Searching every NxN pattern for oscs/patterns?

For scripts to aid with computation or simulation in cellular automata.
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drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

Searching every NxN pattern for oscs/patterns?

Post by drc » May 11th, 2016, 6:49 pm

APG MxN isn't that efficient. Maybe we could have a variant of apgmera where it searches all (let's say 8x8) patterns within a box.

Another question is: What size NxN squares have been completely searched through? I'm guessing 7x7 hasn't been searched. It would, however, take 2^49, or 562949953421312 patterns to search through. Maybe it could omit smaller squares (that don't fill 7x7). I estimate it is 2^49-2^48, or 281474976710656. Also, remove translations and rotations (I think there are 8 ) and you get 35184372088832.

This is the coppersearch table, 7x7.table:

Code: Select all

ABCDEFG
HIJKLMN
OPQRSTU
VWXYZab
cdefghi
jklmnop
qrstuvw

User avatar
muzik
Posts: 5648
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Searching every NxN pattern for oscs/patterns?

Post by muzik » May 11th, 2016, 6:59 pm

A thought like this has been at the back of my mind for a while. This could work out well.

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gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

Re: Searching every NxN pattern for oscs/patterns?

Post by gameoflifeboy » May 13th, 2016, 3:15 pm

drc wrote:remove translations and rotations (I think there are 8 ) and you get [2^45].
Not exactly.

Okay, every 7x7 pattern belongs to one of these symmetries:

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[C1, C2, C4, D2+, D2x, D4+ D4x, D8]
  • Under D8 symmetry, there are 2^10 = 1024 possible patterns. Let's call this number A. As this symmetry cannot be multiplied, none of these patterns are equivalent to each other under transformation.
  • Under C4 symmetry, there are 2^13 possible patterns -- including the one that are also D8. So, there are 2^13 - A = 7168 possible patterns that have C4 as their highest symmetry. Let us call this number B. Each pattern is different from its reversal, making B/2 nonequivalent C4 patterns.
  • Under D4+ symmetry, there are 2^16 possible patterns, again including the D8 ones. Subtracting the D8 patterns gives us 2^16 - A = 64512 distinct soups. Let us call this number C. Again, each pattern can be paired with a distinct partner, this time via rotation by 90 degrees. So there are C/2 nonequivalent D4+ patterns.
  • Under D4x symmetry, there are also 2^16 possible patterns. Subtracting the D8 ones gives us the same number as before: 64512 soups that have D4x as their highest symmetry. We shall also call this number D. And again, each pattern has a rotation by 90 degrees different from itself, so the number of D4x soups nonequivalent under transformation is D/2.
  • Under D2+ symmetry, there are 2^28 patterns with horizontal symmetry lines and 2^28 with vertical ones. Those that have both are precisely the patterns with D4+ symmetry or more. Of these, C have D4+ as their maximum symmetry and A have D8 as their maximum symmetry. So there are 2*(2^28 - A - C) = 2*(2^28 - 2^16) = 536739840 with D2+ as their dominant symmetry. We shall call this number E. As D2+ patterns can be transformed 4 ways to other D2+ patterns, the number of D2+ soups nonequivalent under transformation is E/4.
  • Under D2x symmetry, there are 2^28 patterns with lines of symmetry going down to the right, and another 2^28 where they go down to the left. Those with both are precisely the patterns with D4x symmetry or more. Similarly to the previous calculation, there are A + D of these and therefore 2*(2^28 - A - D) = 536739840 as well. This number shall also be called F. As each of these has 4 different transformations, the total number of nonequivalent D2x soups is F/4.
  • Under C2 symmetry, there are 2^25 possible patterns. Of these, B have a maximum symmetry of C4, C of D4+, and D of D4x. The number of soups with a maximum symmetry of D8 is A. Therefore, the number of soups where C2 is the maximum symmetry is 2^25 - A - B - C - D = 33417216 soups. Let's call this number G. Now, as each soup has 4 different transformations, there are G/4 nonequivalent C2 patterns.
  • Finally, under C1 symmetry, there are 2^49 possible patterns. The number of these that lack any higher symmetry can be found by subtracting the number of soups of each symmetry besides C1: 2^49 - A - B - C - D - E - F - G, or 562948846387200. This number will be called H, and as all of these soups are completely asymmetric, they all change distinctly under each of the 8 possible transformations. So there are H/8 nonequivalent C1 patterns.
To find the total number of soups, we add A + B/2 + C/2 + D/2 + E/4 + F/4 + G/4 + H/8. The answer is that there are 70368882591744 7x7 soups distinct under rotations and reflection around the center.

Rich Holmes
Posts: 55
Joined: October 31st, 2015, 1:13 am

Re: Searching every NxN pattern for oscs/patterns?

Post by Rich Holmes » May 13th, 2016, 10:18 pm

More generally, http://oeis.org/A054247. For n >~ 5, it gets pretty close to 2^{(n^2)}/8, because almost every random soup has no symmetry so is equivalent to 7 others under rotations and reflections. I wrote about this a while back here: https://mathematrec.wordpress.com/2015/10/25/a054247/. For n = 0 to 12 the series is 1, 2, 6, 102, 8548, 4211744, 8590557312, 70368882591744, 2305843028004192256, 302231454921524358152192, 158456325028538104598816096256, 332306998946229005407670289177772032, 2787593149816327892769293535238052808491008.

User avatar
gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

Re: Searching every NxN pattern for oscs/patterns?

Post by gameoflifeboy » May 14th, 2016, 7:40 pm

I once made a soup searcher for NxN patterns by hacking apgsearch. I call it XxXsearch (say "x by x search"). Each time you start the script, it prompts you to enter a rule (only life-like rules are supported) and edge length. If you search under specifications that were searched before, the script will continue where it left off. After every NxN soup has been searched, the script will automatically finish.

I have uploaded this script as an attachment, as well as a script for compiling all the searches of a particular rule/edge-length into a single file.
XxXsearch.zip
(150.6 KiB) Downloaded 264 times
It also has support for a list of names. Save this as names.txt in Golly's data directory:

