to fishhook has three variants of different clearance, one taken from xs13_0g8o6413z23 and the other from xs15_312kozy131e8:

Code: Select all

x = 109, y = 26, rule = LifeHistory
2.A6.A.A30.A6.A.A30.A6.A.A$A.A6.2A29.A.A6.2A29.A.A6.2A$.2A7.A30.2A7.A
30.2A7.A2$6.A.A17.A19.A.A17.A19.A.A17.A$7.2A17.A.A18.2A17.A.A18.2A17.
A.A$7.A4.2D12.2A19.A4.2D12.2A19.A4.2D12.2A$12.D.D37.D.D37.D.D$14.D39.
D39.D$2.C9.D.D37.D.D37.D.D$3.C8.2D38.2D38.2D$.3C6.2D10.2A26.2D10.2A
26.2D10.2A$11.D10.A.A13.C12.D10.A.A26.D10.A.A$8.3D11.A13.C.C9.3D11.A
25.3D11.A$8.D28.2C9.D39.D5$51.C$50.2C40.2C$50.C.C39.C.C$92.C$2.3C74.
2C$4.C73.C.C$3.C76.C!
Below I will list several applications for demonstration.

Most importantly, the xs14_djozx3146 synthesis above implies that trans-carrier-tie (xs12_08o6413z32) costs 6G now, transferring to a total of 1979 still lives:

Code: Select all

x = 149, y = 67, rule = B3/S23
46bo89bo$45bo89bo$45b3o87b3o4$o$b2o$2o3$30bo$30bobo$30b2o86bobo$119b2o
3bo$24bo89bo4bo3bo$25bo6b2o81bo7b3o$23b3o5b2o80b3o$33bo42$93bo$93b2o$
92bobo$147b2o$62bo83b2o$61b2o85bo$61bobo!
The left synthesis is three-directional, and the right synthesis incorporates a two-directional carrier tie boat (xs11_08o652z32) edge-shooter trivially obtained by flipping the 2-glider teardrop. Previously there is a much less spacious 7-glider synthesis via transformation of a beacon.

From boat on canoe (xs13_wg8o652z65) synthesis to ship on canoe (xs14_wg8o653z65), xs14_xok213zc93, xs15_312kozy131e8, and xs16_djozx358go:

Code: Select all

x = 269, y = 30, rule = B3/S23
27bo59bo59bo59bo59bo$26bo59bo59bo59bo59bo$26b3o57b3o57b3o57b3o57b3o2$
2bo6bobo50bo6bobo50bo6bobo50bo6bobo50bo6bobo$obo6b2o49bobo6b2o49bobo6b
2o49bobo6b2o49bobo6b2o$b2o7bo50b2o7bo50b2o7bo50b2o7bo50b2o7bo2$6bobo
57bobo57bobo57bobo57bobo$7b2o58b2o58b2o58b2o58b2o$7bo59bo59bo59bo59bo
3$182bo$183bo$181b3o$11b3o57b3o57b3o57b3o57b3o$13bo59bo59bo59bo59bo$
12bo59bo49bobo7bo59bo59bo$123b2o114bo$123bo115b2o$60b2o176bobo$61b2o$
60bo189b2o$250bobo$133b2o115bo$132b2o$134bo47b3o$184bo$183bo!
From long canoe on boat (xs14_xg8o652zca1) to ship on long canoe (xs15_xg8o653zca1), xs15_xg8o6413zca1, xs16_178cggzy01248go, and xs17_xg8o65123zca1:

Code: Select all

x = 266, y = 32, rule = B3/S23
23bobo57bobo57bobo57bobo57bobo$23b2o58b2o58b2o58b2o58b2o$24bo59bo59bo
59bo59bo$168bo$166bobo$167b2o$o13bo45bo13bo45bo13bo45bo13bo45bo13bo$b
2o9bobo46b2o9bobo33bo12b2o9bobo46b2o9bobo46b2o9bobo$2o11b2o45b2o11b2o
34b2o9b2o11b2o45b2o11b2o45b2o11b2o$108b2o$17b3o57b3o57b3o57b3o57b3o$
17bo59bo59bo59bo59bo$18bo59bo59bo59bo59bo5$3o57b3o57b3o57b3o57b3o$2bo
59bo59bo59bo59bo$bo59bo59bo59bo59bo3$224b2o$46bo178b2o$46b2o176bo$45bo
bo$248b3o$132bo115bo$131b2o116bo$131bobo34b2o$167bobo$169bo!
From long shillelagh head tie boat (xs14_g8o652z1ac) to ?-long shillelagh on ship (xs15_g8o653z1ac), xs15_g8o6413z1ac, and xs16_0ggca23z3kp (but not xs17_djozx354213 owing to some spark):

Code: Select all

x = 200, y = 27, rule = B3/S23
18bo59bo59bo59bo$17bo59bo59bo59bo$17b3o57b3o57b3o57b3o4$2bo7bo51bo7bo
51bo7bo51bo7bo$obo8b2o47bobo8b2o47bobo8b2o47bobo8b2o$b2o7b2o49b2o7b2o
49b2o7b2o49b2o7b2o5$8b2o58b2o58b2o58b2o$9b2o58b2o58b2o58b2o$8bo59bo59b
o59bo$16b2o58b2o58b2o42bobo13b2o$15b2o58b2o58b2o44b2o12b2o$17bo59bo59b
o43bo15bo3$64b2o63b2o$63bobo62bobo$65bo64bo$132b3o59b3o$132bo61bo$133b
o61bo!
This one is a bit different due to a "glider-catching" boat formation incompatible with the ship reaction. From boat on very long canoe (xs15_256o8gzy212ko) to cis-carrier tie very long canoe (xs16_31248gzy123c4go), xs17_y1g84213zggkc32z1 and xs18_31248gzy123ckg8o:

Code: Select all

x = 204, y = 32, rule = B3/S23
19bo59bo59bo59bo$18bo59bo59bo59bo$18b3o57b3o57b3o57b3o9$bo59bo59bo59bo
$2bo59bo59bo59bo$3o57b3o57b3o57b3o2$14b2o58b2o58b2o58b2o$14bobo57bobo
57bobo57bobo$14bo59bo59bo59bo$21b3o57b3o31bo25b3o57b3o$21bo59bo31bobo
25bo59bo$12b3o7bo36bobo10b3o7bo31b2o16b3o7bo49b3o7bo$14bo45b2o12bo59bo
59bo$13bo46bo12bo59bo59bo$176bo$176b2o$175bobo2$130bo58b2o$129b2o58bob
o$72b2o55bobo57bo$71b2o$73bo!
This "glider-catching" is also seen in xs14_xoka52z253, xs14_xoge13z253, xs15_xok21e8z253, and (somewhat oddly) xs15_2552sgz0253.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » July 26th, 2023, 1:38 am

GUYTU6J wrote:
July 23rd, 2023, 9:11 am
There is one more fast component taken from xs14_djozx3146 for a tie shillelagh...

Code: Select all

x = 31, y = 22, rule = LifeHistory
4.A6.A.A$2.A.A6.2A$3.2A7.A2$8.A.A17.A$9.2A17.A.A$9.A4.2D12.2A$14.D.D$
16.D$14.D.D$14.2D$12.2D10.2A$9.2D2.D10.A.A$9.D.2D11.A2$.C$.2C$C.C2$
12.2C$12.C.C$12.C!
You missed that the bridge snake and bridge carrier slow components can be used as fast add siamsese snake and add siamese carrier components.

