Small pseudo still lifes

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This page aims to document examples of pseudo still lifes with less than 35 cells.

4 to 10 cells11 cells12 cells13 cells14 cells15 cells16 cells17 cells18 cells19+ cellscommonpseudo

Smallest pseudo still lifes

8 cells

There is only one pseudo still life with 8 cells.[1]

Still life apgcode FC Synth.
cost
1 Bi-block xs8_rr 7.0 2

9 cells

There is only one pseudo still life with 9 cells.[2]

Still life apgcode FC Synth.
cost
1 Block on boat xs9_253033 10.8 3

10 cells

There are a total of 7 pseudo still lifes with 10 cells.[3]

Still life apgcode FC Synth.
cost
1 Block on beehive xs10_660696 10.5 3
2 Cis-bi-boat xs10_2530352 13.4 3
3 Block on ship xs10_330356 15.1 3
4 Trans-bi-boat xs10_25606a4 16.7 4
5 Cis-block on carrier xs10_33039c 20.0 4
6 Trans-block on carrier xs10_0brz32 20.5 4
7 Block on snake xs10_bdz33 22.2 4

11 cells

There are a total of 16 pseudo still lifes with 11 cells.[4]

Still life apgcode FC Synth.
cost
1 Up boat on ship xs11_2530356 4
2 Up boat on snake xs11_dbz352 4
3 Up boat on carrier xs11_2lmz641 4
4 Down boat on snake xs11_bdz352 4
5 Block on python xs11_0brz65 5
6 Block on loaf xs11_2596066 3
7 Boat on beehive xs11_2560696 4
8 Up boat below carrier xs11_253039c 4
9 Down boat on ship xs11_25606ac 4
10 Block above eater xs11_33032ac 4
11 Block below eater xs11_0gbrz23 4
12 Block on eater xs11_178c0cc 4
13 Block on long boat xs11_25ac0cc 4
14 Down boat on carrier xs11_0c93z253 4
15 Block below python xs11_3303lo 4
16 Down boat below carrier xs11_25606io 5

Larger examples

Cells Example / apgcode FC Synth.
cost
12 Block on pond
xs12_6606996
4
13 Boat on long ship
xs13_253035ac
5
14 Long snake on eater 1
xs14_ca23z3lo
8
15 Boat on block on ship
xs15_2lmzold
5
16 Pond on pond
xs16_699606996
4
16 Carrier on broken snake
xs16_0rdzg0arz11
9
17 Hat on bi-block
xs17_4aar0rr
5
18 Long hook with tail on long hook with tail
xs18_8e12kmz31243
20
19 Hat on loop
xs19_4aar0ra96
9
20 Ship on bi-block on ship
xs20_0ml3z0ddz653
6
21 Hat on snake on snake
xs21_4aar0rahr
10
22 Pond on paperclip
xs22_6996069bqic
5
23 Hat on tub with tail on snake
xs23_bd0mkk8z178l8
24 Four blocks on pond
xs24_gg0gbbg0ggz1101qq1011
8
25 Up boat on mirrored dock
xs25_3lkkl3zrag023z01
5
26 Bi-block and dead spark coil
xs26_rhe0ehr0rr
5
27 Paperclip and beehive at loaf
xs27_ciqb96z4aicggzx1221
28 Paperclip and paperclip
xs28_69bqic0ciqb96
6
29 Fourteener and moose antlers
xs29_0g8ow31e8gz2fgkc0c871
30 Ship on ship and dead spark coil
xs30_03lkl3zgbq0qbgz11x11
8
31 Up long³ boat on mirrored dock
xs31_3lkkl3z320garz4a521
10
32 Triple pseudo still life
xs32_bd0mk2sgz1785d0mq
76
33 Tapeworm and mirrored dock
xs33_321fgkcz6a88a6z651156
34 Quad pseudo still life
xs34_4aar0rq1e8gzx64260bd

Eater 2 variants

x = 9, y = 6, rule = B3/S23 2b2obo$2b2ob3o$8bo$2b2ob3o$o2bobo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ]]
This eater 2 variant has 19 cells like the canonical form and can be used when the canonical form wouldn't fit.
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Pseudo still life agars

Much like with strict still lifes, it is easy to build pseudo still lifes which are infinitely extensible, both one-dimensionally and two-dimensionally.

The simplest case can be seen by stacking individual blocks in n-by-m block arrays, which will always yield a larger pseudo still life provided the array is perfectly rectangular. It is easy to see how this can be continued indefinitely.

x\y 1 2 3 ...
1
2
3
...

The same can be done with ponds in much the same arrangements to yield an orthogonal marshland agar:

x\y 1 2 3 ...
1
2
3
...

Ponds have the added bonus that they can form shapes which are not necessarily rectangular, and as such any pond can be omitted anywhere to yield a stable pattern.

References