Code: Select all

xp2_7 Blinker
xp2_7e Toad
xp2_318c Beacon
xp2_2a54 Clock
xp2_31ago Bipole
xp2_0g0k053z32 Quadpole
xp2_g8gid1e8z1226 Great on-off
xp2_rhewehr Spark coil
xp2_31a08zy0123cko Quadpole on ship
xp2_g0k053z11 Tripole
xp2_wbq23z32 Trans-beacon and table
xp2_j1u062goz11 Cis-beacon and dock
xp2_318c0f9 Cis-beacon and table
xp2_31egge13 Test tube baby
xp2_0c813z255d1e8 Cis-beacon and anvil
xp2_ca9baiczw32 1 beacon
xp2_25a88gz8ka221 Tub test tube baby
xp2_03lk453z6401 Trans-beacon and dock
xp2_c8b8aczw33 Griddle and block
xp2_3hu0og26 Cis-beacon up and long hook
xp2_318c0f96 Cis-beacon and cap
xp2_ca1n0brz330321 Fore and back
xp2_318c0fho Cis-beacon down and long hook
xp2_wgj1u0og26z25421 20P2
xp2_4k1v0ciczw11 Griddle and beehive
xp2_8e1t2gozw23 21P2
xp2_03lk46z6401 Trans-beacon up and long hook
xp2_w8o0uh3z32 Trans-beacon down and long hook
xp2_318czw3553 Trans-beacon and cap
xp2_xoga13z253 Bipole on boat
xp2_256o8gzy120ago Quadpole on boat
xp2_xrhewehrz253 Boat on spark coil
xp2_69b8baiczx32 22P2
xp2_8ki1688gzx3421 4 boats
xp2_mlhewehrz1 Spark coil with G
xp2_c8b8acz0253 Griddle and boat
xp2_wo44871z6221 Eater plug
xp2_03544oz4a511 Odd test tube baby
xp2_69b8b9iczx32 26P2
xp2_caabaiczw32 18P2.471
xp2_gbhewehrz01 Monotub spark coil
xp2_og2t1e8z6221 18P2.48
xp2_33gv1og26 Z and block and cis-beacon
xp2_wbq2sgz32 Beacon and two tails
xp2_xoga13z653 Bipole on ship
xp2_03544ozcid11 Beehive test tube baby
xp2_09v0c813z321 23P2
xp2_c88b9iczw32 Mangled 1 beacon
xp2_rb88brz0103 Griddle and blocks
xp2_rb88czx318c Z and block and trans-beacon
xp2_03544ozoid11 Claw test tube baby
xp2_04aab96zc813 Racetrack and ortho-beacon
xp2_04s0v1a8z699611 Griddle and table siamese pond
xp2_318c0s48gzw359611 R-loaf at R-loaf and beacon
xp2_6a88baiczx32 24P2
xp2_gk2t2sgzw23 16P2.89
xp2_rhewehv0rr Spark coil with long cap and blocks
xp2_y3g8o652zxoga02z653 Boat on quadpole on ship
xp2_0318cz255d96 Racetrack and cis-beacon
xp2_0318cz6511dik8 Dock with ortho-loaf and cis-beacon down
xp2_03lkmzojc0cjo Lightbulb with cis-hook
xp2_04a96z31d153 Griddle and loaf
xp2_04aab871zc813 Trans-beacon and anvil
xp2_06996z31d153 Griddle and pond
xp2_0c813z65115a4 Dock with tub and cis-beacon up
xp2_0c8b8acz651156 Griddle and dock
xp2_0ca96z69996zx3552 O and cis-shift-R-bee and R-loaf
xp2_0ckggka52zog26 Dock with trans-barge and trans-beacon down
xp2_0c813z6511da4 Dock with cis-boat and cis-beacon up
xp2_31agozca22ac Cis-bipole and dock
xp2_c813z319f0cc Siamese tables and trans-block and cis-beacon up
xp2_c813z319lic Para-loaf with long leg and cis-beacon up
xp2_c88b96z330318c Worm and cis-beacon and block
xp2_g45h1sz03 Fox
xp2_0318cz259d1d96 Cis-beacon and inflected very long worm
xp2_0318cz69d1da Cis-beacon up and hooked worm
xp2_0318cz69d552 Racetrack and para-beacon
xp2_0318czad1d96 Cis-beacon down and hooked worm
xp2_0c8b8q4oz253x1 19P2.1004
xp2_og2t1acz6221 18P2.49
xp2_32hu0og26 Hooked leg and cis-beacon up
xp2_0g886ll2z8llc221 22P2.339 with R-bees
xp2_0mlhewehrz32 Spark coil with long G
xp2_0mlhikoz346w62go Very very long coil with claw and beacon
xp2_0ok2qbz643x23 19P2.362
xp2_253gv1og26 Z and cis-boat and cis-beacon
xp2_259acz069996zx6513 O and trans-shift-hook and R-mango
xp2_318c0fhu0oo Long folded legs with block and cis-beacon down
xp2_318cz3115a4 Tub with long leg and cis-beacon down
xp2_318cz39d113 Cis-beacon and carrier table
xp2_318czw311da4 Cis-boat with long leg and trans-beacon down
xp2_31ago0ui Cis-bipole and table
xp2_31ago0uic Cis-bipole and cap
xp2_31agozwca22ac Trans-bipole and dock
xp2_31agozy1350ko D2 bipole on bipole
xp2_31ege11ego 18P2.84
xp2_330fhewehr Spark coil with long R-bee and trans-block
xp2_354ljgz0gjk443z3201 Shift O and trans-hook and house
xp2_3p6gmkkozw1046 21P2.748
xp2_4aarhewehr Spark coil siamese hat
xp2_4alhewehr Honeycombinatorial spark coil
xp2_4k1u1k4zw121 Why not
xp2_4k1v0bdzw11 Griddle and snake
xp2_4k1v0fhozw11 Cis-griddle and long hook
xp2_62go1vg4c Z siamese carrier and cis-beacon
xp2_62sggm96zw62go Beehive with long leg siamese eater and cis-beacon up
xp2_64132arzx32 Cis-beacon up and table siamese carrier
xp2_6is0gbaiczw3452 Great on-off siamese hook
xp2_c4o0ehhe0eicz321 O and cis-shift-house and R-bee
xp2_c813z3115a4 Tub with long leg and cis-beacon up
xp2_c813z3115ac Trans-boat with long leg and cis-beacon up
xp2_c813z311da4 Cis-boat with long leg and cis-beacon up
xp2_c813z35t1eozx11 Drill and cis-beacon down
xp2_c813z39d1e8 Cis-beacon down and alef
xp2_c8b8acz0653 Griddle and ship
xp2_c8b8acz3113156 Griddle and shoe
xp2_c8b8acz3303156 Griddle and block and hook
xp2_c8b8acz3553 Griddle and cap
xp2_c8b8q4oz33x1 18P2.23
xp2_caab9iczw32 18P2.466
xp2_ci9b8brzw103 20P2.101
xp2_g6t1qbz11y023 Shillelagh siamese hook down and beacon
xp2_gk2u0uh3zw23 Trans-griddle and long hook
xp2_gwci96zh15dz11 Mango with long leg and cis-beacon down
xp2_kc0vhewehrz11 Spark coil with long cap and snake
xp2_rhewehewehr Temporally aligned piston with long beehive
xp2_s0i0j0ezw1 12P2.5
xp2_w8o0uh32acz32 Eater siamese long hook and trans-beacon down
xp2_wca9bqiczc813 Trans-beacon down and Z siamese coil with hook
xp2_wg0k053z642 Pentapole
xp2_03lkl3zojc0cjo Lightbulb with house
xp2_25t2kgz2552 Bent wedding ring
xp2_0318cz65115a4 Dock with tub and cis-beacon down
xp2_35acz31d153 Griddle and long ship
xp2_4k1v0f9zw11 Griddle and table
xp2_xohf0318cz253 Trans-beacon up and long hook on boat
xp2_ci6kihewehrzw11 Spark coil with puddle
xp2_ciabgzx254c Odd on-off
xp2_gk2u0mp3zw23 Para-griddle and shillelagh
xp2_0318cz69ll913 Beehive bend very very long leg and cis-beacon
xp2_0ggoge11egoz346 Test tube baby siamese coil
xp2_c813z311dic Beehive with long leg and cis-beacon up
xp2_02llmzojc0cjo Lightbulb with R-bee
xp2_0318cz6511d93 Cis-beacon and very very long hook siamese carrier
xp2_069baa4zc813 Racetrack and trans-beacon
xp2_252sws2552zy011 Tub-beehive test tube baby
xp2_2552sws2552zy111 Beehives test tube baby
xp2_318c0c4oz06511dd 23P2.2103
xp2_318c0fh8o Hooked leg and cis-beacon down
xp2_318cz3115ac Trans-boat with long leg and cis-beacon down
xp2_318cz311dic Beehive with long leg and cis-beacon down
xp2_318czc87113 Trans-beacon up and para-eater siamese table
xp2_03544ozca511 Trans-boat test tube baby
xp2_25t2kgz6952 Odd wedding ring
xp2_c813z31178c Cis-beacon up and para-eater siamese table
xp2_y1g0k053zg8kc32z01 Quadpole on long boat
xp2_06a88a53zc813 Dock with trans-boat and trans-beacon down
xp2_0ggm952z344ko Ortho-loaf test tube baby
xp2_25a88czc813 Tub with long leg and trans-beacon up
xp2_wca9e0eiczc813 Trans-beacon and table siamese loaf and trans-R-bee
xp2_318czw311dic Beehive with long leg and trans-beacon down
xp2_g8gid1e8z122ac Hungry on-off
xp2_wgbq2sgz642 Bipole and two tails
xp2_xg0k053zca02 Hexapole
xp2_39u0og26z023 Cis-beacon and shoe
xp2_69b8bqicz0318c 24P2.3949
xp2_03544oz4ad11 Cis-boat test tube baby
xp2_318c0sicz02553 R-bee on R-bee and beacon
xp2_318czwbd1da Trans-beacon up and R-omega
xp2_ciab8brzw103 20P2.102
xp2_gbhewehrz11 Spark coil with boat
xp2_025t2kgz4a952 Wedding ring with mango
xp2_0318cz255d553 Trans-beacon and very long beehive siamese eater
xp2_0318cz69d596 Cis-beacon up and buckle
xp2_0318czad1d553 Hook with very very long leg siamese eater and cis-beacon
xp2_039c8a6zc813 Trans-beacon down and carrier siamese hook
xp2_03lk64koz6401 Trans-eater siamese hook and beacon
xp2_g3l0k26z11w23 Skewed quad
xp2_caab8ozw7e Long Z with tail and toad
xp2_rhe44ewehr Piston
xp2_0iu0oga13z643 Trans-bipole and shoe
xp2_69b8r96zciq2ric Double spark coil
xp2_c4owg0k053z643032 Cis-quadpole and dock
xp2_256o808ozxg999gzx110116a4 Spark coil on diagonal boats
xp2_25acz31d153 Griddle and long boat
xp2_4a4owo4a96zx1221 Tub-ortho-loaf test tube baby
xp2_69960u2kgzx6952 23P2.2786
xp2_g318czdd115ak8 Z with barge and block and beacon
xp2_y3g8o653zxoga02z653 Ship on quadpole on ship