Code: Select all

x = 1700, y = 878, rule = B3/S23
892bo$892bobo$892b2o$16bo59bo139bo59bo139bo59bo339bo59bo$17bo56b2o141b
o56b2o141bo56b2o341bo56b2o$15b3o57b2o138b3o57b2o15bo122b3o57b2o338b3o
57b2o$291bo$21bo199bo69b3o127bo70bo328bo$22b2o198b2o198b2o67bo330b2o$
9bobo9b2o69bo116bobo9b2o186bobo9b2o68b3o115bobo197bobo9b2o186bobo$10b
2o79bo118b2o198b2o198b2o198b2o198b2o78bobo$10bo80b3o116bo199bo199bo24b
o174bo199bo79b2o$5bobo197bobo197bobo197bobo28bo168bobo197bobo83bo$6b2o
198b2o198b2o198b2o26b3o169b2o198b2o$6bo199bo199bo199bo199bo199bo2$15bo
199bo199bo199bo199bo199bo13bo13bo$13bobo197bobo197bobo197bobo197bobo
197bobo14b2o9bobo$14b2o198b2o198b2o198b2o198b2o198b2o13b2o11b2o4$651bo
$649bobo$650b2o2$657bo$648b2o6bo$649b2o5b3o$648bo29$1084b3o$1084bo$
1085bo4$287b3o$287bo741b3o$288bo198b3o336b2o203bo$487bo337bobo202bo$
87b3o398bo338bo$87bo$88bo2$18b3o197b3o197b3o197b3o197b3o197b3o$20bo
199bo199bo199bo199bo199bo$9b2o8bo189b2o8bo189b2o8bo189b2o8bo189b2o8bo
189b2o8bo$10b2o63b2o133b2o63b2o133b2o63b2o133b2o63b2o133b2o63b2o133b2o
63b2o$9bo65bobo131bo65bobo131bo65bobo131bo65bobo131bo65bobo131bo65bobo
$75bo199bo199bo199bo199bo199bo123$892bo804bo$892bobo802bobo$892b2o803b
2o$16bo199bo199bo399bo$17bo4bobo192bo4bobo192bo4bobo392bo4bobo462bo$9b
o5b3o5b2o184bo5b3o5b2o67bo116bo5b3o5b2o384bo5b3o5b2o462bobo199bo$10b2o
11bo186b2o11bo67bo118b2o11bo386b2o11bo463b2o200bobo202bo$9b2o198b2o80b
3o115b2o81bo316b2o678b2o203bobo$491bo112bobo397bobo197bobo197bobo197bo
bo87b2o$66bo25bo173bo199bo24b3o111b2o259bo138b2o198b2o12bo185b2o12bo
66bo118b2o12bo$64b2o25bo172b2o198b2o139bo258b2o139bo84bobo112bo11bobo
63bo121bo11bobo64b2o119bo11bobo$10bo54b2o24b3o116bo54b2o143bo54b2o168b
o174bo54b2o223b2o126b2o61b2o135b2o65b2o131b2o$8bobo197bobo197bobo225bo
171bobo280bo190b2o$9b2o198b2o198b2o223b3o172b2o826bo$1635bobo$607bobo
397bobo197bobo197bobo197bobo26b2o$608b2o398b2o19bo13bo164b2o198b2o198b
2o$608bo399bo21b2o9bobo164bo199bo199bo$1029b2o11b2o4$651bo$649bobo$
650b2o2$657bo$648b2o6bo$649b2o5b3o$648bo12$41b2o198b2o198b2o198b2o198b
2o198b2o198b2o198b2o198b2o$40bo2bo196bo2bo196bo2bo196bo2bo196bo2bo196b
o2bo196bo2bo196bo2bo196bo2bo$41bobo197bobo197bobo197bobo197bobo197bobo
197bobo197bobo197bobo$42bo199bo199bo199bo199bo199bo199bo199bo199bo14$
1084b3o$1084bo$1085bo554bo$76b2o198b2o198b2o398b2o762b2o50b2o$75b2o
198b2o198b2o131b2o265b2o131b2o198b2o198b2o198b2o29bobo49b2o$77bo199bo
199bo129bobo267bo129bobo197bobo197bobo197bobo83bo$287b3o319bo399bo199b
o199bo199bo$287bo741b3o454b2o$288bo198b3o336b2o203bo454bobo$487bo337bo
bo202bo455bo$87b3o398bo338bo$87bo1136b2o$88bo1136b2o56b2o207b2o$1224bo
57b2o208bobo$1284bo207bo6$1693bo$1692b2o$1692bobo120$892bo$892bobo$
892b2o$16bo59bo139bo59bo139bo59bo339bo59bo$17bo56b2o141bo56b2o141bo56b
2o341bo56b2o$15b3o57b2o138b3o57b2o15bo122b3o57b2o338b3o57b2o$291bo$21b
o199bo69b3o127bo70bo328bo$8bo13b2o184bo13b2o184bo13b2o67bo116bo199bo
13b2o184bo$9bo11b2o69bo116bo11b2o186bo11b2o68b3o115bo199bo11b2o186bo$
7b3o81bo115b3o197b3o197b3o197b3o197b3o80bobo$91b3o541bo454b2o$636bo
454bo$634b3o3$15bo199bo199bo199bo199bo199bo13bo13bo$13bobo197bobo197bo
bo197bobo197bobo197bobo14b2o9bobo$14b2o198b2o198b2o198b2o198b2o198b2o
13b2o11b2o4$651bo$649bobo$650b2o2$657bo$648b2o6bo$649b2o5b3o$648bo29$
1084b3o$1084bo$1085bo4$b2o198b2o84b3o111b2o198b2o198b2o198b2o$obo5b3o
189bobo5b3o76bo112bobo5b3o189bobo5b3o189bobo5b3o189bobo5b3o18b3o$2bo7b
o191bo7bo77bo113bo7bo76b3o112bo7bo191bo7bo15b2o174bo7bo20bo$9bo199bo
199bo77bo121bo199bo15bobo181bo20bo$87b3o398bo338bo$87bo$88bo2$18b3o
197b3o197b3o197b3o197b3o197b3o$20bo199bo199bo199bo199bo199bo$19bo199bo
199bo199bo199bo199bo$75b2o198b2o198b2o198b2o198b2o198b2o$75bobo197bobo
197bobo197bobo197bobo197bobo$75bo199bo199bo199bo199bo199bo126$9bo199bo
199bo$7bobo197bobo197bobo$8b2o198b2o82bo115b2o$16bo50bo148bo50bo23bo
124bo50bo$14bobo50bobo144bobo50bobo21b3o120bobo50bobo22bo$15b2o50b2o
146b2o50b2o146b2o50b2o22bo$92bo398b3o$91bo$91b3o9$9bo44bo154bo44bo154b
o44bo$10bo41b2o156bo41b2o156bo41b2o$8b3o42b2o153b3o42b2o153b3o42b2o37$
23bo199bo199bo$23b2o198b2o198b2o$22bobo197bobo197bobo2$77b2o198b2o198b
2o$77bobo197bobo7b3o187bobo$77bo199bo9bo189bo$288bo198b3o$50bo199bo
199bo36bo$49b2o36b3o159b2o198b2o37bo$49bobo35bo161bobo197bobo$88bo133$
1009bo$1007bobo$1008b2o2$1070bobo$1011bobo56b2o$1012b2o57bo$1012bo77bo
bo$1090b2o$1091bo4$1015bo13bo13bo$1013bobo14b2o9bobo$1014b2o13b2o11b2o
15$257b2o$256bobo$52b2o198b2o2bo195b2o3b2o$52bobo197bobobobo193bobobob
o$37b2o15bo2b2o178b2o15bo2b2o178b2o15bobo$36bo2bo12bobobobo177bo2bo12b
obo181bo2bo12bobobobo$36bo2bo12b2o2bo179bo2bo12b2o182bo2bo12b2o3b2o$
37b2o5b2o4b2o4bobo178b2o5b2o4b2o185b2o5b2o4b2o$44bo2b2o2bo5b2o185bo2b
2o2bo192bo2b2o2bo$46b2ob2o195b2ob2o195b2ob2o5$44b2o198b2o198b2o$44bobo
197bobo197bobo$44bo199bo199bo9$1084b3o$1084bo$1085bo5$1029b3o$1031bo$
1030bo5$1018b3o$1020bo$1019bo$1075b2o$1075bobo$1075bo!
I am tentatively considering myself back.

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Thread for your fast components

Post by GUYTU6J » July 26th, 2023, 9:26 am

MathAndCode wrote:
July 26th, 2023, 1:38 am
You missed that the bridge snake and bridge carrier slow components can be used as fast add siamsese snake and add siamese carrier components.
And you missed that the slow components are slightly less expensive than before — if clearance permits, the bridge carrier costs 4G and the bridge snake costs 4G+1G:

Code: Select all

x = 81, y = 28, rule = LifeHistory
45.A17.A$46.A14.2A$44.3A15.2A2$50.A28.A$10.A6.A.A31.2A25.A$8.A.A6.2A
31.2A26.3A$9.2A7.A$3.C.C$4.2C8.A.A17.A$4.C10.2A17.A.A$15.A4.2D12.2A
24.2D$20.D.D37.D.D$22.D39.D$8.C11.D.D37.D.D$6.C.C11.2D38.2D$7.2C3.2D
4.2D10.2A13.2C11.2D$12.D2.2D2.D10.A.A13.2C4.2D.2D2.D$14.2D.2D11.A14.C
4.2CD.2D.2D$3.C46.C.C$3.2C45.C$2.C.C69.3A$74.A$75.A$46.2C8.3C$2C43.C.
C8.C$.2C44.C9.C$C!
Apparently, any bridge-making slow components with a blinker-like front end would work. For instance, my 6-glider bridge-domino-behind-eater-tail synthesis component and my 6-glider bridge-fishhook-chin synthesis component can yield a bridge fishhook tail and a siamese fishhook head respectively.

Code: Select all

x = 102, y = 39, rule = LifeHistory
68.A15.A$69.A12.2A$67.3A13.2A2$12.A6.A.A51.A26.A$10.A.A6.2A53.2A23.A$
7.C3.2A7.A52.2A24.3A$8.C$6.3C7.A.A17.A20.C$17.2A17.A.A19.C$17.A4.2D
12.2A18.3C23.2D$22.D.D57.D.D$24.D59.D$22.D.D57.D.D$8.C13.2D43.2C5.2D
6.2D$3.C5.C3.2D5.2D10.2A32.C.C6.D4.2D$4.C2.3C3.D.D.2D2.D10.A.A33.C6.D
.2D2.D$2.3C10.D.D.2D11.A37.2C4.2D.2D$15.2D42.C10.C.C$60.C9.C24.3A$14.
2C42.3C34.A$14.C.C45.3C31.A$14.C49.C$63.C3$6.C$.C4.2C$.2C2.C.C$C.C7$
51.2C$50.C.C$52.C!
Martin Grant's bridge domino bridge snake addition and my bridge domino bridge carrier addition are both applicable but more costly than those slow components I quoted above.

Code: Select all

x = 106, y = 47, rule = B3/S23
11bo16bobo$9bobo16b2o57bo$10b2o17bo41bobo12bo$72b2o12b3o$15bobo27bo19b
obo4bo$3bobo10b2o27bobo18b2o10bo$4b2o10bo28b2o19bo12bo23bobo$4bo72b3o
23b2o$104bo8$72bobo$73b2o$73bo$100bo$69b3o27b2o$41b2o28bo3bo4b3o16bobo
$41bobo26bo3b2o$41bo32bobo2$2o$b2o$o3$17b3o$17bo$18bo2$8b2o6b2o$9b2o6b
2o$8bo7bo8$20b2o$20bobo$20bo!
See below for an example that does not work: an extra cell is born at (22, 18) at generation 40, removing which would give the desired feather-containing result.

Code: Select all

#C [[ STOP 40 ]]
x = 48, y = 39, rule = B3/S23
11bo17bo$12b2o15bobo$11b2o16b2o2$2bo15bo28bo$obo13bobo26b2o$b2o14b2o
27b2o9$32bobo$32b2o$33bo2$14bobo$15b2o$15bo26b2o$41b2o$18b3o22bo$20bo$
19bo9$7bo$7b2o$6bobo21bo$29b2o$29bobo!

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » July 27th, 2023, 11:17 pm

GUYTU6J wrote:
July 26th, 2023, 9:26 am
MathAndCode wrote:
July 26th, 2023, 1:38 am
You missed that the bridge snake and bridge carrier slow components can be used as fast add siamsese snake and add siamese carrier components.
And you missed that the slow components are slightly less expensive than before — if clearance permits, the bridge carrier costs 4G and the bridge snake costs 4G+1G:

Code: Select all

x = 81, y = 28, rule = LifeHistory
45.A17.A$46.A14.2A$44.3A15.2A2$50.A28.A$10.A6.A.A31.2A25.A$8.A.A6.2A
31.2A26.3A$9.2A7.A$3.C.C$4.2C8.A.A17.A$4.C10.2A17.A.A$15.A4.2D12.2A
24.2D$20.D.D37.D.D$22.D39.D$8.C11.D.D37.D.D$6.C.C11.2D38.2D$7.2C3.2D
4.2D10.2A13.2C11.2D$12.D2.2D2.D10.A.A13.2C4.2D.2D2.D$14.2D.2D11.A14.C
4.2CD.2D.2D$3.C46.C.C$3.2C45.C$2.C.C69.3A$74.A$75.A$46.2C8.3C$2C43.C.
C8.C$.2C44.C9.C$C!
Thank you.It turns out that the snake alternative works for some of the glider-catching examples, as do some of the other fast components in your post.

