b3s23 families in the Catagolue

For discussion of specific patterns or specific families of patterns in Conway's Game of Life, both newly-discovered and well-known.
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ohennel
Posts: 9
Joined: September 13th, 2012, 1:22 am
Location: Warsaw, Poland

b3s23 families in the Catagolue

Post by ohennel » December 20th, 2025, 4:41 pm

For anyone interested in specific statistics, I collected some Catalogue results for so called "families" i.e. sets of objects composed of same subobjects. For example, the biggest family for total cells 15 is family of long hook and eater - it has 12 family members with counts as follows:
916419 xs15_wmk453z643
418714 xs15_03lk46z643
295326 xs15_3hu0o8a6
279074 xs15_178c0fho
234803 xs15_354c0fho
219731 xs15_2ego0uh3
76157 xs15_0g8o0uh3z23
72641 xs15_ggkc0fhoz1
53297 xs15_32ac0fho
48918 xs15_3hu0ok46
45639 xs15_178czw31156
42066 xs15_03lk46z6221
This family is Catagolue-complete - all members have been found.

Of all families in Catagolue the biggest is a family of long hook, hook and R-bee - 72 members (out of 86) have been found. For total count of 22 cell stable objects - 565980665 - the leading member of this family has count of 725:

725 xs22_ogkc0fhozw6aa4
.....##.
.....#..
..##.#..
#..#.#.#
###...##
........
..###...
..#..#..
...##...

Next 3 top families are:

66 members of long hook, hook and R-loaf.
Leading member (total count of 23 cell objects 27697403):

797 xs23_ogkc0fhozw6aic
.....##.
.....#..
..##.#..
#..#.#.#
###...##
........
..###...
..#..#..
...#.#..
....#...

57 members of long hook, hook and R-mango.
Leading member (total count of 24 cell objects 24971779):

193 xs24_0259acz3hu06513
..##....
.#..#...
..#..#..
...###..
........
##...###
#.#.#..#
..#.##..
..#.....
.##.....

53 members of long hook and two hooks.
Leading member:

7250 xs22_0ckgo0uh3z62ac
.......##
......#.#
.##...#..
.#..#.#..
..###.##.
.........
###......
#..#.....
..##.....

I would like to provide a link to my website where I will upload results from time to time:
https://sites.google.com/view/ohennel/

Best regards,
Andrzej Okrasinski

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