xp2_0ci5lmz32101046 R-bee with long nine and beacon
xp2_0c813z65115ak8 Dock with barge and cis-beacon up
xp2_318cz311da4 Cis-boat with long leg and cis-beacon down
xp2_318czcid1156 Dock with beehive and trans-beacon up
xp2_31agozy135a4 Bipole on long boat
xp2_35453z255dic Spark coil with long beehive siamese beehive
xp2_4k1u1k4zx1 By flops
xp2_62go0u1u066zy21 Very long beehive and block and cis-beacon up
xp2_woga13zdb Bipole on snake
xp2_69e0ehhe0e96 O between cis-R-bees
xp2_318czw3115ac Trans-boat with long leg and trans-beacon down
xp2_0c813z69d1dic Beehive with worm and cis-beacon up
xp2_0g0kc0fhoz32 Trans-bipole up and hook
xp2_4k1v0j96zw121 Griddle key with claw
xp2_c813z311dio Claw with long leg and cis-beacon up
xp2_33gv1a8z03421 Loaf-griddle and block
xp2_318czw3115a4 Tub with log leg and trans-beacon down
xp2_8kaabaiczw103 Sad face
xp2_g88e13z1219mge2 On-off with gull
xp2_xg8o653zca02 Tripole on ship
xp2_4k1v0brzw121 Griddle key and block
xp2_25a88gz8kq221 Tub-cis-boat test tube baby
xp2_6a88b9iczx32 18P2.419
xp2_og2t1eoz6a871 23P2.2570
xp2_wca9e0eik8zc813 Trans-beacon and table siamese loaf and trans-R-loaf
xp2_31egge123 Hook test tube baby
xp2_6t1e8zw1168bqic Two tied paperclips
xp2_259e0ehhe0ehhe0e952 OO between cis-R-loaves
xp2_3lgh1lo 14P2.2
xp2_069b871zgs2qic Lightbulb with R-loaf
xp2_ciabi2sgzx2543 On-off siamese two tails
xp2_md321pmz1221321 Washing machine
xp2_g88m9b88gz11078mh943 Trash bag
xp2_31ago0uh3 Cis-bipole up and long hook
xp2_32qbzx1050ko Trans-quadpole and table
xp2_0ca1n0brz2530321 Fore and back with boat
xp2_31agozx6aa6 Trans-bipole and cap
xp2_882030kgz010602 Phoenix 1
xp2_c8b8acz31d153 Symmetric griddles
xp2_y1gj1u066z6a88b401z033 Trans-block and dock plug
xp2_gk2t2kgzw252 Why bother
xp2_j5g29jz11w11 Quad
xp2_ok46164k8zy31221e8 Eater-antlers plug
xp2_pl144ozx64207 Thunk's P2
xp2_rb8n98czw230318c Sfastika with beacon
xp2_xg88ge1e8z8kkl2zx1 Hungry hat plug
xp2_y1gj1u0ooz6a88b401zx33 Cis-block and dock plug
xp3_co9nas0san9oczgoldlo0oldlogz1047210127401 Pulsar
xp3_695qc8zx33 Jam
xp3_025qzrq221 Trans-block and long hook eating tub
xp3_4hh186z07 Caterer
xp3_025qz32qq1 Candlefrobra
xp3_4a422hu0696 Beehive and long hook eating tub
xp3_2530fh884a4 Para-boat and long hook eating tub
xp3_g8o0uh224a4z01 Trans-boat and long hook eating tub
xp3_025qzraaahz08kb Cis-mirrored long hook eating tub
xp3_0g31u0ooz345d Cuphook with cis-block and loop
xp3_0g8o0uh224a4z121 Trans-long boat down and long hook eating tub
xp3_32q4w8ozxdd11 Cuphook with cis-block
xp3_6a889b8ozx33 Eater cuphook
xp3_g31u0oozd543 Ringing telephone and block
xp3_0g31u06a4z345d Cuphook with loop and trans-boat up
xp3_178b988a6zx253 Ringing telephone and cis-boat
xp3_178b988a6zx6996 Ringing telephone and pond
xp3_6a889b8ozw653 Eater cuphook with cis-ship
xp3_31ecsggsce13 Cis-skewed poles
xp3_0g31u0ok8z345d Cuphook with loop and cis-boat down
xp3_8k4o0uh224a4zw1 Cis-loaf and long hook eating tub
xp3_j1u0uh224a4z11 Dock and long hook eating tub
xp3_o4o0uh224a4z01 Trans beehive and long hook eating tub
xp3_4a422hu06a4 Cis-boat and long hook eating tub
xp3_0q52z122qj4c Carrier on long hook eating tub
xp3_4a422hu06ac Cis-ship and long hook eating tub
xp3_25960uh224a4 Para-loaf and long hook eating tub
xp3_025qzraaq1 Table and long hook eating tub
xp3_4a422hu0okc Cis-ship up and long hook eating tub
xp3_2524sws4252 Bent keys
xp3_0g31u0696z345d Cuphook with loop and trans-beehive
xp3_ml1u08oz11078c 22P3.49
xp3_04qi3s4z33w1 Trice tongs
xp3_0q52z122qb96 Coil siamese long hook eating tub
xp3_0q52z122qj96 Long hook eating tub with cis-hook
xp3_4a422hu06996 Cis-pond and long hook eating tub
xp3_178b988a6zx2552 Ringing telephone and beehive
xp3_2560uh224a4 Ortho-boat and long hook eating tub
xp3_04s0s2arzc97078c Ringing telephone and trans-shoe
xp3_2524sws44a4 Odd keys
xp3_g31u0ooz11078c Integral cuphook
xp3_g88rb88gz11w8kb Block and hook siamese long hook eating tub
xp3_8e1v04cz330346 Eater cuphook with tail
xp3_w25qzgbai21z121 Trans-loaf and long hook eating tub
xp3_32aczy0354c Two eaters
xp3_4a422hu069a4 Ortho-loaf and long hook eating tub
xp3_31egozy231e8 Eater eating integral
xp3_3lkmkkmicz32w46 22P3.54 siamese hook
xp3_0gilligoz32w46 Eater cuphook with beehive
xp3_31ecsggocca4 Bent key and skewed pole
xp3_g31u0ok8zd543 Ringing telephone and trans-boat
xp3_0g31u066z345d Cuphook with loop and trans-block
xp3_0q52z122qj4ko Broken house on long hook eating tub
xp3_25ac0fh884a4 Cis-long boat and long hook eating tub
xp3_03p606p3z252x252 Short hooks eating tubs
xp3_32q4w8ozx11dd Cuphook
xp3_3560uh224a4 Cis-ship up and long hook eating tub
xp3_4a422hu0uic Cap and long hook eating tub
xp3_4akggid1e8zy066 Cuphook with loop and tub and cis-block
xp3_6a889b8ozw253 Eater cuphook with trans-boat
xp3_8u1v04cz230346 Eater cuphook with tail siamese table
xp3_c40v1ooz4a43 Tub eater cuphook
xp3_co9na4oggzw12e Two pulsar quadrants
xp3_g6pb88gz1108kb Long integral siamese long hook eating tub
xp3_2522ewe2252 Short keys
xp3_g88bbgz11w254ko Cuphook with cis-block and nine
xp4_37bkic Mold
xp4_ssj3744zw3 Mazing
xp4_8eh5e0e5he8z178a707a871 Cloverleaf
xp4_8eh5e0e5he8gz178a707a871 Cloverleaf + 1
xp4_xcikb73z2553 Para-mold on R-bee
xp4_037bkicz6953 Trans-mold on r-loaf
xp4_hv4a4vh Monogram
xp4_3lk453z34ats Cis-mold and dock
xp4_03lozsta43123 Mold siamese snake and long snake
xp4_037bkicz2553 Ortho-mold on R-bee
xp4_ciq3k3qiczcimgagmiczx343 Cloverleaf + 3
xp4_cikb73zx359a4 Ortho-mold on R-mango
xp4_xcikb73z6953 Para-mold on R-loaf
xp4_03lk453zsta43 Cis-mold and dock
xp5_idiidiz01w1 Octagon II
xp5_3pmwmp3zx11 Fumarole
xp5_2mq3sggozx346 Elkies' p5
xp6_ccb7w66z066 Unix
xp6_w8o0uh224a4z32 Trans-beacon down and long hook eating tub
xp6_4a422hu0og26 Cis-beacon up and long hook eating tub
xp6_wq52z01aq23z32 Trans-beacon up and long hook eating tub
xp6_318c0fh884a4 Cis-beacon down and long hook eating tub
xp8_gk2gb3z11 Figure 8
xp8_g3jgz1ut Blocker
xp8_wgovnz234z33 Coe's p8
xp8_25du4szx327ba4 Achim's p8
xp8_2erore2z07x7 Smiley
xp8_66625dw660uic Cis-blocker and cap
xp14_j9d0d9j Tumbler
xp15_4r4z4r4 Pentadecathlon
xp15_4r4y14r4z4r4y14r4 Bi-pentadecathlon 1
xp15_co9nas0san9oczgoldlo0oldlogxuquz1047210127401xfbf Pulsar on pentadecathlon 1
xp15_g0444g0g4440gy14r4z30kkk303kkk03y14r4z70ggg707ggg07 Pulsar on pentadecathlon 2
xp15_4r4y0oge2z4r4 Pentadecathlon on eater
xp15_4r4y0oge13z4r4 Pentadecathlon on integral
xp15_sksy0j1u066zvnvy011 Pentadecathlon on dock and trans-block
xp15_sksy1vtvzvnvy1757 Offset bi-pentadecathlon
xp24_co9nas0san9oczgoldlo0oldlogy0ggz1047210127401y01581qo Trans-pulsar on figure 8
xp30_w33z8kqrqk8zzzx33 Trans-queen bee shuttle
xp30_w33z8kqrqk8zzzw33 Cis-queen bee shuttle
xp30_32aczw8kqrqk8zzzy133 Shortened E-buckaroo
xp30_31egoxg0ozy22587oy633 Shortened Z-buckaroo with integral
xp30_31egoy5g8gzyafn872x33 Z-buckaroo with integral
xp30_ccx8k2s3zy3103y531e8 E-buckaroo
xp30_0mligz32w23zzy015aia51zy2oo Shortened Z-buckaroo with cis-boat up and dock
xp30_3lkkl3z32w23zzy015aia51zy3oo Shortened E-buckaroo with mirrored dock
xp30_oox8k2s3zy3103y531e8 Buckaroo
xp30_32aczw8kqrqk8zzzy033 Shortened buckaroo
xp30_31egoy5g8gzyafn872x66 E-buckaroo with integral
xp30_w33z8kqrqk8zzy3gggozy27ddfoy0cx33 Berger's P30
xp30_y1ok46164kozz3589853zzw66 Shortened Z-buckaroo with antlers
xp46_330279cx1aad3y833zx4e93x855bc Cis-twin bees shuttle
xp46_330279cx1aad3zx4e93x855bcy8cc Trans-twin bees shuttle
xp46_033y133zzzckgsxsgkczz0cc Twin bees shuttle
xq4_153 Glider
xq4_6frc Lightweight spaceship
xq4_27dee6 Middleweight spaceship
xq4_27deee6 Heavyweight spaceship
xq4_27dee6z4eb776 MWSS on MWSS 1
xq4_27de6z4eb7776 LWSS on HWSS 1
xq4_27du6ze98885 LWSS on MWSS 3
xq4_27dee6zw4eb776 MWSS on MWSS 2
xq4_27de6z4eb776 LWSS on MWSS 1
xq4_27deee6z4eb7776 HWSS on HWSS 1
xq4_0791h1az8smec LWSS on MWSS 2
xq4_27dee6zx8smeeec MWSS on HWSS 4
xq4_sighgazz791hh1a MWSS on HWSS 6