Code: Select all

x = 1888, y = 1468, rule = B3/S23
18bo199bo199bo$19bo4bobo192bo4bobo192bo4bobo1460bo$17b3o5b2o190b3o5b2o
67bo122b3o5b2o1064bo393b2o$25bo199bo67bo131bo1065bobo392b2o$293b3o198b
o996b2o$493bo$94bo398b3o925bo66bo385bo$93bo1325bobo64b2o386bobo$93b3o
541bo782b2o65b2o385b2o$638bo$636b3o2$1877bo7bo$1877bobo4bo$1877b2o5b3o
5$653bo$651bobo$652b2o2$659bo$650b2o6bo$651b2o5b3o$650bo32$18b2o58b2o
138b2o58b2o138b2o58b2o138b2o798b2o398b2o$19b2o56b2o140b2o56b2o140b2o
56b2o140b2o798b2o398b2o$18bo46b2o12bo138bo46b2o12bo138bo46b2o12bo138bo
46b2o751bo46b2o351bo46b2o$65bobo197bobo21b3o173bobo197bobo797bobo397bo
bo$65bo199bo23bo175bo199bo799bo22b2o375bo11b2o$290bo198b3o996bobo385b
2o$489bo998bo389bo$89b3o398bo$19b2o50b3o15bo129b2o50b3o145b2o50b3o145b
2o50b3o745b2o50b3o345b2o50b3o$18bobo50bo18bo127bobo50bo146bobo50bo146b
obo50bo746bobo50bo22b2o322bobo50bo$20bo51bo147bo51bo147bo51bo147bo51bo
747bo51bo21bobo323bo51bo$1494bo161$259b2o$258bobo$54b2o198b2o2bo195b2o
3b2o996b2o$54bobo197bobobobo193bobobobo194b2o801bo$56bo2b2o195bo2b2o
195bobo197bo798b3o$54bobobobo193bobo197bobobobo193bo799bo399bo$54b2o2b
o195b2o198b2o3b2o193b2o798b2o398b3o$52b2o4bobo191b2o198b2o198b2o798b2o
398b2o3bo$46b2ob2o2bo5b2o185b2ob2o2bo192b2ob2o2bo192b2ob2o2bo792b2ob2o
2bo392b2ob2o2bo2bobo$39b2o5bob2ob2o186b2o5bob2ob2o186b2o5bob2ob2o186b
2o5bob2ob2o786b2o5bob2ob2o386b2o5bob2ob2o3bobo$38bo2bo196bo2bo196bo2bo
196bo2bo796bo2bo396bo2bo15bo$39b2o198b2o198b2o198b2o798b2o398b2o6$47b
3o197b3o197b3o197b3o797b3o397b3o$47bo199bo199bo199bo799bo399bo$48bo
199bo199bo199bo799bo399bo148$894bo$894bobo$894b2o$18bo199bo199bo399bo$
19bo4bobo192bo4bobo192bo4bobo392bo4bobo$17b3o5b2o190b3o5b2o67bo122b3o
5b2o390b3o5b2o$12bo12bo186bo12bo67bo118bo12bo186bo199bo12bo186bo$13b2o
198b2o78b3o117b2o79bo118b2o198b2o198b2o$12b2o198b2o198b2o79bo118b2o
198b2o198b2o$94bo398b3o$93bo998bobo$93b3o541bo454b2o$16bo199bo199bo
199bo21bo177bo199bo76bo$17bo199bo199bo199bo18b3o178bo199bo$15b3o197b3o
197b3o197b3o197b3o197b3o2$1031bo13bo$1032b2o9bobo$1031b2o11b2o4$653bo$
651bobo$652b2o2$659bo$650b2o6bo$651b2o5b3o$650bo29$1086b3o$1086bo$
1087bo$78b2o198b2o198b2o398b2o$77b2o198b2o198b2o398b2o$79bo199bo199bo
399bo$289b3o$289bo741b3o$290bo198b3o336b2o203bo$489bo337bobo202bo$89b
3o398bo338bo$11b2o76bo121b2o198b2o198b2o198b2o198b2o$12b2o76bo121b2o
198b2o198b2o198b2o198b2o$11bo199bo199bo199bo199bo199bo3$9bo199bo199bo
199bo199bo199bo$9b2o198b2o198b2o198b2o198b2o198b2o$8bobo197bobo197bobo
197bobo197bobo197bobo124$894bo804bo$894bobo802bobo$894b2o803b2o$18bo
199bo199bo399bo$19bo4bobo192bo4bobo192bo4bobo392bo4bobo462bo$17b3o5b2o
190b3o5b2o67bo122b3o5b2o390b3o5b2o462bobo199bo$25bo199bo67bo131bo399bo
463b2o200bobo202bo$293b3o198bo996b2o203bobo$6bobo197bobo197bobo84bo
112bobo197bobo197bobo197bobo197bobo197bobo87b2o$7b2o85bo112b2o198b2o
84b3o111b2o198b2o198b2o198b2o12bo185b2o12bo66bo118b2o12bo$7bo85bo113bo
199bo199bo199bo199bo84bobo112bo11bobo63bo121bo11bobo64b2o119bo11bobo$
93b3o541bo454b2o126b2o61b2o135b2o65b2o131b2o$638bo454bo190b2o$636b3o2$
9bobo197bobo197bobo197bobo197bobo197bobo197bobo197bobo197bobo$10b2o
198b2o198b2o198b2o198b2o198b2o19bo13bo164b2o198b2o198b2o29bobo$10bo
199bo199bo199bo199bo199bo21b2o9bobo164bo199bo199bo31b2o$1031b2o11b2o
596bo4$653bo$651bobo$652b2o2$659bo$650b2o6bo$651b2o5b3o$650bo12$43b2o
198b2o198b2o198b2o198b2o198b2o198b2o198b2o198b2o$42bo2bo196bo2bo196bo
2bo196bo2bo196bo2bo196bo2bo196bo2bo196bo2bo196bo2bo$43bobo197bobo197bo
bo197bobo197bobo197bobo197bobo197bobo197bobo$44bo199bo199bo199bo199bo
199bo199bo199bo199bo14$1086b3o$1086bo$1087bo$78b2o198b2o198b2o398b2o
814b2o$10b2o65b2o131b2o65b2o131b2o65b2o131b2o198b2o65b2o131b2o198b2o
198b2o198b2o81b2o$9bobo67bo129bobo67bo129bobo67bo129bobo197bobo67bo
129bobo197bobo197bobo197bobo26b2o55bo$11bo199bo77b3o119bo199bo199bo
199bo199bo199bo199bo25bobo$289bo741b3o454b2o149bo$290bo198b3o336b2o
203bo454bobo$489bo337bobo202bo455bo$89b3o398bo338bo$89bo1136b2o$90bo
1136b2o56b2o207b2o$1226bo57b2o208bobo$1286bo207bo6$1695bo$1694b2o$
1694bobo123$18bo199bo199bo$19bo4bobo192bo4bobo192bo4bobo$17b3o5b2o190b
3o5b2o67bo122b3o5b2o$14bo10bo188bo10bo67bo120bo10bo188bo399bo$12bobo
197bobo78b3o116bobo79bo117bobo397bobo$13b2o198b2o198b2o78bo119b2o398b
2o$94bo398b3o$93bo998bobo$93b3o541bo454b2o$638bo454bo$636b3o$15bo199bo
199bo199bo399bo$10bo2bobo194bo2bobo194bo2bobo194bo2bobo394bo2bobo$8bob
o3b2o192bobo3b2o192bobo3b2o192bobo3b2o392bobo3b2o15bo13bo$9b2o198b2o
198b2o198b2o398b2o21b2o9bobo$1031b2o11b2o4$653bo$651bobo$652b2o2$659bo
$650b2o6bo$651b2o5b3o$650bo29$1086b3o$1086bo$1087bo$78b2o198b2o198b2o$
77b2o198b2o198b2o$79bo199bo199bo$289b3o$289bo741b3o$290bo198b3o541bo$
489bo542bo$89b3o398bo$89bo$90bo$71b3o197b3o197b3o197b3o397b3o$71bo199b
o199bo199bo399bo$72bo199bo199bo199bo399bo4$12b2o198b2o198b2o198b2o398b
2o$7b2o4b2o192b2o4b2o192b2o4b2o192b2o4b2o392b2o4b2o$8b2o2bo195b2o2bo
195b2o2bo195b2o2bo395b2o2bo$7bo199bo199bo199bo399bo123$18bo199bo199bo$
19bo4bobo192bo4bobo192bo4bobo862bo$17b3o5b2o190b3o5b2o67bo122b3o5b2o
862bobo199bo$25bo199bo67bo131bo863b2o200bobo$293b3o198bo996b2o$493bo$
94bo398b3o725bo199bo66bo$93bo1125bobo63bo133bobo64b2o$7bo85b3o111bo
199bo199bo29bo569bo12b2o61b2o122bo12b2o65b2o$8bo199bo199bo199bo29bo
569bo75b2o122bo$6b3o197b3o197b3o197b3o27b3o567b3o197b3o8$9bo199bo199bo
199bo599bo199bo$10bo199bo199bo199bo42bo556bo199bo$8b3o197b3o197b3o197b
3o40bobo554b3o197b3o$652b2o2$659bo$650b2o6bo$651b2o5b3o$650bo32$17b2o
59b2o137b2o59b2o137b2o59b2o137b2o598b2o198b2o$16bobo58b2o137bobo58b2o
137bobo58b2o137bobo597bobo197bobo$18bo60bo138bo60bo138bo60bo138bo599bo
199bo$64b2o198b2o23b3o172b2o198b2o598b2o198b2o$64bobo197bobo22bo174bob
o197bobo597bobo197bobo21b2o$64bo199bo25bo173bo24b3o172bo599bo199bo23bo
bo$489bo998bo$12b3o74b3o120b3o197b3o75bo121b3o597b3o197b3o$14bo74bo
124bo199bo199bo599bo11b2o186bo$13bo76bo122bo199bo199bo599bo13b2o56b2o
126bo80b2o$1226bo57b2o208bobo$1286bo207bo11$b2o198b2o198b2o198b2o598b
2o198b2o$obo197bobo197bobo197bobo597bobo197bobo$2bo199bo199bo199bo599b
o199bo115$894bo$894bobo$894b2o$18bo199bo199bo399bo$19bo4bobo192bo4bobo
192bo4bobo392bo4bobo$17b3o5b2o190b3o5b2o67bo122b3o5b2o390b3o5b2o$25bo
199bo67bo131bo399bo$293b3o198bo$11bo199bo199bo81bo117bo199bo199bo$12b
2o80bo117b2o198b2o79b3o116b2o198b2o198b2o$11b2o80bo117b2o198b2o198b2o
198b2o198b2o79bobo$93b3o541bo454b2o$638bo454bo$636b3o3$1031bo13bo$
1032b2o9bobo$1031b2o11b2o4$653bo$651bobo$652b2o2$659bo$650b2o6bo$651b
2o5b3o$650bo29$1086b3o$1086bo$1087bo$78b2o198b2o198b2o398b2o$77b2o198b
2o198b2o398b2o$79bo199bo199bo399bo$289b3o$289bo741b3o$290bo198b3o336b
2o203bo$489bo337bobo202bo$89b3o398bo338bo$8bo80bo118bo199bo199bo199bo
199bo$8b2o80bo117b2o198b2o198b2o198b2o198b2o$7bobo197bobo197bobo197bob
o197bobo197bobo3$66b2o198b2o198b2o198b2o198b2o198b2o$66bobo197bobo197b
obo197bobo197bobo197bobo$66bo199bo199bo199bo199bo199bo2$16bo7bo191bo7b
o191bo7bo191bo7bo191bo7bo191bo7bo$16b2o6b2o190b2o6b2o190b2o6b2o190b2o
6b2o190b2o6b2o190b2o6b2o$15bobo5bobo189bobo5bobo189bobo5bobo189bobo5bo
bo189bobo5bobo189bobo5bobo9$68b3o197b3o197b3o197b3o197b3o197b3o$68bo
199bo199bo199bo199bo199bo$69bo199bo199bo199bo199bo199bo112$18bo199bo
199bo$19bo4bobo192bo4bobo192bo4bobo$12bo4b3o5b2o185bo4b3o5b2o67bo117bo
4b3o5b2o185bo$13bo11bo187bo11bo67bo119bo11bo187bo$11b3o197b3o79b3o115b
3o80bo116b3o$493bo$94bo398b3o$93bo$93b3o541bo$638bo$636b3o4$19bo199bo
199bo199bo$20bo199bo199bo199bo$18b3o197b3o197b3o197b3o3$653bo$651bobo$
652b2o2$659bo$650b2o6bo$651b2o5b3o$650bo15$49bo199bo199bo199bo$49bo
199bo199bo199bo$49bo199bo199bo199bo15$78b2o198b2o198b2o$77b2o198b2o
198b2o$79bo199bo199bo$289b3o$289bo$15b2o198b2o73bo124b2o72b3o123b2o$
16b2o198b2o198b2o71bo126b2o$15bo48b3o22b3o123bo48b3o148bo48b3o23bo124b
o48b3o$64bo24bo174bo199bo199bo$65bo24bo174bo199bo199bo!
I am tentatively considering myself back.

