Common compact constellations / B3S23clustersv0
Posted: January 20th, 2023, 8:31 pm
I made a three-state ruletable (Rule:B3S23clustersv0) where cellstates 0 and 1 work the same way as in CGoL and cellstate 2 is an OFF cell with at least one adjacent ON cell in the previous generation.
The effect is that from the viewpoint of apgsearch, many compact constellations become single objects. I submitted 1 000 000 16x16 soups to x2xb3s23clustersv0/C1 using this ruletable.
In the xq4 tabulation, the HWSS (with 142 occurrences) is closely followed by the following glider pair (113 occurrences). This seems to be unambiguously the most common glider pair, out of pairs recognized as single objects. (I do not know whether there are more common glider pairs with higher separation between gliders.)
The xp15 and xp30 tabulations together have 18 occurrences of constellations, all of which would normally be occurrences of a pentadecathlon. The two most common are the following constellation (6 occurrences) and a clean pentadecathlon (5 occurrences):
The reason for the commonness of that constellation seems to be the pi+block collision:
In the following table, columns are:
The effect is that from the viewpoint of apgsearch, many compact constellations become single objects. I submitted 1 000 000 16x16 soups to x2xb3s23clustersv0/C1 using this ruletable.
In the xq4 tabulation, the HWSS (with 142 occurrences) is closely followed by the following glider pair (113 occurrences). This seems to be unambiguously the most common glider pair, out of pairs recognized as single objects. (I do not know whether there are more common glider pairs with higher separation between gliders.)
Code: Select all
#C https://catagolue.hatsya.com/object/xq4_46azw46a_rplfezwrplfe/x2xb3s23clustersv0
x = 7, y = 10, rule = B3S23clustersv0
4B$B2A2B$2A3B$2BA2B$3B$2.4B$2.B2A2B$2.2A3B$2.2BA2B$2.3B!
Code: Select all
#C https://catagolue.hatsya.com/object/xq4_163w4oc/b3s23
x = 5, y = 8, rule = B3/S23
b2o$2o$2bo3$3b2o$2b2o$4bo!
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#C https://catagolue.hatsya.com/object/xp15_w66z033zxeaeeeeae_gvppfz7447z0eehlhwhlhee/x2xb3s23clustersv0
x = 13, y = 15, rule = B3S23clustersv0
.4B$.B2AB$.B2AB$.4B$4B$B2AB$B2AB$4B3$3.3B2.3B$.2B8A2B$.2BAB4ABA2B$.2B8A2B$3.
3B2.3B!
Code: Select all
#C https://catagolue.hatsya.com/object/xp15_sksy033w66zvnv/b3s23
x = 13, y = 10, rule = B3/S23
7b2o$7b2o2b2o$3o8b2o$obo$3o$3o$3o$3o$obo$3o!
Code: Select all
x = 10, y = 6, rule = B3/S23
b2o$obo$o$obo$b2o5b2o$8b2o!
In the following table, columns are:
- "b3s23/C1-2023-01-15" -- the number of occurrences in b3s23/C1-2023-01-15 (3 744 946 382 598 037 objects generated from 171 433 196 116 960 soups)
- "estimate" -- estimated number of objects per 1000000 soups, based on the b3s23/C1 data
- "x2xb3s23clustersv0" -- actual number of occurrences in the first 1000000 soups in x2xb3s23clustersv0/C1, counting only clean occurrences (i.e. excluding larger constellations tabulated as single objects)
Code: Select all
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name b3s23/C1-2023-01-15 estimate x2xb3s23clustersv0
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block 1 156 806 479 059 678 6 747 855 4 942 598
glider 329 261 813 875 507 1 920 642 1 917 042
blinker 1 074 171 786 138 747 6 265 833 1 891 456
beehive 613 021 991 215 741 3 575 865 1 705 830
boat 166 856 475 295 513 973 303 674 159
loaf 180 852 740 481 611 1 054 945 652 705
ship 115 207 763 859 896 672 027 629 862
(TL = traffic light) - 367 307
(1/2 TL, xp2_1110s) - 161 254
tub 36 410 466 178 097 212 388 148 018
pond 35 413 024 415 801 206 570 138 502
(HF = honey farm) - 125 351
(3/4 TL, xp2_70ggg07) - 114 521
(half-blockade) - 106 246
(xs8_33wcc) - 53 079
(1/2 HF, xs12_696zy02552) - 46 768
long boat 11 727 832 126 964 68 410 46 193
(xs8_33woo) - 42 871
(bi-block) - 40 808
(xs8_ggw33z11) - 32 483
(3/4 HF, xs18_696z0gw2552z343) - 31 275
toad 8 195 474 240 761 47 805 29 265
(xs8_33w33) - 23 833
(xs8_330oo) - 21 387
barge 2 463 434 067 457 14 369 10 186
beacon 2 562 876 322 756 14 949 9 642
(fleet) - 7 468
(Beethoven, xp2_2552gggz4aa4) - 4 308
mango 907 406 305 791 5 293 3 515
LWSS 480 984 861 474 2 805 2 826
eater 1 584 490 034 036 3 409 2 564
(bakery) - 2 344
ship-tie 5 991 133 937 196 34 947 2 311
half-bakery 2 029 021 568 589 11 835 1 765
(Bach, xs16_256zy02552z253) - 1 515
long barge 329 277 169 214 1 920 1 072
pulsar 264 049 223 191 1 540 832
aircraft carrier 284 507 825 920 1 659 773
paperclip 166 333 845 858 970 769
MWSS 126 718 655 498 739 729
(Mozart, xs14_y0696z33y333) - 659
integral 104 200 977 067 607 480
long ship 112 428 681 663 655 453
shillelagh 89 252 783 087 520 371
bi-pond 68 490 329 913 399 348
(Stravinsky, xs14_33w8kk8z33) - 329
snake 78 188 705 344 456 299
Big S 78 657 646 417 458 277
boat-tie 88 039 460 516 513 219
(Chopin, xp2_6952gggz69a4) - 184
(Schumann, xp2_252ggg252) - 169
HWSS 22 021 786 010 128 142
(xq4_163w4oc) - 113
(tri-block, xs12_rrz66) - 9
(xp15_sksy033w66zvnv) - 6
BLSE 1 484 091 387 8 6
pentadecathlon 2 842 504 199 16 5
GPSE 534 562 061 3 4
clock 1 656 847 959 9 3
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