xq4_06eed72zaghgis MWSS on MWSS 4
xq4_027deee6z8smec LWSS on HWSS 4
xq4_27dumze988885 LWSS on HWSS 7
xq4_27due6ze98885 MWSS on MWSS 5
xq4_677be4zx48889e MWSS on MWSS 3
xq4_sighgazz791hh1a MWSS on HWSS 6
xq4_27de6z8smeeec LWSS on HWSS 5
xq4_27de6zw8smeeec LWSS on HWSS 3
xq4_06eeed72z677be4 MWSS on HWSS 3
xq4_6ed72z6777be4 LWSS on HWSS 2
xq4_6eeed72zaghgis MWSS on HWSS 10
xq4_0791hh1az8smeec MWSS on HWSS 12
xq4_6eed72zaghhgis MWSS on HWSS 14
xq4_0aghhgiszza1h197 MWSS on HWSS 8
xq4_27dee6z4eb7776 MWSS on HWSS 2
xq4_27dee6zw4eb7776 MWSS on HWSS 1
xq4_aghgiszza1hh197 MWSS on HWSS 7
xq4_027deee6zsighhga HWSS on HWSS 6
xq4_06eeed72zcems8 LWSS on HWSS 6
xq4_0sighhgazz791h1a MWSS on HWSS 5
xq4_27duu6ze988885 MWSS on HWSS 13
xq4_27duue6ze988885 HWSS on HWSS 7
xq4_a1hh197zx6777be4 HWSS on HWSS 9
xq4_aghhgiszzwa1hh197 HWSS on HWSS 5
xq16_gcbgzvgg826frc Coe ship
xs4_33 Block
xs4_252 Tub
xs5_253 Boat
xs6_696 Beehive
xs6_356 Ship
xs6_25a4 Barge
xs6_39c Aircraft carrier
xs6_bd Snake
xs7_2596 Loaf
xs7_25ac Long boat
xs7_178c Eater 1
xs7_3lo Long snake
xs8_6996 Pond
xs8_69ic Mango
xs8_25ak8 Long barge
xs8_35ac Long ship
xs8_3pm Shillelagh
xs8_178k8 Tub with tail
xs8_312ko Canoe
xs8_31248c Long long snake
xs8_32qk Hook with tail
xs9_31ego Integral sign
xs9_178ko Trans-boat with tail
xs9_4aar Hat
xs9_25ako Long long boat
xs9_178kc Cis-boat with tail
xs9_312453 Long shillelagh
xs9_25a84c Tub with long tail
xs9_g0g853z11 Long canoe
xs9_178426 Long hook with tail
xs9_31248go Long long long snake
xs10_g8o652z01 Boat-tie
xs10_35ako Long long ship
xs10_32qr Block on table
xs10_178kk8 Beehive with tail
xs10_69ar Loop
xs10_358gkc Cis-shillelagh
xs10_g0s252z11 Integral with tub
xs10_0drz32 Carrier siamese snake
xs10_3215ac Boat with long tail
xs10_3542ac Long integral
xs10_1784ko Claw with tail
xs10_ggka52z1 Trans-barge with tail
xs10_g8ka52z01 Long long barge
xs10_0cp3z32 Carrier siamese carrier
xs10_0j96z32 Long long shillelagh
xs10_4al96 Loaf siamese barge
xs10_178ka4 Cis-barge with tail
xs10_31eg8o Integral with hook
xs10_xg853z321 Long long canoe
xs10_drz32 Snake siamese snake
xs10_ggka23z1 Trans-fuse with two tails
xs10_25a8426 Tub with long long tail
xs10_2eg853 Cis-hook with tail
xs10_1784213 Long long hook with tail
xs10_wg853z65 Long long long long snake
xs11_g8o652z11 Boat-ship-tie
xs11_g0s453z11 Elevener
xs11_ggm952z1 Trans-loaf with tail
xs11_69lic Loaf siamese loaf
xs11_178jd 11-loop
xs11_178kic Cis-loaf with tail
xs11_2530f9 Cis-boat and table
xs11_g0s253z11 Trans-boat with nine
xs11_ggka53z1 Trans-long boat with tail
xs11_2ege13 Hungry hat
xs11_g0s256z11 Cis-boat with nine
xs11_2560ui Trans-boat and table
xs11_178b52 Boat bend tail
xs11_3586246 Inflected snake
xs11_g8ka52z11 Long long long boat
xs11_31461ac Inflected carrier
xs11_31e853 Inflected eater
xs11_178c4go Cis-eater siamese carrier
xs11_32132ac Trans-eater siamese snake
xs11_69jzx56 Long long long shillelagh
xs11_354c826 Trans-eater siamese carrier
xs11_25icz65 Tub with long long long tail
xs11_256o8go Boat on snake
xs11_08o652z32 Boat on carrier
xs11_25a84ko Long integral with tub
xs11_3542156 Long long integral
xs11_178ka6 Cis-long boat with tail
xs11_69jzx123 Long cis-shillelagh
xs11_358gka4 Cis-shillelagh with tub
xs11_178c48c Cis-eater siamese snake
xs11_0cp3z65 Carrier siamese long snake
xs11_25akg8o Trans-barge with long tail
xs11_4ai3zx123 Long cis-hook with tail
xs11_31eg84c Long hooked integral
xs11_35a8426 Boat with long long tail
xs11_17842ac Long claw with tail
xs11_0drz65 Snake siamese long snake
xs11_0g0s252z121 Tub line tub
xs11_25iczx113 Tub with kinked tail
xs11_wg84213z65 Long long long canoe
xs11_3215a8o Trans-fuse with tail and long tail
xs11_g88a52z23 Tub line hook
xs11_17842sg Trans-long fuse with two tails
xs11_03ia4z65 Long long hook with tail
xs11_321eg8o Amphisbaena
xs11_xg853zca1 Long long long long long snake
xs12_g8o653z11 Ship-tie
xs12_raar Table on table
xs12_330f96 Block and cap
xs12_330fho Trans-block and long hook
xs12_178c453 Eater siamese eater
xs12_178br Block and two tails
xs12_3hu066 Cis-block and long hook
xs12_256o8a6 Eater on boat
xs12_2egm93 Snorkel loop
xs12_6960ui Beehive and table
xs12_o4q552z01 Beehive at beehive
xs12_2egm96 Beehive bend tail
xs12_0ggm96z32 Beehive with nine
xs12_0g8o652z121 Boat on long boat
xs12_69iczx113 Trans-mango with tail
xs12_g4q453z11 Inverted double claw
xs12_3123cko Ship on snake
xs12_31egma Trans-snorkel loop
xs12_651i4ozx11 Double claw
xs12_0g8ka52z121 Long long long barge
xs12_0g8o652z23 Boat on eater
xs12_0ggm93z32 Claw with nine
xs12_3560ui Trans-ship and table
xs12_0ggs252z32 Gull with tub
xs12_6530f9 Cis-ship and table
xs12_178kia4 Cis-mango with tail
xs12_32qj4c Cis-carrier on table
xs12_3542ako Boat with long nine
xs12_5b8ozx123 Hooked gull
xs12_354qic 12.50
xs12_g8ka53z11 Long long long ship
xs12_0g0s256z121 Tub line cis-boat
xs12_252sga6 Tub with inflected tail
xs12_3215ako Long boat with long tail
xs12_08o653z32 Ship on carrier
xs12_31eozx123 Trans-eater siamese eater
xs12_0gbaa4z121 Tub line tail
xs12_0ggka52z32 Trans-barge with nine
xs12_0g8ka52z23 Trans-long barge with tail
xs12_358m93 Inverted hook with claw
xs12_4ai3s4zx1 Cis-fuse with two tails
xs12_178c2ko Trans-hook with eater
xs12_35icz65 Boat with long long long tail
xs12_178ka52 Cis-long barge with tail
xs12_35iczx113 Boat with kinked tail
xs12_g4q552z11 Beetive at claw
xs12_0g0s252z321 Tub line trans-boat
xs12_0g8ge13z23 Trans-fuse with tail and nine
xs12_drz346 Shillelagh siamese snake
xs12_641j4czx11 Carrier bridge carrier
xs12_4s0c93z11 Trans-carrier and table
xs12_642tic 12.104
xs12_0gila4z32 Cis-barge with nine
xs12_354cga6 Cis-hook with eater
xs12_3lozx352 Boat on long snake
xs12_69jzx1246 Long long cis-shillelagh
xs12_32qb8o Rotated table
xs12_03loz643 Trans-eater siamese long snake
xs12_g88a53z23 Trans-boat line hook
xs12_31eg8426 Long long hook with nine
xs12_358mic 12.65
xs12_358gka6 Cis-shillelagh with boat
xs12_3pczw1246 Carrier siamese canoe
xs12_39c0f9 Para-carrier and table
xs12_2ege123 Hook line tail
xs12_628c0f9 Cis-carrier and table
xs12_25a8og8o Tub with tail siamese snake
xs12_3pcz643 Shillelagh siamese carrier
xs12_25a8og4c Tub with tail siamese carrier
xs12_69jzx1ac Long long long long shillelagh
xs12_31460ui Ortho-carrier and table
xs12_0j96z346 Long long long integral
xs12_8ljgzx252 Tub line long hook
xs12_0g8ka23z23 Cis-tub with tails
xs12_0cq23z65 Cis-eater siamese long snake
xs12_4alla4 Honeycomb
xs12_17842156 Long long claw with tail
xs12_32akg84c Trans-fuse with tail and long long tail
xs12_178ka23 Tub with skew tails
xs12_312312ko Snake siamese canoe
xs12_0g8k871z23 Tub with trans-tails
xs12_32130f9 Para-snake and table
xs12_g88b52z23 Cis-boat line hook
xs12_178k871 Trans-tub with tails
xs12_4ai3zx1246 Long long cis-hook with tail
xs12_321e853 Hook with inflected tail
xs12_kc3213z11 Snake tie snake
xs12_31eg853 Cis-hook with nine
xs12_025iczca1 Tub with long long long long tail
xs12_ci52zw1246 Long cis-shillelagh with tub
xs12_ck3123z11 Snake bridge snake
xs12_25iczw1252 Tub bend line tub
xs12_4ap3z65 Inflected long snake
xs12_5b8og4c Hook with tail siamese carrier
xs12_g853zdb Snake siamese long long snake
xs12_25akg84c Barge with long long tail
xs12_08o6413z32 Carrier tie carrier
xs12_25a842ac Long long integral with tub
xs12_17842ak8 Tub with long kinked tail
xs12_drz1226 Snake siamese hook with tail
xs12_32132qk Hook with tail siamese snake
xs12_358m96 Honeybarge
xs12_31230f9 Ortho-snake and table
xs12_321f84c Snake bonded to snake
xs12_ghn84cz1 Hook with tails
xs12_xg84213zca1 Long long long long canoe
xs12_1784c826 Carrier siamese hook with tail
xs12_3pczw1ac Carrier siamese long long snake
xs12_ck3146z11 Snake bridge carrier
xs12_0gjl8z56 Hook line long hook
xs12_35861ac Inflexion
xs12_0ol3zca1 Long snake siamese long snake