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
Contact:

Re: Thread for your fast components

Post by GUYTU6J » July 29th, 2023, 5:40 am

On a different topic, an older post used the term "fast component".
May13 wrote:
November 15th, 2022, 4:32 am
I accidentally found a big (16 cells) still life-ish pattern from 3G collision:

Code: Select all

x = 12, y = 12, rule = B3/S23
9bo$10b2o$9b2o$2bo$obo$b2o4$7b3o$9bo$8bo!
[[ ZOOM 16 STOP 27 ]]
This leads to 8G fast component (add 20-cell length-3 induction coil):

Code: Select all

x = 115, y = 45, rule = B3/S23
99bobo$99b2o$100bo2$87bo$88b2o$87b2o2$97bo$86bo10bobo$87b2o8b2o$86b2o$
112bobo$112b2o$113bo$30bobo$13bo16b2o51bo$14b2o15bo52b2o16bo$13b2o68b
2o16bo$6bo69bo24b3o$4bobo67bobo$5b2o68b2o2$108b2o$35bo72bobo$11b3o20b
2o45b3o24bo$13bo20bobo46bo16b2o$12bo69bo16b2o$101bo2$bo69bo$b2o68b2o$o
bo67bobo$27b2o68b2o$16b2o8b2o58b2o8b2o$15bobo10bo56bobo10bo$17bo69bo2$
26b2o68b2o$25b2o68b2o$27bo69bo2$14bo69bo$14b2o68b2o$13bobo67bobo!
It turns out that the 4-glider reaction responsible for the upper long snake motif can be substituted for one making a long long snake instead. There are two available 4G routes, one employing a octohash seed and the other a spark-search.py result; the former is preferred for having two stages and better clearance.

Code: Select all

x = 82, y = 75, rule = B3/S23
73bo$59bo13bobo$60bo12b2o$58b3o$50bo$51b2o$50b2o$57bo19b2o$57b2o18bobo
$4bobo49bobo18bo$5b2o$5bo59bo$3o61bobo$2bo43b2o16b2o$bo3b2o38bobo$6b2o
39bo19b2o$5bo60bo2bo$67b2o2$75b2o$74b2o$76bo26$70bobo6bo$71b2o6bobo$
71bo7b2o2$59bo13bobo$60bo12b2o$58b3o13bo$50bo$51b2o$50b2o$57bo$57b2o
15bo$56bobo14bo$73b3o3$46b2o$45bobo$47bo2$69b3o$59bo9bo$59b2o9bo$58bob
o2$54b3o$56bo$55bo!
Is anything else applicable?

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: Thread for your fast components

Post by MathAndCode » July 31st, 2023, 1:35 am

GUYTU6J wrote:
July 29th, 2023, 5:40 am
It turns out that the 4-glider reaction responsible for the upper long snake motif can be substituted for one making a long long snake instead. There are two available 4G routes, one employing a octohash seed and the other a spark-search.py result; the former is preferred for having two stages and better clearance.

Code: Select all

x = 82, y = 75, rule = B3/S23
73bo$59bo13bobo$60bo12b2o$58b3o$50bo$51b2o$50b2o$57bo19b2o$57b2o18bobo
$4bobo49bobo18bo$5b2o$5bo59bo$3o61bobo$2bo43b2o16b2o$bo3b2o38bobo$6b2o
39bo19b2o$5bo60bo2bo$67b2o2$75b2o$74b2o$76bo26$70bobo6bo$71b2o6bobo$
71bo7b2o2$59bo13bobo$60bo12b2o$58b3o13bo$50bo$51b2o$50b2o$57bo$57b2o
15bo$56bobo14bo$73b3o3$46b2o$45bobo$47bo2$69b3o$59bo9bo$59b2o9bo$58bob
o2$54b3o$56bo$55bo!
Is anything else applicable?
components_v4.rle has a three-glider collision that works.

Code: Select all

x = 87, y = 77, rule = B3/S23
25bobo56bo$26b2o56bobo$26bo57b2o2$14bo63bobo$15bo62b2o$13b3o63bo$5bo$
6b2o$5b2o51$12bo$12b2o$11bobo4$b2o$obo$2bo13bo$16b2o54b2o$15bobo54bob
o$72bo3$13b3o$15bo$14bo!
Also, I noticed that when the cleanup glider for the three-gldier collision starting with a teardrop is removed, the left side almost stabilizes.

Code: Select all

x = 12, y = 12, rule = B3/S23
9bo$10b2o$9b2o$2bo$obo$b2o4$7b3o$9bo$8bo!
[[ T 28 PAUSE 1 STOP 29 ]]
This leads to a bunch of constellation components.

Code: Select all

x = 2805, y = 848, rule = B3/S23
1547bo$1545bobo$1546b2o3$2492bo$1317bo1174bobo$1317bobo1172b2o$1317b2o
$2430bobo$1591bo7bo831b2o$848bo607bobo130b2o6b2o832bo356bo$848bobo600b
obo2b2o132b2o6b2o1040bo147bobo$848b2o601b2o4bo886bo149bo144bo148b2o$786b
o665bo96bo356bo299bo135b2o148b2o145b3o$638bo145bobo151bobo609bo353b2o
298b2o137b2o148b2o$636bobo146b2o152b2o607b3o354b2o298b2o$637b2o300bo53b
o154bo1433bo$991b2o153b2o246bo1185bobo54bobo$698bobo291b2o153b2o243bo
bo212bo973b2o54b2o$37bobo56bo601b2o693b2o210b2o295bobo297bobo433bo13b
o149bo$38b2o56bobo600bo601bo304b2o93bo200b2o298b2o448bobo147bobo$38bo
57b2o1203bobo395bobo201bo299bo448b2o148b2o$240bo1060b2o397b2o46bobo$26b
o63bobo83bo63bobo83bo149bo149bo149bo149bo149bo149bo149bo149bo149bo71b
2o76bo149bo149bo149bo149bo149bo149bo$27bo62b2o85bo62b2o85bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo71bo77bo149bo149bo149bo149bo149bo149b
o$25b3o63bo83b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o
147b3o147b3o147b3o76bo70b3o147b3o147b3o147b3o63bobo81b3o63bobo$17bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo85bo63bo
149bo149bo149bo73b2o74bo73b2o$18b2o148b2o148b2o148b2o16bobo129b2o16bo
bo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16b
obo129b2o16bobo129b2o16bobo129b2o16bobo64b3o62b2o16bobo129b2o16bobo129b
2o16bobo129b2o72bo75b2o72bo$17b2o148b2o148b2o148b2o18b2o128b2o18b2o128b
2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b
2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o148b2o
$487bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o7$380bo$379bo$379b3o5$1716bo$367bo1348bo$366bobo1347bo304bo$366bo2bo
1650bobo$367b2o1651bo2bo$2021b2o$361b3o910b2o$1273bo2bo$1274b2o4$2776b
o$2733bo41b2o$2733b2o40bobo$2732bobo7$1305b2o$1305bobo$1305bo2$1745b2o
$1745bobo$1745bo593b2o148b2o$1454b3o597b2o283bobo147bobo$1449b3o2bo598b
2o284bo149bo$1449bo5bo442b2o155bo142b2o$1307b2o141bo447bobo297bobo$1307b
obo588bo299bo$1307bo$1603bo1044b2o148b2o$24bo149bo69b2o78bo149bo149bo
149bo149bo149bo149bo149bo149bo77b2o70bo149bo149bo82b2o65bo149bo149bo149b
o72b2o75bo72b2o$24b2o148b2o68bobo77b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o76bobo69b2o148b2o76bo71b2o80b2o66b2o76bo71b2o148b2o148b
2o73bo74b2o73bo$23bobo147bobo68bo78bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo74b3o70bobo147bobo76b2o69bobo75b2o70bobo82bo64bobo75b
2o70bobo147bobo147bobo63b3o81bobo63b3o$1450bo301bobo146bobo297bobo435b
o149bo$539b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b
2o5b2o3bo137b2o5b2o141b2o5b2o4bo136b2o5b2o141b2o5b2o141b2o5b2o141b2o5b
2o141b2o5b2o142bo149bo$538b2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo139b
2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo139b2o6b
obo139b2o6bobo139b2o6bobo139b2o6bobo$13b2o148b2o148b2o148b2o75bo5bo66b
2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo
66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo
5bo66b2o75bo5bo66b2o148b2o$12bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo$14bo13bo135bo13bo135bo13bo135bo13bo135bo13bo135bo13b
o135bo13bo135bo13bo135bo13bo135bo13bo135bo13bo135bo13bo135bo13bo135bo
13bo135bo13bo135bo13bo135bo13bo135bo13bo135bo13bo$28b2o54b2o92b2o54b2o
92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o
92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o
92b2o54b2o92b2o54b2o92b2o54b2o$27bobo54bobo90bobo54bobo90bobo54bobo90b
obo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo
90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54b
obo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo$84bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo3$25b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o$27bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo$26bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo59$2492bo$2492bobo$2492b2o2$2430bobo$2431b
2o$2431bo356bo$2640bo147bobo$2344bo149bo144bo148b2o$2206bo135b2o148b2o
145b3o$2204b2o137b2o148b2o$2205b2o$2582bo$2580bobo54bobo$4bobo147bobo
147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bob
o147bobo147bobo147bobo147bobo147bobo147bobo24b2o54b2o65bobo$5b2o30bob
o56bo58b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o95bobo50b2o148b2o148b2o81bo13bo52b2o95bo$5bo32b2o56b
obo56bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o96b2o51bo149bo149bo96bobo50bo96bobo$38bo57b2o2105bo448b2o148b2o$240b
o$26bo63bobo83bo63bobo83bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo$27bo62b2o85bo62b2o85bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o$25b3o63bo83b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o
147b3o147b3o147b3o147b3o147b3o147b3o147b3o63bobo81b3o63bobo$17bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo73b2o74bo73b2o$2bo15b2o132bo15b2o132bo15b2o132bo15b2o16bob
o113bo15b2o16bobo113bo15b2o16bobo113bo15b2o16bobo113bo15b2o16bobo113b
o15b2o16bobo113bo15b2o16bobo113bo15b2o16bobo113bo15b2o16bobo113bo15b2o
16bobo113bo15b2o16bobo113bo15b2o16bobo113bo15b2o16bobo113bo15b2o16bob
o113bo15b2o72bo59bo15b2o72bo$obo14b2o131bobo14b2o131bobo14b2o131bobo14b
2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o
18b2o111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b
2o111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o
111bobo14b2o18b2o111bobo14b2o131bobo14b2o$b2o6bo141b2o6bo141b2o6bo141b
2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6b
o27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27b
o113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo141b2o6bo$7bobo147bo
bo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo$8b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o5$380bo$379bo$379b3o6$367bo$366bobo$366bo2b
o$367b2o2$361b3o6$2776bo$2733bo41b2o$2733b2o40bobo$2732bobo13$2339b2o
148b2o$2339bobo147bobo$2339bo149bo$2198b2o$2198bobo$2198bo2$2648b2o148b
2o$24bo149bo69b2o78bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo72b2o75bo72b2o$24b2o148b2o68bobo77b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o76b
o71b2o148b2o148b2o73bo74b2o73bo$23bobo147bobo68bo78bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bob
o75b2o70bobo147bobo147bobo63b3o81bobo63b3o$2201bobo435bo149bo$539b2o5b
2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b
2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o142bo149b
o$7b2o148b2o148b2o148b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o
79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bob
o58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b
2o6bobo58b2o79b2o6bobo58b2o148b2o$6bobo147bobo147bobo147bobo81bo5bo59b
obo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81b
o5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo
59bobo81bo5bo59bobo81bo5bo59bobo147bobo$8bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$28bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo$28b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b
2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b
2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o$27b
obo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo
90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54b
obo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo54bobo90bobo
54bobo90bobo54bobo$84bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo3$25b3o147b3o147b3o147b3o147b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b
3o147b3o147b3o$27bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo$26bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo59$
2492bo$2492bobo$2492b2o2$2430bobo$2431b2o$2431bo356bo$2640bo147bobo$2344b
o149bo144bo148b2o$2206bo135b2o148b2o145b3o$2204b2o137b2o148b2o$2205b2o
$2582bo$2580bobo54bobo$604bobo1974b2o54b2o$37bobo56bo508b2o1595bobo433b
o13bo149bo$38b2o56bobo506bo1596b2o448bobo147bobo$38bo57b2o2105bo448b2o
148b2o$240bo$26bo63bobo83bo63bobo83bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo$9bo17bo62b2o67bo17bo62b
2o67bo17bo131bo17bo149bo131bo17bo131bo17bo131bo17bo131bo17bo131bo17bo
131bo17bo131bo17bo131bo17bo131bo17bo131bo17bo131bo17bo131bo17bo131bo17b
o131bo17bo$7bobo15b3o63bo65bobo15b3o129bobo15b3o129bobo15b3o147b3o129b
obo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129b
obo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129b
obo15b3o63bobo63bobo15b3o63bobo$8b2o7bo140b2o7bo140b2o7bo140b2o7bo149b
o140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o
7bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo73b2o65b2o7bo73b2o$18b
2o148b2o148b2o148b2o16bobo113bo15b2o16bobo129b2o16bobo129b2o16bobo129b
2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b
2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o72bo75b2o72bo$17b2o
148b2o148b2o148b2o18b2o111bobo14b2o18b2o128b2o18b2o128b2o18b2o128b2o18b
2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b
2o18b2o128b2o18b2o128b2o18b2o128b2o148b2o$487bo113b2o6bo27bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$607bobo$608b2o5$380b
o$379bo$379b3o6$367bo$366bobo$366bo2bo$367b2o2$361b3o6$2776bo$2733bo41b
2o$2733b2o40bobo$2732bobo13$2339b2o148b2o$2339bobo147bobo$2339bo149bo
$2198b2o$2198bobo$2198bo2$2648b2o148b2o$24bo149bo69b2o78bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo72b2o75b
o72b2o$24b2o148b2o68bobo77b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o76bo71b2o148b2o148b2o73bo74b2o73bo$23b
obo147bobo68bo78bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo75b2o70bobo147bobo147bobo63b3o81bo
bo63b3o$2201bobo435bo149bo$11bo149bo149bo149bo77b2o5b2o141b2o5b2o63bo
77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o
5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o
63bo77b2o5b2o63bo78bo70bo78bo$11b2o148b2o148b2o148b2o75b2o6bobo58b2o79b
2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b
2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6b
obo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b2o148b2o$10bobo147b
obo147bobo147bobo77bo5bo59bobo81bo5bo63bobo77bo5bo63bobo77bo5bo63bobo
77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo
5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo147bobo$
608bo$28bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo$28b2o54b2o92b2o54b2o92b2o54b2o92b2o54b
2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b
2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b2o92b2o54b
2o92b2o54b2o$11bo15bobo54bobo74bo15bobo54bobo74bo15bobo54bobo74bo15bo
bo54bobo90bobo54bobo74bo15bobo54bobo74bo15bobo54bobo74bo15bobo54bobo74b
o15bobo54bobo74bo15bobo54bobo74bo15bobo54bobo74bo15bobo54bobo74bo15bo
bo54bobo74bo15bobo54bobo74bo15bobo54bobo74bo15bobo54bobo74bo15bobo54b
obo74bo15bobo54bobo74bo15bobo54bobo$11b2o71bo76b2o71bo76b2o71bo76b2o71b
o149bo76b2o71bo76b2o71bo76b2o71bo76b2o71bo76b2o71bo76b2o71bo76b2o71bo
76b2o71bo76b2o71bo76b2o71bo76b2o71bo76b2o71bo76b2o71bo76b2o71bo$10bob
o147bobo147bobo147bobo297bobo147bobo147bobo147bobo147bobo147bobo147bo
bo147bobo147bobo147bobo147bobo147bobo147bobo147bobo2$25b3o147b3o147b3o
147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b
3o147b3o147b3o147b3o147b3o$27bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$26bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo54$1547bo$1545bobo$1546b2o3$2492bo$1317bo1174bobo$1317bobo1172b
2o$1317b2o$2430bobo$1591bo7bo831b2o$848bo607bobo130b2o6b2o832bo$848bo
bo600bobo2b2o132b2o6b2o$848b2o601b2o4bo886bo149bo$786bo665bo96bo356bo
299bo135b2o148b2o$638bo145bobo151bobo609bo353b2o298b2o137b2o148b2o$636b
obo146b2o152b2o607b3o354b2o298b2o$637b2o300bo53bo154bo$991b2o153b2o246b
o$698bobo291b2o153b2o243bobo212bo$37bobo56bo601b2o693b2o210b2o295bobo