xs12_8o6413z32 Snake tie carrier
xs12_178421e8 Trans-long long fuse with two tails
xs12_3123c4go Cis-snake tie carrier
xs12_4ai3zx1ac Long long long long hook with tail
xs12_g8jdz56 Trans-fuse with two long tails
xs12_0ggc93z641 Cis-carrier tie carrier
xs12_ggdbz65 Cis-snake tie snake
xs12_358gzy012ko Long long long long long long snake
xs12_32qczx113 Cis-eater siamese eater
xs13_g88m96z121 Beehive at loaf
xs13_4a960ui Ortho-loaf and table
xs13_69e0mq R-bee and snake
xs13_0g8o653z121 Ship on long boat
xs13_2530f96 Cis-boat and cap
xs13_321fgkc Snake with coil
xs13_31egma4 Boat bend nine
xs13_32qb96 Head
xs13_g8ge96z121 Beehive on R-bee
xs13_354djo House siamese shillelagh
xs13_31ege13 Krake
xs13_354mp3 Hook siamese shillelagh
xs13_08ka96z321 Loaf at claw
xs13_djozx352 Boat on shillelagh
xs13_0ggm952z32 Trans-loaf with nine
xs13_255q8a6 Beehive on eater
xs13_3hu06a4 Cis-boat down and long hook
xs13_4aarzx123 Eater siamese hat
xs13_2530fho Cis-boat up and long hook
xs13_25960ui Para-loaf and table
xs13_2560uic Trans-boat and cap
xs13_17871ac Cis-hook with hat
xs13_31kmiczw1 Carrier loop
xs13_2eg6p3zx1 13-snorkel loop
xs13_0mk453z121 Trans-boat down and long hook
xs13_0gbaicz121 Snorkel loop with tub
xs13_356o8a6 Eater on ship
xs13_08o696z321 Beehive on hook
xs13_08u156z32 Carrier siamese coil
xs13_0ggs253z32 Gull with trans-boat
xs13_c88a52z33 Tub with long leg and trans-block
xs13_0gil96z32 Cis-loaf with nine
xs13_6970bd Snake and R-bee
xs13_2560uh3 Trans-boat up and long hook
xs13_0g8o652z321 Boat on long ship
xs13_3123qic Snake siamese coil
xs13_259mge2 Loaf bend tail
xs13_354264ko Shillelagh siamese trans-eater
xs13_0ggka53z32 Trans-long boat with nine
xs13_32qj96 13.184
xs13_g8ka23z56 Cis-tub with tail and long tail
xs13_39e0mq Hook and snake
xs13_32qkzx346 Trans-eater siamese hook with tail
xs13_25ac0f9 Cis-long boat and table
xs13_wggm96z252 Tub line beehive
xs13_wggm93z252 Tub line claw
xs13_g6q453z11 Capped inverted double claw
xs13_08ob96z32 Carrier with coil
xs13_0g8o653z23 Ship on eater
xs13_0g8ka53z23 Trans-long long boat with tail
xs13_2ege1e8 Sesquihat
xs13_178n96 13.12
xs13_0gbb8oz121 Tub with long leg and cis-block
xs13_0gbaa4z321 Trans-boat line tail
xs13_035iczca1 Boat with long long long long tail
xs13_g0s2pmz11 13-trans-snorkel loop
xs13_0gbq23z121 Trans-long boat and table
xs13_2lmge2z01 Boat and two tails
xs13_3146178c Ortho-carrier on eater
xs13_39e0db Snake and hook
xs13_358go8a6 Canoe siamese eater
xs13_0g8ka52z321 Long long long long boat
xs13_3pczw1156 Carrier siamese integral
xs13_32arzx123 Trans-eater and table
xs13_0ggs256z32 Gull with cis-boat
xs13_178c0f9 Para-eater and table
xs13_c9jzbd Carrier bit snake
xs13_354c0f9 Cis-eater and table
xs13_0gbaa4z123 Cis-boat line tail
xs13_32hu0oo Hooked leg and trans-block
xs13_25a8oge2 Tub with tail siamese eater
xs13_32hu066 Hooked leg and cis-block
xs13_651i4ozw121 Tub with cis-nine
xs13_352sga6 Trans-boat with inflected tail
xs13_31eg84ko Long claw with nine
xs13_0g0s256z321 Trans-boat line cis-boat
xs13_31e86246 Ortho-snake on eater
xs13_oe1246z23 Long hook with tail siamese snake
xs13_0ggm96z56 Beehive line hook
xs13_31eozx1252 Tub with tail siamese trans-eater
xs13_0gba96z121 Trans-snorkel loop with tub
xs13_wg8o652z65 Boat on canoe
xs13_178ka53 Cis-long long boat with tail
xs13_256o8gkc Shillelagh on boat
xs13_g8ka52z56 Trans-long barge with long tail
xs13_3lozx356 Ship on long snake
xs13_0gjla4z32 Cis-long boat with nine
xs13_32132ako Trans-boat with tail siamese snake
xs13_8ljgzx346 Long hooked gull
xs13_g842156z123 Long double claw
xs13_25b8og8o Cis-boat with tail siamese snake
xs13_o4pb8oz01 Hexagonal key
xs13_ci52z39c Tub with long tail siamese carrier
xs13_6246pic 13.195
xs13_256o8a52 Tub with tail on boat
xs13_ghn871z1 Hat with tail
xs13_0g0s253z321 Trans-boat line boat
xs13_j5c48cz11 13.33
xs13_25akg853 Cis-shillelagh with barge
xs13_178f123 13.1
xs13_32ac0f9 Meta-eater and table
xs13_354215ac Boat with long long nine
xs13_0o4871z643 Trans-fuse with tail and long nine
xs13_0g6p56z121 13.196
xs13_178c48a6 Shillelagh siamese cis-eater
xs13_0o4a52z643 Barge with long nine
xs13_08k8a52z321 Tub with inverted nine
xs13_bdggkczw1 Cis-eater on snake
xs13_25iczw1256 Tub bend line boat
xs13_652sga6 Cis-boat with inflected tail
xs13_wggs252z252 Gull with tubs
xs13_32qbzx113 Ortho-eater and table
xs13_69jwo8zx121 Cis-claw with tail
xs13_32qczx1246 Cis-eater siamese canoe
xs13_0gbq23z23 Shift-eater and table
xs13_31231ego Snake siamese integral
xs13_35a8og4c Trans-boat with tail siamese carrier
xs13_32arz065 Cis-long snake and table
xs13_wggka52z252 Tub line trans-barge
xs13_8ljgzx256 Trans-boat line long hook
xs13_641vg4c Z siamese carriers
xs13_c9jz39c Carrier bit carrier
xs13_ggca52z65 Long boat on snake
xs13_39cggkczx1 Cis-eater on carrier
xs13_17842ako Boat with long kinked tail
xs13_6248n96 13.193
xs13_jhe8z65 Trans-eater on snake
xs13_25iczx1156 Tub with kinked nine
xs13_2ege1246 Long hook line tail
xs13_321egma Trans-snorkel loop with hook
xs13_0cp3z69c Long shillelagh siamese carrier
xs13_c9jzw1156 Eater bridge carrier
xs13_j96zdb Long shillelagh siamese snake
xs13_69jzx1248c Long long long cis-shillelagh
xs13_dj8gzx346 Trans-fuse with tail and long nine
xs13_w8o652zca1 Boat on long long snake
xs13_0ggca52z641 Long boat on carrier
xs13_256o8ge2 Boat on hook with tail
xs13_25b8og4c Cis-boat with tail siamese carrier
xs13_256o8ge2 Boat on hook with tail
xs13_0g4q552z121 Beehive at claw with tub
xs13_0ggka52z56 Trans-barge line hook
xs13_32akg853 Fuse with tail and cis-shillelagh
xs13_3pa4zw1246 Inflected canoe
xs13_32hjkczw1 Snake bridge eater
xs13_178kq23 Boat with skew tails
xs13_31eozca1 Trans-eater siamese long long snake
xs13_4ap3zw1252 Tub with tail with cis-hook
xs13_6421eozx32 Long hook with tail siamese carrier
xs13_ci52zbd Tub with long tail siamese snake
xs13_0ok213zca1 Long snake siamese canoe
xs13_35426853 Inflected shillelagh
xs13_3lo0ui Para-long snake and table
xs13_dbgzbd Snake bit snake
xs13_0j9ak8z121 13.215
xs13_35426853 Shillelagh with cis-hook
xs13_ci53zw1246 Long cis-shillelagh with boat
xs13_3lozc96 Shillelagh siamese long snake
xs13_wgila4z252 Cis-barge line tub
xs13_0ggo8b5z32 Hook with tail siamese trans-eater
xs13_31248gzy212ko Long long long long long canoe
xs13_0g88b52z123 Cis-boat line boat
xs13_0ggm93z56 Hook line claw
xs13_3146pic 13.43
xs13_25a88gzwca1 Tub line long long hook
xs13_69jzwc96 Long long long long integral
xs13_dbgzw1156 Eater bridge snake
xs13_256o8b5 Hook with tail on boat
xs13_3ia4zc93 Carrier siamese long hook with tail
xs13_0g8kq23z23 Cis-boat with tails
xs13_0bq23z65 Ortho-long snake and table
xs13_2ego8b5 Hook with tail siamese eater
xs13_3146o8a6 Trans-eater on carrier
xs13_358mp3 13.35
xs13_03ia4z69c Long long long claw with tail
xs13_1no3146 Carrier and side
xs13_3ia4zw1156 Trans-long fuse with tail and nine
xs13_0kc0f9z32 Trans-long snake and table
xs13_32qczx1ac Cis-eater siamese long long snake
xs13_0354k8z6421 Long cis-hook with nine
xs13_0gila4z56 Cis-barge line hook
xs13_358e1246 Long hook with inflected tail
xs13_ghn8426z1 Long hook with tails
xs13_0ggs252z56 Hooked gull with tub
xs13_178ka246 Tub with skew-tail and long tail
xs13_35akg84c Long boat with long long tail
xs13_2eg8jdzx1 Trans-tub with tail and long tail
xs13_0g8gka52z23 Barge with kinked tail
xs13_259m853 13.38
xs13_6413kczx32 Long snake bridge carrier
xs13_25a8og84c Tub with tail siamese long snake
xs13_wggka23z252 Tub line fuse with tail
xs13_25akg8426 Barge with long long long tail
xs13_0g8o6413z23 Cis-carrier on eater
xs13_1784c871 Cis-eater siamese hook with tail
xs13_4ai3zx1248c Long long long cis-hook with tail
xs13_ci52zw1248c Long long cis-shillelagh with tub
xs13_g8k871z56 Tub with trans-tail and long tail
xs13_31248ge13 Long long long hook with nine
xs13_321eg853 Hook line cis-hook