297bobo$38b2o56bobo600bo601bo304b2o93bo200b2o298b2o$38bo57b2o295bobo905b
obo395bobo201bo299bo$240bo152b2o906b2o397b2o46bobo$26bo63bobo83bo63bo
bo83bo67bo81bo149bo149bo149bo149bo149bo149bo149bo149bo71b2o76bo149bo149b
o149bo149bo149bo149bo$27bo62b2o85bo62b2o85bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo71bo77bo149bo149bo149bo149bo149bo149bo$25b3o63bo83b
3o147b3o63bo83b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b
3o147b3o76bo70b3o147b3o147b3o147b3o147b3o$17bo149bo149bo72bo76bo149bo
149bo149bo149bo149bo149bo149bo149bo149bo149bo85bo63bo149bo149bo149bo149b
o$18b2o148b2o148b2o70b3o75b2o16bobo129b2o16bobo129b2o16bobo129b2o16bo
bo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16b
obo129b2o16bobo64b3o62b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b
2o16bobo$17b2o148b2o148b2o148b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o
128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b
2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o$487bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o14$1716bo$1716bo$1716bo304bo$2020bobo$2020bo2bo$82bobo147bobo147bobo
147bobo297bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo136b2o
9bobo147bobo147bobo147bobo147bobo147bobo$39bobo40b2o105bobo40b2o105bo
bo40b2o105bobo40b2o255bobo40b2o105bobo40b2o105bobo40b2o105bobo32b2o6b
2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo
40b2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o$40b2o41bo106b2o
41bo106b2o41bo106b2o41bo256b2o41bo106b2o41bo106b2o41bo106b2o31bo2bo6b
o106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41b
o106b2o41bo106b2o41bo106b2o41bo$40bo149bo149bo149bo299bo149bo149bo149b
o33b2o114bo149bo149bo149bo149bo149bo149bo149bo149bo149bo14$1305b2o$1305b
obo$1305bo2$1745b2o$1745bobo$1745bo593b2o148b2o$1454b3o597b2o283bobo147b
obo$1449b3o2bo598b2o284bo149bo$1449bo5bo442b2o155bo142b2o$1307b2o141b
o447bobo297bobo$1307bobo588bo299bo$389bo917bo$388b2o1213bo$24bo149bo69b
2o78bo63bobo83bo149bo149bo149bo149bo149bo149bo149bo77b2o70bo149bo149b
o82b2o65bo149bo149bo149bo149bo$24b2o148b2o68bobo77b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o76bobo69b2o148b2o76bo71b2o80b2o66b2o76b
o71b2o148b2o148b2o148b2o$23bobo147bobo68bo78bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo74b3o70bobo147bobo76b2o69bobo75b2o70bobo82b
o64bobo75b2o70bobo147bobo147bobo147bobo$1450bo301bobo146bobo297bobo$539b
2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o3bo
137b2o5b2o141b2o5b2o4bo136b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o
5b2o141b2o5b2o141b2o5b2o$538b2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo
139b2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo139b
2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo139b2o6bobo$13b2o148b
2o148b2o148b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo
66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo
5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo66b2o75bo5bo$12bob
o147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bo
bo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo$14bo149bo149b
o149bo149bo13bo135bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo$628b2o54b2o$627bobo54bobo$684bo3$625b3o$27b2o148b2o148b
2o148b2o148bo149b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o$26bobo147bobo147bobo147bobo147bo149bobo147b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo$28bo149bo149bo149bo299bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo58$2492bo$2492bobo$2492b2o2$2430b
obo$2431b2o$2431bo356bo$2640bo147bobo$2344bo149bo144bo148b2o$2206bo135b
2o148b2o145b3o$2204b2o137b2o148b2o$2205b2o$2582bo$2580bobo54bobo$4bob
o147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bo
bo147bobo147bobo147bobo147bobo147bobo147bobo147bobo24b2o54b2o65bobo$5b
2o30bobo56bo58b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o95bobo50b2o148b2o148b2o81bo13bo52b2o95bo$5b
o32b2o56bobo56bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo96b2o51bo149bo149bo96bobo50bo96bobo$38bo57b2o295bobo1807bo
448b2o148b2o$240bo152b2o$26bo63bobo83bo63bobo83bo67bo81bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$27bo62b
2o85bo62b2o85bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo$25b3o63bo83b3o147b3o63bo83b3o147b3o147b3o147b
3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o147b3o63b
obo81b3o63bobo$17bo149bo149bo72bo76bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo73b2o74bo73b2o$2bo15b2o132bo15b2o
132bo15b2o70b3o59bo15b2o16bobo113bo15b2o16bobo113bo15b2o16bobo113bo15b
2o16bobo113bo15b2o16bobo113bo15b2o16bobo113bo15b2o16bobo113bo15b2o16b
obo113bo15b2o16bobo113bo15b2o16bobo113bo15b2o16bobo113bo15b2o16bobo113b
o15b2o16bobo113bo15b2o16bobo113bo15b2o72bo59bo15b2o72bo$obo14b2o131bo
bo14b2o131bobo14b2o131bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o
111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o111b
obo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o111bo
bo14b2o18b2o111bobo14b2o18b2o111bobo14b2o18b2o111bobo14b2o131bobo14b2o
$b2o6bo141b2o6bo141b2o6bo141b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o
6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27b
o113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b2o6bo27bo113b
2o6bo141b2o6bo$7bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bob
o147bobo$8b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o17$82bobo147bobo147b
obo147bobo297bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo147bobo$39bobo40b2o105bobo40b2o105bobo
40b2o105bobo40b2o255bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105b
obo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105b
obo40b2o105bobo40b2o105bobo40b2o105bobo40b2o$40b2o41bo106b2o41bo106b2o
41bo106b2o41bo256b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o
41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o
41bo106b2o41bo$40bo149bo149bo149bo299bo149bo149bo149bo149bo149bo149bo
149bo149bo149bo149bo149bo149bo149bo4$2776bo$2733bo41b2o$2733b2o40bobo
$2732bobo13$2339b2o148b2o$2339bobo147bobo$2339bo149bo$2198b2o$2198bob
o$2198bo$389bo$388b2o2258b2o148b2o$24bo149bo69b2o78bo63bobo83bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo72b2o75b
o72b2o$24b2o148b2o68bobo77b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o76bo71b2o148b2o148b2o73bo74b2o73bo$23b
obo147bobo68bo78bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo
147bobo147bobo147bobo147bobo147bobo75b2o70bobo147bobo147bobo63b3o81bo
bo63b3o$2201bobo435bo149bo$539b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b
2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b2o5b2o141b
2o5b2o141b2o5b2o141b2o5b2o142bo149bo$7b2o148b2o148b2o148b2o79b2o6bobo
58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o
6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o
79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o79b2o6bobo58b2o148b2o$6b
obo147bobo147bobo147bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5b
o59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59b
obo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo81bo5bo59bobo147b
obo$8bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo$628bo$628b2o54b2o$627bobo54bobo$684bo3$625b
3o$27b2o148b2o148b2o148b2o148bo149b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$26bobo147bobo147bobo147b
obo147bo149bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bo
bo147bobo147bobo147bobo147bobo147bobo$28bo149bo149bo149bo299bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo58$2492bo$2492b
obo$2492b2o2$2430bobo$2431b2o$2431bo356bo$2640bo147bobo$2344bo149bo144b
o148b2o$2206bo135b2o148b2o145b3o$2204b2o137b2o148b2o$2205b2o$2582bo$2580b
obo54bobo$604bobo1974b2o54b2o$37bobo56bo508b2o1595bobo433bo13bo149bo$
38b2o56bobo506bo1596b2o448bobo147bobo$38bo57b2o295bobo1807bo448b2o148b
2o$240bo152b2o$26bo63bobo83bo63bobo83bo67bo81bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo$9bo17bo62b2o67bo17b
o62b2o67bo17bo131bo17bo149bo131bo17bo131bo17bo131bo17bo131bo17bo131bo
17bo131bo17bo131bo17bo131bo17bo131bo17bo131bo17bo131bo17bo131bo17bo131b
o17bo131bo17bo$7bobo15b3o63bo65bobo15b3o129bobo15b3o63bo65bobo15b3o147b
3o129bobo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129bobo
15b3o129bobo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129bobo15b3o129b
obo15b3o129bobo15b3o63bobo63bobo15b3o63bobo$8b2o7bo140b2o7bo140b2o7bo
72bo67b2o7bo149bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o7b
o140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo140b2o7bo73b2o
65b2o7bo73b2o$18b2o148b2o148b2o70b3o75b2o16bobo113bo15b2o16bobo129b2o
16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b
2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b2o16bobo129b
2o72bo75b2o72bo$17b2o148b2o148b2o148b2o18b2o111bobo14b2o18b2o128b2o18b
2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b
2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o18b2o128b2o148b2o$487bo
113b2o6bo27bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o$607bobo$608b2o17$82bobo147bobo147bobo147bobo297bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo$39bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o255bobo40b2o105bob
o40b2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105b
obo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105bobo40b2o105b
obo40b2o$40b2o41bo106b2o41bo106b2o41bo106b2o41bo256b2o41bo106b2o41bo106b
2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo106b
2o41bo106b2o41bo106b2o41bo106b2o41bo106b2o41bo$40bo149bo149bo149bo299b
o149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo4$2776b
o$2733bo41b2o$2733b2o40bobo$2732bobo13$2339b2o148b2o$2339bobo147bobo$
2339bo149bo$2198b2o$2198bobo$2198bo$389bo$388b2o2258b2o148b2o$24bo149b
o69b2o78bo63bobo83bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo72b2o75bo72b2o$24b2o148b2o68bobo77b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o76bo71b2o
148b2o148b2o73bo74b2o73bo$23bobo147bobo68bo78bobo147bobo147bobo147bob
o147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo75b2o
70bobo147bobo147bobo63b3o81bobo63b3o$2201bobo435bo149bo$11bo149bo149b
o149bo77b2o5b2o141b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b
2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b
2o63bo77b2o5b2o63bo77b2o5b2o63bo77b2o5b2o63bo78bo70bo78bo$11b2o148b2o
148b2o148b2o75b2o6bobo58b2o79b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b
2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6b
obo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b2o6bobo62b2o75b
2o6bobo62b2o148b2o$10bobo147bobo147bobo147bobo77bo5bo59bobo81bo5bo63b
obo77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo77b
o5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo5bo63bobo77bo5bo
63bobo77bo5bo63bobo147bobo$608bo$628bo$628b2o54b2o$11bo149bo149bo149b
o165bobo54bobo74bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo$11b2o148b2o148b2o148b2o221bo76b2o148b2o148b2o148b2o148b2o
148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o$10bobo147bobo147b
obo147bobo297bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo147bobo147bobo147bobo147bobo2$625b3o$27b2o148b2o148b2o148b2o
148bo149b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b2o148b
2o148b2o148b2o148b2o$26bobo147bobo147bobo147bobo147bo149bobo147bobo147b
obo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147bobo147b
obo147bobo$28bo149bo149bo149bo299bo149bo149bo149bo149bo149bo149bo149b
o149bo149bo149bo149bo149bo149bo!
That leads to another grid of fast components.

Code: Select all

x = 888, y = 8480, rule = B3/S23
84bobo$84b2o$85bo4$79bo$17bo59b2o398bo$18b2o3bo54b2o395b2o$17b2o2bobo
452b2o$22b2o$11bo399bo$12b2o398b2o$11b2o398b2o53$14bo399bo65b2o$14b2o
398b2o63b2o$13bobo397bobo65bo3$67b3o397b3o$67bo399bo$68bo399bo127$84bo
bo$84b2o$85bo791bobo$877b2o$872bo5bo$9bo399bo399bo60b2o$7bobo69bo327bo
bo397bobo61b2o$8b2o7bo59b2o329b2o67bo330b2o$18b2o3bo54b2o395b2o$17b2o
2bobo452b2o$22b2o5$881bobo$881b2o$882bo40$875b2o$874b2o$876bo5$11bo
399bo399bo$11b2o398b2o398b2o$10bobo397bobo67b2o328bobo$479b2o405bo$
481bo403b2o$885bobo$11bo399bo399bo$11b2o398b2o398b2o64b3o$10bobo397bob
o397bobo64bo$878bo126$2bo399bo399bo$obo81bobo313bobo397bobo$b2o81b2o
315b2o398b2o$85bo791bobo$877b2o$872bo5bo$870b2o$79bo791b2o$17bo59b2o
398bo$2bo15b2o3bo54b2o322bo72b2o325bo$obo14b2o2bobo376bobo73b2o322bobo
$b2o6bo12b2o377b2o6bo391b2o6bo$7bobo397bobo397bobo$8b2o398b2o398b2o3$
881bobo$881b2o$882bo40$875b2o$874b2o$876bo6$7b2o398b2o398b2o$6bobo397b
obo71b2o324bobo$8bo399bo70b2o327bo77bo$481bo403b2o$885bobo2$877b3o$
877bo$878bo127$84bobo$84b2o$85bo3$9bo399bo$7bobo69bo327bobo$8b2o7bo59b
2o329b2o67bo$18b2o3bo54b2o395b2o$17b2o2bobo452b2o$22b2o24$248b2o$249bo
$243bo2b3o394bo2bo196bo2bo$243b4o396b4o196b4o2$245b2o398b2o198b2o$245b
o399bo199bo$246b3o397b3o197b3o$248bo399bo199bo3$250b3o397b3o4$247b2o7b
o390b2o7bo$246bo2bo5b2o389bo2bo5b2o$247bobo5bobo389bobo5bobo$248bo399b
o12$11bo399bo$11b2o398b2o$10bobo397bobo67b2o$479b2o$481bo2$11bo399bo$
11b2o398b2o$10bobo63bo333bobo63bo$75b2o398b2o$75bobo397bobo3$21b2o398b
2o$22b2o398b2o$21bo399bo120$2bo399bo$obo81bobo313bobo$b2o81b2o315b2o$
85bo4$79bo$17bo59b2o398bo$2bo15b2o3bo54b2o322bo72b2o$obo14b2o2bobo376b
obo73b2o$b2o6bo12b2o377b2o6bo$7bobo397bobo$8b2o398b2o22$248b2o$242bo6b
o392bo199bo$241bobo2b3o392bobo2bo194bobo2bo$240bo2b4o393bo2b4o193bo2b
4o$240b2o398b2o198b2o$245b2o398b2o198b2o$245bo399bo199bo$246b3o397b3o
197b3o$248bo399bo199bo3$250b3o397b3o4$247b2o7bo390b2o7bo$246bo2bo5b2o
389bo2bo5b2o$247bobo5bobo389bobo5bobo$248bo399bo13$7b2o398b2o$6bobo
397bobo71b2o$8bo399bo70b2o$481bo4$76bo399bo$75b2o398b2o$75bobo397bobo
3$21b2o398b2o$22b2o398b2o$21bo399bo121$84bobo$84b2o$85bo3$9bo399bo$7bo
bo69bo327bobo$8b2o7bo59b2o329b2o67bo$18b2o3bo54b2o395b2o$17b2o2bobo
452b2o$22b2o54$11bo399bo$11b2o398b2o$10bobo397bobo67b2o$479b2o$481bo2$
11bo399bo$11b2o398b2o$10bobo397bobo$16b3o397b3o$18bo399bo$17bo399bo$
79bo399bo$78b2o398b2o$78bobo397bobo121$2bo399bo$obo81bobo313bobo$b2o
81b2o315b2o$85bo4$79bo$17bo59b2o398bo$2bo15b2o3bo54b2o322bo72b2o$obo
14b2o2bobo376bobo73b2o$b2o6bo12b2o377b2o6bo$7bobo397bobo$8b2o398b2o53$
7b2o398b2o$6bobo397bobo71b2o$8bo399bo70b2o$481bo5$16b3o397b3o$18bo399b
o$17bo399bo$79bo399bo$78b2o398b2o$78bobo397bobo122$84bobo$84b2o$85bo3$
9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o2bobo$22b2o32$47b2o$47b
2o21$11bo$11b2o$10bobo4$11bo$11b2o$10bobo3$80b2o$79b2o$81bo122$2bo$obo
81bobo$b2o81b2o$85bo4$79bo$17bo59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b
2o6bo12b2o$7bobo$8b2o30$47b2o$47b2o22$7b2o$6bobo$8bo8$80b2o$79b2o$81bo
123$84bobo$84b2o$85bo3$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o
2bobo$22b2o24$248b2o$249bo$243bo2b3o$243b4o2$245b2o$245bo$246b3o$249bo
$248b2o3$248b2o$248b2o5$241b2o$240bobo$242bo10$11bo$11b2o$10bobo4$11bo
$11b2o$10bobo66bo$78b2o$78bobo3$18b2o$19b2o$18bo120$2bo$obo81bobo$b2o
81b2o$85bo4$79bo$17bo59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o$
7bobo$8b2o22$248b2o$242bo6bo$241bobo2b3o$240bo2b4o$240b2o$245b2o$245bo
$246b3o$249bo$248b2o3$248b2o$248b2o5$241b2o$240bobo$242bo11$7b2o$6bobo
$8bo5$79bo$78b2o$78bobo3$18b2o$19b2o$18bo121$84bobo$84b2o$85bo3$9bo$7b
obo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o2bobo$22b2o54$11bo$11b2o$10bob
o4$11bo$11b2o$10bobo$76b2o$75b2o$77bo2$13b3o$15bo$14bo120$2bo$obo81bob
o$b2o81b2o$85bo4$79bo$17bo59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo
12b2o$7bobo$8b2o53$7b2o$6bobo$8bo6$76b2o$75b2o$77bo2$13b3o$15bo$14bo
121$84bobo$84b2o$85bo3$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o
2bobo$22b2o54$11bo$11b2o$10bobo4$11bo$11b2o$10bobo$16b3o$18bo66b2o$17b
o3bo63bobo$21b2o62bo$20bobo122$2bo$obo81bobo$b2o81b2o$85bo4$79bo$17bo
59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o53$7b2o$6bo
bo$8bo6$16b3o$18bo66b2o$17bo3bo63bobo$21b2o62bo$20bobo123$84bobo$84b2o
$85bo3$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o2bobo$22b2o24$
248b2o$249bo$243bo2b3o$243b4o2$245b2o$245bobo$247bo$246b2ob2o$249bobo$
249bo2bo$250b2o3$261b2o$261b2o15$11bo$11b2o$10bobo4$11bo$11b2o22b2o$
10bobo21bobo44b2o$16b3o17bo44bobo$18bo62bo$17bo4$33b2o$34b2o$33bo118$
2bo$obo81bobo$b2o81b2o$85bo4$79bo$17bo59b2o$2bo15b2o3bo54b2o$obo14b2o
2bobo$b2o6bo12b2o$7bobo$8b2o22$248b2o$242bo6bo$241bobo2b3o$240bo2b4o$
240b2o$245b2o$245bobo$247bo$246b2ob2o$249bobo$249bo2bo$250b2o3$261b2o$
261b2o16$7b2o$6bobo$8bo4$35b2o$34bobo44b2o$16b3o17bo44bobo$18bo62bo$
17bo4$33b2o$34b2o$33bo119$84bobo$84b2o$85bo3$9bo$7bobo69bo$8b2o7bo59b
2o$18b2o3bo54b2o$17b2o2bobo$22b2o4$89bo$87b2o$88b2o18$248b2o$249bo$
243bo2b3o$243b4o2$245b2o11bo$245bobo10bo$247bo2b2o6bo$246b2obobo$249bo
$249b2o20$11bo$11b2o$10bobo4$11bo$11b2o$10bobo$16b3o$18bo$17bo64b3o$
82bo$83bo3b3o$87bo$88bo120$2bo$obo81bobo$b2o81b2o$85bo4$79bo$17bo59b2o
$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o2$89bo$87b2o$88b
2o18$248b2o$242bo6bo$241bobo2b3o$240bo2b4o$240b2o$245b2o11bo$245bobo
10bo$247bo2b2o6bo$246b2obobo$249bo$249b2o21$7b2o$6bobo$8bo6$16b3o$18bo
$17bo64b3o$82bo$83bo3b3o$87bo$88bo121$84bobo$84b2o$85bo3$9bo$7bobo69bo
$8b2o7bo59b2o$18b2o3bo54b2o$17b2o2bobo$22b2o2$88bo$86b2o$87b2o50$11bo$
11b2o$10bobo4$11bo$11b2o$10bobo$16b3o$18bo$17bo64b3o$82bo$83bo3$85b2o$
84b2o$86bo117$2bo$obo81bobo$b2o81b2o$85bo4$79bo$17bo59b2o$2bo15b2o3bo
54b2o$obo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o78bo$86b2o$87b2o51$7b2o$6bob
o$8bo6$16b3o$18bo$17bo64b3o$82bo$83bo3$85b2o$84b2o$86bo118$84bobo$84b
2o$85bo3$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o2bobo$22b2o2$
83bo$82bo$82b3o50$11bo$11b2o$10bobo4$11bo$11b2o$10bobo$16b3o$18bo$17bo
3$14b2o$15b2o62bo$14bo63b2o$78bobo118$2bo$obo81bobo$b2o81b2o$85bo4$79b
o$17bo59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o73bo$
82bo$82b3o51$7b2o$6bobo$8bo6$16b3o$18bo$17bo3$14b2o$15b2o62bo$14bo63b