xs13_ggca23z65 Cis-snake on eater
xs13_0drz254c Snake siamese long hook with tail
xs13_0ggc871z641 Trans-carrier on eater
xs13_3pczw1248c Carrier siamese long canoe
xs13_4ai30o8zx121 Cis-long fuse with two tails
xs13_4ap3zw1213 Hook with hooked tail
xs13_8ljgzx652 Cis-boat line long hook
xs13_ca168ozx32 13.220
xs13_g84213zdb Snake siamese long canoe
xs13_ggc871z65 Trans-snake on eater
xs13_03hik8z252 Tub line cis-hook
xs13_1no3123 Snake and side
xs13_69jzx12ko Long long long long long shillelagh
xs13_gjloz56 Snake bonded to long snake
xs13_j5c4goz11 13.34
xs13_04ap3zca1 Inlfected long long snake
xs13_0g8gka23z23 Trans-fuse with tail and kinked tail
xs13_25icz69c Long long long integral with tub
xs13_358gzw8k96 Tub with long long long long long tail
xs13_358gzxo9a4 Long long long long long hook with tail
xs13_o861acz23 13.161
xs13_0g853zol3 Long snake siamese long long snake
xs13_0g853zrm Snake siamese long long long snake
xs13_0ggka23z56 Hook line fuse with tail
xs13_0gjl8z1ac Long hook line long hook
xs13_0j5ozbc1 Trans-fuse with long tail and long long tail
xs13_1784215a4 Tub with long long kinked tail
xs13_1784cga6 Inflected hook with tail
xs13_25a842ak8 Tub long bend line tub
xs13_2eg8421e8 Trans-long long long fuse with two tails
xs13_3lozx3123 Snake tie long snake
xs13_3lozx3146 Carrier tie long snake
xs13_5b8og84c Hook with tail siamese long snake
xs13_3lozxbd Cis-snake tie long snake
xs13_32akg8426 Trans-fuse with tail and long long long tail
xs13_358gzx6jo Carrier siamese long long long snake
xs13_kq23z1ac Long snake siamese hook with tail
xs13_321eg8426 Hook line long long hook
xs13_ol3zw3213 Snake bridge long snake
xs13_3lozx39c Trans-carrier tie long snake
xs13_31248gzy21248c Long long long long long long long snake
xs13_5b8ozx1213 Gull with hooks
xs14_g88m952z121 Bi-loaf 1
xs14_69bqic Paperclip
xs14_g88b96z123 Big S
xs14_6970796 Cis-mirrored R-bee
xs14_j1u066z11 Block and dock
xs14_69bo8a6 Fourteener
xs14_39e0e93 Bookends
xs14_6is079c Cis-rotated hook
xs14_69e0eic Trans-mirrored R-bee
xs14_39e0eic Trans-hook and R-bee
xs14_39e0e96 Cis-hook and R-bee
xs14_g8o0e96z121 Trans-rotated R-bee
xs14_6960uic Beehive and cap
xs14_69la4ozx11 Barge siamese loaves
xs14_4a9m88gzx121 Bi-loaf 2
xs14_g8o69a4z121 Para-loaf on R-bee
xs14_j1u413z11 Dock siamese carrier
xs14_g4s079cz11 Offset mirrored hook
xs14_3hu0696 Cis-beehive and long hook
xs14_g8id96z121 Loaf kiss beehive
xs14_31egm96 Beehive bend nine
xs14_1no3tg Sidewalk
xs14_2egu156 Long coil with tail
xs14_o4s079cz01 Para-hook and R-bee
xs14_i5q453z11 Long inverted double claw
xs14_31ego8a6 Integral siamese eater
xs14_39e0eio Trans-mirrored hook
xs14_g88q552z121 Beehive on R-loaf
xs14_o4id1e8z01 Mango bend tail
xs14_g2u0696z11 Trans-beehive and long hook
xs14_0g8o653z321 Ship on long ship
xs14_g88m552z121 Ortho-loaf on R-bee
xs14_mmge13z1 Block and tail and nine
xs14_69960ui Pond and table
xs14_08o69a4z321 Para-hook on loaf
xs14_08o6952z321 Ortho-hook on loaf
xs14_c88a53z33 Trans-boat with long leg and trans-block
xs14_08o0e96z321 Meta-hook and R-bee
xs14_0mk453z321 Trans-ship down and long hook
xs14_65p68ozx11 14.487
xs14_08u1e8z321 Hat siamese hook
xs14_69arzx123 Trans-loop siamese eater
xs14_69f0f9 Cap and table
xs14_32qj4ko Broken house on table
xs14_08o0e93z321 Trans-rotated hook
xs14_g4s0796z11 Shift-hook and R-bee
xs14_4a9raa4 Racetrack II siamese hat
xs14_3hu0ui Long hook and table
xs14_69akgkczx1 Eater on loaf
xs14_6970si6 Ortho-hook and R-bee
xs14_c88e13z33 Trans-block and para-eater siamese table
xs14_0gbaa4z343 Beehive line tail
xs14_0cq1e8z321 14.244
xs14_08u1acz321 14.246
xs14_259e0mq R-loaf and snake
xs14_0g8ob96z23 Eater siamese coil
xs14_3hu0okc Cis-ship up and long hook
xs14_4a9ria4 Paperclip II
xs14_6530f96 Cis-ship and cap
xs14_c88b52z33 Cis-boat with long leg and trans-block
xs14_65la4ozx11 R-bee on loaf
xs14_wggm93z643 Gull with claw
xs14_djozx356 Boat on shillelagh
xs14_3560uic Trans-ship and cap
xs14_69jzx12453 Long long double claw
xs14_ci96zw1156 Cis-mango with nine
xs14_65pa4ozx11 14.488
xs14_3560uh3 Trans-ship up and long hook
xs14_3hu06ac Cis-ship down and long hook
xs14_0gbb8oz321 Trans-boat with leg and cis-block
xs14_256o8a53 Trans-boat with tail on boat
xs14_0gbaicz321 Snorkel loop with boat
xs14_4aaraa4 Hat siamese hat
xs14_31egm93 Double snorkel loop
xs14_69iczx1156 Trans-mango with nine
xs14_dbgzmq1 Snake underscore snake
xs14_0g8ehrz121 House siamese tub with long tail
xs14_cai3zbd Snake bit trans-eater
xs14_0md1e8z32 Coil siamese long snake
xs14_178f1e8 Eater bonded to eater
xs14_354cgs26 Cis-eater bridge eater
xs14_o8brzx123 Cis-block and para-eater siamese table
xs14_69ak8zx1252 Loaf at claw with tub
xs14_wggca52z2521 Long boat on long boat
xs14_354c32ac Eater on eater
xs14_64pb8ozx11 Carrier on cap
xs14_wggm96z643 Gull with beehive
xs14_64132qr Block and table siamese carrier
xs14_0gbqicz23 Coil siamese eater
xs14_g84q552z121 Beehive at mango
xs14_0gbb8oz123 Cis-boat with leg and trans-block
xs14_o4s0796z01 Offset mirrored R-bee
xs14_0gbap3z121 Tub with long leg and trans-snake
xs14_g6pb8oz11 Long integral siamese table
xs14_3542tic 14.98
xs14_i5q8a6z11 14.99
xs14_64lb8ozw11 Hook on hook
xs14_c88a52z352 Tub with long leg and cis-boat down
xs14_33gv146 Z siamese carrier and block
xs14_8o0uh3z23 Shift-long hook and table
xs14_3lmge2z01 Ship and two tails
xs14_2552sga6 Beehive with inflected tail
xs14_08u156z65 Long snake siamese coil
xs14_6421fgkc Long snake with coil
xs14_j5s252z11 14.72
xs14_178jq23 Staff and table
xs14_178c2ego Trans-eater bridge eater
xs14_wgil96z252 Tub line cis-loaf
xs14_wggm952z252 Tub line trans-loaf
xs14_0m2s53z121 House with tub siamese shillelagh
xs14_65la8czw11 R-bee on eater
xs14_08ka952z321 Mango at claw
xs14_35ac0f9 Cis-long ship and table
xs14_4a9j08ozx121 Trans-inflection
xs14_wggm96z652 Trans-boat line beehive
xs14_4s0f96z11 Shift-cap and table
xs14_25is0qm Tub with leg and cis-snake
xs14_4s0fhoz11 Para-hook and table
xs14_0g6p2sgz121 14-snorkel loop with tub
xs14_39c0f96 Para-carrier and cap
xs14_6970sic Cis-rotated R-bee
xs14_xok871z253 Boat on trans-boat with tail
xs14_03lkk8z252 Krake with tub
xs14_wggka52z643 Gull with trans-barge
xs14_8ehjzw1252 Eater on long boat
xs14_0gbaa4z643 Claw line tail
xs14_0g0s2pmz121 14-trans-snorkel loop with tub
xs14_4s0ci96z11 Trans-mango and table
xs14_0c88b5z253 Hook with long leg and trans-boat down
xs14_drz012156 Claw with tail siamese snake
xs14_32132qr Trans-block and trans-table siamese snake
xs14_4a9b8ozx32 14.564
xs14_25a8o653 Tub with tail on ship
xs14_0gbq23z321 Trans-long ship and table
xs14_04s39cz321 Carrier on long hook
xs14_cilmzx252 Tub wrap line boat
xs14_178bq23 Table and two tails
xs14_0mp3zc96 Trans-shillelagh siamese shillelagh
xs14_69ic0f9 Cis-mango and table
xs14_xoka52z253 Boat on long long boat
xs14_0ggm952z56 Ortho-loaf line hook
xs14_g8o652z1ac Boat on long shillelagh
xs14_39m8628c 14.164
xs14_0c88a52z253 Tub with leg and trans-boat down
xs14_wggm96z256 Cis-boat line beehive
xs14_2ege1da Tail wrap line hook
xs14_0gba96z321 Trans-snorkel loop with trans-boat
xs14_35iczx1156 Boat with kinked nine
xs14_gilmz1w252 Tub with long leg and cis-boat down
xs14_4aq453z32 14.108
xs14_032qk8z253 Boat on cis-boat with tail
xs14_25a88cz0253 Tub with long leg and trans-boat up
xs14_wggc871z2521 Long boat on eater
xs14_g84213z178c Trans-eater siamese long canoe
xs14_255q8a52 Tub with tail on beehive
xs14_31230fho Ortho-snake down and long hook
xs14_3146164ko Carrier bit eater
xs14_wggm93z652 Claw line trans-boat
xs14_25b8oge2 Cis-boat with tail siamese eater
xs14_31e861ac Eater-inflection
xs14_69eg8ozw23 Eater on R-bee
xs14_31e8gzwbd Snake bit eater
xs14_0gba96z123 Trans-snorkel loop with cis-boat
xs14_j5s246z11 Amoeba 5,4,4
xs14_35icz69c Boat with long long long nine
xs14_259e0db Snake and R-loaf