2o$78bobo119$84bobo$84b2o$85bo3$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b
2o$17b2o2bobo$22b2o2$83bo$82bo$82b3o50$11bo$11b2o$10bobo4$11bo$11b2o$
10bobo$16b3o$18bo$17bo3b2o$20bobo$22bo62b3o$85bo$75bo10bo$74b2o$74bobo
3$20b2o$15b2o2bobo$14bobo4bo$16bo112$2bo$obo81bobo$b2o81b2o$85bo4$79bo
$17bo59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o73bo$
82bo$82b3o51$7b2o$6bobo$8bo6$16b3o$18bo$17bo3b2o$20bobo$22bo62b3o$85bo
$75bo10bo$74b2o$74bobo3$20b2o$15b2o2bobo$14bobo4bo$16bo113$84bobo$84b
2o$85bo3$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o2bobo$22b2o2$
83bo$82bo$82b3o10$77bobo$77b2o$78bo38$11bo$11b2o$10bobo4$11bo$11b2o$
10bobo$16b3o$18bo$17bo2$85b3o$85bo$86bo5$77b2o$77bobo2b2o$77bo4bobo$
82bo112$2bo$obo81bobo$b2o81b2o$85bo4$79bo$17bo59b2o$2bo15b2o3bo54b2o$o
bo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o73bo$82bo$82b3o10$77bobo$77b2o$78bo
39$7b2o$6bobo$8bo6$16b3o$18bo$17bo2$85b3o$85bo$86bo5$77b2o$77bobo2b2o$
77bo4bobo$82bo113$84bobo$84b2o$85bo3$9bo$7bobo69bo$8b2o7bo59b2o$18b2o
3bo54b2o$17b2o2bobo$22b2o2$83bo$82bo$82b3o9$76bobo$76b2o$77bo39$11bo$
11b2o$10bobo4$11bo$11b2o$10bobo$16b3o$18bo$17bo2$85b3o$85bo$86bo4$76b
2o$76bobo2b2o$76bo4bobo$81bo113$2bo$obo81bobo$b2o81b2o$85bo4$79bo$17bo
59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o73bo$82bo$
82b3o9$76bobo$76b2o$77bo40$7b2o$6bobo$8bo6$16b3o$18bo$17bo2$85b3o$85bo
$86bo4$76b2o$76bobo2b2o$76bo4bobo$81bo114$84bobo$84b2o$85bo3$9bo$7bobo
69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o2bobo$22b2o2$83bo$82bo$82b3o50$
11bo$11b2o$10bobo4$11bo$11b2o$10bobo$16b3o$18bo$17bo2$85b3o$85bo$78b3o
5bo$78bo$79bo2$19b3o$21bo$20bo114$2bo$obo81bobo$b2o81b2o$85bo4$79bo$
17bo59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o73bo$
82bo$82b3o51$7b2o$6bobo$8bo6$16b3o$18bo$17bo2$85b3o$85bo$78b3o5bo$78bo
$79bo2$19b3o$21bo$20bo120$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b
2o2bobo$22b2o62bo$85bo$85b3o22$248b2o$249bo$243bo2b3o$243b4o2$245b2o$
245bobo$247bo10b2o$246b2ob2o7b2o$249bo$249bo2bo$250b3o3b2o$256b2o$248b
3o$247bo2bo$247b2o2$265b2o$264b2o$266bo11$11bo$11b2o$10bobo4$11bo$11b
2o$10bobo$16b3o70b2o$18bo70bobo$17bo3b2o59b3o4bo$20bobo59bo$22bo60bo2$
75bo$74b2o$74bobo3$20b2o$15b2o2bobo$14bobo4bo$16bo112$2bo$obo$b2o5$79b
o$17bo59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o62bo$7bobo75bo$
8b2o75b3o22$248b2o$242bo6bo$241bobo2b3o$240bo2b4o$240b2o$245b2o$245bob
o$247bo10b2o$246b2ob2o7b2o$249bo$249bo2bo$250b3o3b2o$256b2o$248b3o$
247bo2bo$247b2o2$265b2o$264b2o$266bo12$7b2o$6bobo$8bo6$16b3o70b2o$18bo
70bobo$17bo3b2o59b3o4bo$20bobo59bo$22bo60bo2$75bo$74b2o$74bobo3$20b2o$
15b2o2bobo$14bobo4bo$16bo118$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$
17b2o2bobo$22b2o62bo$85bo$85b3o12$77bobo$77b2o$78bo8$248b2o$249bo$243b
o2b3o$243b4o2$245b2o$245bobo$247bo10b2o$246b2ob2o7b2o$249bo$249bo2bo$
250b3o3b2o$256b2o$248b3o$248bo2bo$250b2o2$265b2o$264b2o$266bo11$11bo$
11b2o$10bobo4$11bo$11b2o$10bobo$16b3o70b2o$18bo70bobo$17bo64b3o4bo$82b
o$83bo7$77b2o$77bobo2b2o$77bo4bobo$82bo112$2bo$obo$b2o5$79bo$17bo59b2o
$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o62bo$7bobo75bo$8b2o75b3o12$
77bobo$77b2o$78bo8$248b2o$242bo6bo$241bobo2b3o$240bo2b4o$240b2o$245b2o
$245bobo$247bo10b2o$246b2ob2o7b2o$249bo$249bo2bo$250b3o3b2o$256b2o$
248b3o$248bo2bo$250b2o2$265b2o$264b2o$266bo12$7b2o$6bobo$8bo6$16b3o70b
2o$18bo70bobo$17bo64b3o4bo$82bo$83bo7$77b2o$77bobo2b2o$77bo4bobo$82bo
118$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o2bobo$22b2o62bo$85bo
$85b3o11$76bobo$76b2o$77bo9$248b2o$249bo$243bo2b3o$243b4o2$245b2o$245b
obo$247bo10b2o$246b2ob2o7b2o$249bo$249bo2bo$250b3o3b2o$247b3o6b2o$247b
o2bo$249b2o3$265b2o$264b2o$266bo11$11bo$11b2o$10bobo4$11bo$11b2o$10bob
o$16b3o70b2o$18bo70bobo$17bo64b3o4bo$82bo$83bo6$76b2o$76bobo2b2o$76bo
4bobo$81bo113$2bo$obo$b2o5$79bo$17bo59b2o$2bo15b2o3bo54b2o$obo14b2o2bo
bo$b2o6bo12b2o62bo$7bobo75bo$8b2o75b3o11$76bobo$76b2o$77bo9$248b2o$
242bo6bo$241bobo2b3o$240bo2b4o$240b2o$245b2o$245bobo$247bo10b2o$246b2o
b2o7b2o$249bo$249bo2bo$250b3o3b2o$247b3o6b2o$247bo2bo$249b2o3$265b2o$
264b2o$266bo12$7b2o$6bobo$8bo6$16b3o70b2o$18bo70bobo$17bo64b3o4bo$82bo
$83bo6$76b2o$76bobo2b2o$76bo4bobo$81bo119$9bo$7bobo69bo$8b2o7bo59b2o$
18b2o3bo54b2o$17b2o2bobo$22b2o62bo$85bo$85b3o22$248b2o$249bo$243bo2b3o
$243b4o2$245b2o$245bobo$247bo10b2o$246b2ob2o7b2o$249bo$249bo2bo$250b3o
3b2o$256b2o$248b3o$247bo3bo$247b2ob2o2$265b2o$264b2o$266bo11$11bo$11b
2o$10bobo4$11bo$11b2o$10bobo$16b3o70b2o$18bo70bobo$17bo64b3o4bo$82bo$
83bo2$78b3o$78bo$79bo2$19b3o$21bo$20bo114$2bo$obo$b2o5$79bo$17bo59b2o$
2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o62bo$7bobo75bo$8b2o75b3o22$
248b2o$242bo6bo$241bobo2b3o$240bo2b4o$240b2o$245b2o$245bobo$247bo10b2o
$246b2ob2o7b2o$249bo$249bo2bo$250b3o3b2o$256b2o$248b3o$247bo3bo$247b2o
b2o2$265b2o$264b2o$266bo12$7b2o$6bobo$8bo6$16b3o70b2o$18bo70bobo$17bo
64b3o4bo$82bo$83bo2$78b3o$78bo$79bo2$19b3o$21bo$20bo115$84bobo$84b2o$
85bo3$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$17b2o2bobo$22b2o2$83bo$
82bo$82b3o50$11bo$11b2o$10bobo4$11bo$11b2o$10bobo$16b3o$18bo$17bo$13b
2o$12bobo$14bo70b3o$85bo$86bo119$2bo$obo81bobo$b2o81b2o$85bo4$79bo$17b
o59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o73bo$82bo$
82b3o51$7b2o$6bobo$8bo6$16b3o$18bo$17bo$13b2o$12bobo$14bo70b3o$85bo$
86bo120$84bobo$84b2o$85bo3$9bo$7bobo69bo$8b2o7bo59b2o$18b2o3bo54b2o$
17b2o2bobo$22b2o2$83bo$82bo$82b3o20$248b2o$249bo$243bo2b3o$243b4o13bo$
260bobo$245b2o13b2o$245bobo$247bo$246b2ob2o$249bo$246b2obo$245bobob2o
3b2o$246bo7b2o18$11bo$11b2o$10bobo4$11bo$11b2o$10bobo$16b3o$18bo$17bo$
13b2o$12bobo72b2o$14bo72bobo$87bo120$2bo$obo81bobo$b2o81b2o$85bo4$79bo
$17bo59b2o$2bo15b2o3bo54b2o$obo14b2o2bobo$b2o6bo12b2o$7bobo$8b2o73bo$
82bo$82b3o20$248b2o$242bo6bo$241bobo2b3o$240bo2b4o13bo$240b2o18bobo$
245b2o13b2o$245bobo$247bo$246b2ob2o$249bo$246b2obo$245bobob2o3b2o$246b
o7b2o19$7b2o$6bobo$8bo6$16b3o$18bo$17bo$13b2o$12bobo72b2o$14bo72bobo$
87bo!
Some of the resulting still-lives, such as the hat, can be made more cheaply, but not all of the entries are redundant. For example, this reduces the glider cost of xs20_04ap3zoge3033 from 11 to 6.
I am tentatively considering myself back.

Post Reply