xs14_4aarzx1252 Tub with tail siamese hat
xs14_178bp46 Carrier on two tails
xs14_08k8a53z321 Boat with inverted nine
xs14_64lb8ozx11 Hook on R-bee
xs14_ck31246z023 Long snake bridge long snake
xs14_drz012552 Beehive with tail siamese snake
xs14_ggca53z65 Long ship on snake
xs14_cp3z012156 Claw with tail siamese carrier
xs14_wggc871z6221 Eater tie eater
xs14_25iczw178c Tub with long tail siamese trans-eater
xs14_6ikm96z01 Snake siamese beehive with tail
xs14_wg8o653z65 Ship on canoe
xs14_wggka52z652 Trans-boat line trans-barge
xs14_wg8o653z65 Ship on canoe
xs14_wggs252z652 Gull with tub and trans-boat
xs14_31eozx1256 Trans-boat with tail siamese trans-eater
xs14_08u15a4z32 Tub with bend tail siamese carrier
xs14_0o4a53z643 Long boat with long nine
xs14_354cj96 14.88
xs14_0j5s26z121 Tub with leg siamese shillelagh
xs14_cp3z012552 Beehive with tail siamese carrier
xs14_08p78cz321 Eater on hook
xs14_69icga6zx1 14.537
xs14_256o8b52 Cis-boat with tail on boat
xs14_356o8b5 Hook with tail on ship
xs14_2ego8a53 Trans-boat with tail siamese eater
xs14_xoge13z253 Boat on integral
xs14_0gil96z56 Para-loaf line hook
xs14_3pmzw34a4 Tub with tail siamese shillelagh
xs14_0g6p56z321 14.215
xs14_356o8gkc Shillelagh on ship
xs14_65lmzw1023 Cis-carrier and cap
xs14_0ml9a4z121 14.583
xs14_4aab8ozx32 14.563
xs14_3hu0og4c Cis-carrier up and long hook
xs14_3hu0628c Cis-carrier down and long hook
xs14_0ggraa4z32 Trans-eater siamese hat
xs14_65la8ozx11 R-bee on R-bee
xs14_wg8ka52z643 Trans-long barge with nine
xs14_0j9egoz121 Tub with long tail siamese hook
xs14_3hu0oi6 Para-carrier up and long hook
xs14_321fgka4 Snake with coil with tub
xs14_j96z178c Trans-eater siamese long shillelagh
xs14_3542sga6 Claw with inflected tail
xs14_0g4q552z321 Beehive at claw with boat
xs14_0mk453z641 Ortho-carrier down and long hook
xs14_330fh84c Long claw with long leg and trans-block
xs14_31eozx1253 Cis-boat with tail siamese trans-eater
xs14_4a9mkk8zx1 Hat siamese 
xs15_354cgc453 Moose antlers
xs15_j1u06a4z11 Cis-boat and dock
xs15_259e0eic Trans-R-bee and R-loaf
xs15_3lkm96z01 Bee hat
xs15_3lk453z121 Trans-boat and dock
xs15_4a9raic Bent paperclip
xs15_259e0e96 Cis-R-bee and R-loaf
xs15_0gilicz346 Big S with tub
xs15_259e0e93 Cis-hook and R-loaf
xs15_259e0eio Trans-hook and R-loaf
xs15_09v0ccz321 Block and shoe
xs15_o4s3pmz01 R-bee on shillelagh
xs15_25960uh3 Para-loaf and long hook
xs15_6t1egoz11 15.777
xs15_g8o6996z121 R-bee on pond
xs15_3213ob96 Snake and coil
xs15_08o6996z321 Hook on pond
xs15_69aczw6513 Para-hook and R-loaf
xs15_69bojd Shillelagh siamese coil up
xs15_25960uic Para-loaf and cap
xs15_25a8ob96 Tub scorpion
xs15_4a9b8oz033 Hook with very long leg and block
xs15_0ggca96z3421 Trans-loaf on R-loaf
xs15_69ak8zx1256 Loaf at claw with boat
xs15_33gv1oo Z and blocks
xs15_178bqic Two tails siamese coil
xs15_4ap6426z032 Loaf siamese snakes
xs15_0ggmp3z346 Shillelagh siamese long coil
xs15_0g8ka96z3421 Loaf at mango
xs15_65123qic Coil siamese shillelagh
xs15_06t1acz321 15.611
xs15_3hu069a4 Ortho-loaf and long hook
xs15_4a960uic Ortho-loaf and cap
xs15_0mk453z3421 Trans-loaf and long hook
xs15_oggm96z66 Beehive with long leg and trans-block
xs15_0gbb8oz343 Beehive with long leg and cis-block
xs15_ca96zw3552 Shift R-bee and R-loaf
xs15_0j1u066z121 Dock with tub and trans-block
xs15_699m88gzx121 Loaf on pond
xs15_06t1e8z321 Coil siamese long hook
xs15_0c8a52z2553 Tub with leg and trans-R-bee
xs15_25is0sic Tub with leg and cis-R-bee
xs15_4a970si6 Ortho-hook and R-loaf
xs15_0g8ehrz321 Boat with long tail siamese house
xs15_0ggca96z1243 Para-loaf on R-loaf
xs15_0g0si53z343 Beehive on boat with leg
xs15_g88m596z121 Loaf kiss loaf
xs15_69aczx3156 Meta-hook and R-loaf
xs15_ca96zw3156 Shift-hook and R-loaf
xs15_kc0si96z11 R-mango and snake
xs15_0cid96z321 15.532
xs15_xoka52z653 Ship on long long boat
xs15_25is0si6 Tub with leg and cis-hook
xs15_259mge13 Loaf bend nine
xs15_0mk453z1243 Cis-loaf and long hook
xs15_695q88gzx121 Loaf on bit-loaf
xs15_0j1u0ooz121 Dock with tub and cis-block
xs15_25a8czx6513 Tub with leg and para-hook
xs15_69aczx3552 Meta-R-bee and R-loaf
xs15_4aara96 Hat siamese loop
xs15_0gbaa4z3452 Cis-loaf line tail
xs15_c88b52z352 Cis-boat with leg and trans-boat up
xs15_wggm952z643 Gull with trans-loaf
xs15_69aczw2553 Para R-bee and R-loaf
xs15_0c8a52z6513 Tub with leg and trans-hook
xs15_4a970sic Ortho R-bee and R-loaf
xs15_0gbap3z321 Boat with leg and snake
xs15_xok871z653 Ship on trans-boat with tail
xs15_65la4ozw121 R-bee at mango
xs15_3loz12ego Long snake bit eater
xs15_25ac0fho Cis-long boat down and long hook
xs15_j5q8a6z11 15.141
xs15_178c0f96 Para-eater and cap
xs15_08u1daz321 Trans-loop siamese hook
xs15_3pm0eic Shillelagh and R-bee
xs16_g88m996z1221 Bi-pond
xs16_j1u0696z11 Beehive and dock
xs16_69egmiczx1 Scorpion
xs16_69bob96 Symmetric scorpion
xs16_259e0e952 Cis-mirrored R-loaf
xs16_0ca952z2553 Trans-R-bee and R-mango
xs16_3hu0uh3 Cis-mirrored long hook
xs16_3lk453z321 Trans-ship and dock
xs16_0ggca96z3443 Pond on R-loaf
xs16_69960uic Pond and cap
xs16_259aczx6513 Para-hook and R-mango
xs16_39e0ehr Hook and house
xs16_69is0si6 Cis-hook and R-mango
xs16_j1u0uiz11 Table and dock
xs16_j1u06acz11 Cis-ship and dock
xs16_697079ic Cis-R-bee and R-mango
xs16_0ggs2qrz32 Block and two tails siamese eater
xs16_m2s079cz11 Para-hook and house
xs16_c4o0e96z321 Ortho-R-bee and house
xs16_0g8o69a4z3421 Cis-loaf on R-mango
xs16_69e0ehr R-bee and house
xs16_69f0f96 Bi-cap
xs16_08o0ehrz321 Ortho-hook and house
xs16_69is079c Para-hook and R-mango
xs16_0ca952z6513 Trans-hook and R-mango
xs16_4aab96z033 Trans-block and racetrack
xs16_0mp2sgz643 Cis-11-loop siamese hook
xs16_3hu06996 Cis-pond and dock
xs16_0c8a53z2553 Trans-R-bee and trans-boat with leg
xs16_4aab96zx33 Cis-block and racetrack
xs16_2ege96z321 16.706
xs16_0g8o653zbc1 Ship on boat with long tail
xs16_39s0ca4z321 Trans-boat down and hook siamese carrier
xs16_356o8br Block and table on ship
xs16_0gjlicz346 Big S with boat
xs16_69ngbr R-bee with long tail and block
xs16_259e0eik8 Trans-mirrored R-loaf
xs16_c4gf96z321 Broken house on cap
xs16_39egmiczx1 Hook scorpion
xs16_gbbo8a6z11 Trans-eater siamese hook and block
xs16_08o6hrz643 Broken house on trans-long hook
xs16_69b88czw652 Cis-boat and worm
xs16_g88q596z1221 Loaf on teardrop
xs16_031e8gz8k871 Antlers with tub
xs16_j1u06ioz11 Para-carrier and dock
xs16_0g8ka952z3421 Trans-mango at mango
xs16_0mk453z3443 Trans-pond and long hook
xs16_c4o79cz321 Hook on house
xs16_0jhu0ooz32 Cis-block and para-eater siamese long hook
xs16_09v0ca4z321 Trans-boat and shoe
xs16_3iaj2acz011 Trans-boat and cis-eater siamese table
xs16_35is0sic Boat with leg and cis-R-bee
xs16_259aria4 16-bent paperclip
xs16_0259acz6513 Shift-hook and R-mango
xs16_wg0si96z2543 Trans-loaf on R-mango
xs16_gbap56z121 R-loaf on shillelagh
xs16_69ligozw66 Para-loaf with long leg and cis-block
xs16_69baiczx32 Hook with tail fuse paperclip
xs16_xoka53z653 Ship on long long ship
xs16_c9b871z33 Trans-block and alef
xs16_3hu0uic Long hook and cap
xs16_31egu156 Long coil with nine
xs16_w8k8a53z6521 Inverted double boat-claw
xs16_h7ob96z11 Long side siamese G
xs16_0gjlkcz346 Eater with coil
xs16_8o6p96z1221 Loop siamese pond
xs16_0j1u066z321 Dock with trans-boat and trans-block
xs16_69ara96 Cis-loop siamese loop
xs16_0c8a53z6513 Boat with leg and trans-hook
xs16_0j1u0ooz321 Dock with trans-boat and cis-block
xs16_raarzx123 Para-eater siamese table and table
xs16_0c8a52z6953 Tub with leg and trans-R-loaf
xs16_35is0si6 Boat with leg and cis-hook
xs16_oggm952z66 Ortho-loaf with long leg and trans-block
xs16_1no3qic Coil and side
xs16_xca952z6513 Meta-hook and R-mango
xs16_mkhf0ccz1 Cis-block and alef
xs16_0259acz2553 Shift-R-bee and R-mango
xs16_259mggozx66 Para-loaf with long leg and cis-block
xs16_35a8ob96 Trans-boat scorpion
xs16_xca952z2553 Meta-R-bee and R-mango
xs16_0j9m4koz121 House with barge siamese claw
xs16_69p64k8zw121 Cis-fuse with two tails siamese pond
xs16_gs2ib8ozx32 Legs and two tails
xs16_g88e13z178c Eater siamese gull
xs16_02llicz643 Gull bend beehive
xs16_25is0sia4 Tub with leg and cis-R-loaf
xs16_039m4koz311 Fuse with tail and house siamese claw
xs16_0c93z651156 Cis-carrier and dock
xs16_4a970sia4 Trans-rotated R-loaf
xs16_253gv1oo Z and block and cis-boat
xs16_6a88b52z033 Dock with cis-boat and trans-block
xs16_69b88czw256 Trans-boat and worm
xs16_358e1dio Inflected snorkel loop
xs16_6970si96 Ortho-R-bee and R-mango
xs16_697o4iczx11 R-bee on R-mango
xs16_mmge1e8z1 Block and tail on line tail
xs16_6a88brzx32 Very long eater siamese carrier and block
xs16_35a8czx6513 Boat with leg and para-hook
xs16_0c88a53z2552 Trans-boat with long leg and trans-beehive
xs16_0gilicz34a4 Big S with tubs
xs16_69aczx3596 Trans-rotated R-loaf
xs16_354kmzx1256 Trans-long ship down and long hook
xs16_69aczw6953 Offset mirrored R-loaf
xs16_8e1t6zx1252 Coil siamese tub with long leg
xs16_62s0f9z321 Shift-table and dock
xs16_6ags2qr Block and tail on inflected tail
xs16_35s2acz321 Long integral siamese long hook
xs16_m2s0796z11 Para-R-bee and house
xs17_2ege1ege2 Twin hat
xs17_2ege1t6zx11 Hat fuse paperclip
xs17_3lk453z1243 Ortho-loaf and dock
xs17_3lk453z3421 Para-loaf and dock
xs17_ca96z065156 Para-R-loaf and house
xs17_5b8b96z033 Trans-block and hooked worm
xs17_0696z311d96 Beehive and worm
xs17_g6p3qicz11 Long integral siamese coil
xs17_0ca952z6953 Trans-R-loaf and R-mango
xs17_4a97079ic Cis-R-loaf and R-mango
xs17_6a88brz033 Very long eater and blocks
xs17_4aab871z033 Trans-block and anvil
xs17_4aarahr Hat siamese cis-snakes
xs17_j1u06ak8z11 Cis-long boat and dock
xs17_69mggkczw66 Dock with beehive and cis-block
xs17_259e0ehr R-loaf and house
xs17_03lk453z643 Trans-eater and dock
xs17_0mlhe8z3421 Loaf scorpion
xs17_4aarhar Hat siamese trans-snakes
xs17_09v0cicz321 Beehive and shoe
xs17_03lk453z2521 Trans-long boat and dock
xs17_69aczw65156 Shift-R-loaf and house
xs17_ckggka52z066 Dock with trans-barge and trans-block
xs17_mm0e96z56 Block and snake and R-bee
xs17_255m88czw343 Beehive with tail on R-bee
xs17_69baiczw65 Paperclip fuse long snake
xs17_0g8o6996z3421 Trans-pond on R-mango
xs17_69ab96z033 Trans-block and buckle
xs17_69bo8br Trans-block and table siamese coil
xs17_2ege952z321 R-loaf on long side
xs17_069a4ozc8711 Gull with loaf
xs17_69baa4z253 Racetrack and para-boat
xs17_3lkiacz1221 R-bee on long integral
xs17_5b8b96zx33 Cis-block and hooked worm
xs17_3lka96z321 17.1244
xs17_31e88gzc8711 Long antlers
xs18_rhe0ehr Dead spark coil
xs18_69is0si96 Cis-mirrored R-mango
xs18_2egm9a4zx346 Loaf eater tail
xs18_c4o0ehrz321 Rotated house
xs18_j1u0uh3z11 Long hook and dock
xs18_0mmge96z1221 R-bee on R-bee and block
xs18_3lk453z3443 Pond on dock
xs18_8ehlmzw12452 Mango scorpion
xs18_69b88a6zw652 Cis-boat and long worm
xs18_g88bbgz011dd Very long beehive and cis-blocks
xs18_69b88cz2553 Cis-R-bee up and worm
xs18_0c88b96z2553 Trans-R-bee down and worm
xs18_354m453zw343 Very long house and beehive
xs18_gs2ib96z1221 18.13955
xs18_j1u0uicz11 Cap and dock
xs18_ckggm952z066 Dock with ortho-loaf and trans-block
xs18_0mllicz346 Big S with R-bee
xs18_0mmge93z1221 Hook on R-bee and block
xs18_gbbob96z11 Coil siamese hook and block
xs18_gbbgn96z11 R-bee with long nine and block
xs18_o8gehrz643 House on house
xs18_c88b96z3552 Trans-R-bee up and worm
xs18_02596z69d113 Cis-loaf and worm
xs18_69n8brzx11 R-bee at r-bee and block
xs18_330fhu0oo Folded legs and trans-blocks
xs18_69bo3qic Rotated coil
xs18_259aczw359a4 Trans-mirrored R-mango
xs18_c89n871z311 Hat at hat
xs18_69baa4ozx311 Racetrack bend tail
xs18_0c88b96z6513 Trans-hook down and worm
xs18_c88b96z3156 Trans-hook up and worm
xs18_gillmz1w643 Cis-R-bee down and worm
xs18_69b88cz6513 Cis-hook up and worm
xs18_m2s0si96z11 R-mango and house
xs18_g88bbgz0dd11 Very long beehive and trans-blocks
xs18_69baa4z653 Racetrack and para-ship
xs18_m2s079icz11 Para-R-mango and house
xs18_4alhe0e96 R-bee and honeycombinatorian
xs18_69egdbgzx121 R-bee on loaf siamese snake
xs18_ckgil96z066 Dock with para-loaf and trans-block
xs18_mm0e96z1226 Trans-R-bee and block and eater
xs18_259aczx65156 Ortho-R-mango and house
xs18_259aczw4a953 Offset mirrored R-mango
xs18_gjlkmz1w643 Cis-hook down and worm
xs18_69ir2qr 18.283
xs18_69baa4z2552 Racetrack and cis-beehive
xs18_4a9baaczx33 R-racetrack II and block
xs18_gbaqb96z11 Hook siamese head
xs19_69icw8ozxdd11 Dock with mango and cis-block
xs19_69bo7pic 19.31603
xs19_69b88gz69d11 Aries
xs19_gbb8brz123 Worm and blocks
xs19_mlhe0eicz1 Cis-R-bee and G
xs19_0c88b96z6953 Trans-R-loaf down and long worm
xs19_2egu1uge2 19.43269
xs19_39u0eicz321 Cis-R-bee and very long house
xs19_3hikl3z32w23 Cis-down-long shillelagh and dock
xs19_69b8brz033 Very long coil and blocks
xs19_0mmge96z3421 R-bee on R-loaf and block
xs19_3lkmicz346 Big S siamese hook
xs19_69b88a6zw696 Beehive and long worm
xs19_0mlhegoz1243 Bit-loaf scorpion
xs19_mlhe0e96z1 Trans-R-bee and G
xs19_39u0u93zw121 Hat siamese bookends
xs19_69acz69d113 Trans-R-loaf up and worm
xs19_69mgmiczw66 Worm with beehive and trans-block
xs19_4aar0rbzx121 Eater 2
xs20_3lkkl3z32w23 Mirrored dock
xs20_6a88b96z2553 Trans-R-bee down and long worm
xs20_259aczw311d96 Trans-R-mango down and worm
xs20_4a9n8brzx121 R-loaf on R-loaf and block
xs20_697ob96z0321 20.75400
xs20_gbbo79cz1221 Block and hook on teardrop
xs20_651u0oozw178c Block and worm siamese eater
xs20_354mggzx1023cko Ship on trans-rotated hook
xs20_39u0mmz321011 Very long house and blocks
xs20_69b88a6z2553 Trans-R-bee up and long worm
xs20_0mlhegoz3443 20.82581
xs20_0cc0si96z2553 Block and R-bee on R-mango
xs20_g6p3sj96z11 20.29851
xs20_69egmicz0643 20.83112
xs20_g8861688gz01168611 Small lake
xs21_69b8b96zw696 Beehive and very long worm
xs21_699e0okczw653 Teardrop and ship-tie
xs21_4a9m88gzcia521 Triloaf 1
xs21_gbb8b96z11w33 21.177626
xs21_39u0ehrz321 House and very long house
xs21_6a88bbgzw255d 21.208288
xs21_04s0ci53zc97011 Para-boat with long tail and shoe
xs21_oe1v0rrz011 R-racetrack and blocks
xs22_69b88cz69d113 Cis-mirrored worm
xs22_08o0u93zoif032 Trans-rotated shoe
xs22_2llmz1qaar Cis-R-bee and long R-bee and table
xs22_69b8b96z2553 Cis-R-bee and very long worm
xs22_09v0v9z3210123 Cis-mirrored shoe
xs22_wg8kie0e96z2543 Trans-R-bee and bi-loaf 1
xs22_ca9bob96z33 Block and inflected Z siamese coil
xs23_259e0ehu0ui Cis-R-loaf and long R-bee and table
xs23_69b8b96z033033 Very long worm and blocks
xs23_69acz69d1d96 Cis-R-loaf and very long worm
xs23_0ca96z69d1d96 Trans-R-loaf and very long worm
xs23_gbb8b96z123033 Long big S and blocks
xs24_09v0v9z6430346 Cis-mirrored long shoe
xs24_39u0u93z3210123 Mirrored very long house
xs24_c89n8brz33032 Swastika
xs24_4aab96z255d96 Cis-mirrored racetrack
xs25_8e1v0rrz3543 Elf-shoe and trans-blocks
xs26_69b88a6z69d1156 Cis-mirrored long worm
xs26_69p6o8gzcijc321 Mickey Mouse
xs27_651u0u156zw17871 Hat siamese worms
xs28_0g8ka9m88gz122dia521 Tetraloaf 1
xs29_cc0s2ticz330fgkc Cis-blocks and long honeyworm
xs29_69e0u1u0e96zx23032 Very very long hat and trans-R-bees
xs29_6a88bb88gz6511dd11 Very very very long krake and blocks
xs29_03lk6o8zckgf0fio Hook on shoe and worm
xs30_69b8b96z69d1d96 Mirrored very long worm
xs30_caabaacz355d553 Mirrored very very long bee siamese eaters
xs31_69b88bbgz69d11dd Aries betwixt two blocks
xs31_0ca178b96z69d1d96 Cis-inflected G and very long worm
xs31_69b8b96z25t1t52zx1 Ionic capital
xs31_178baa4z0mkkl3z32w23 Cis-anvil and up-long hook and dock
xs31_wgw2596zkngf0311d96z1 Trans-anvil and trans-loaf and worm up
xs32_039u0u93z6a87078a6 Cis-mirrored worm siamese hook
xs32_4a9b8b96z259d1d96 Cis-mirrored inflected very long worm
xs32_697079acz69e0e953 Quartered shield
xs32_caab8b96z355d553 Elf shoe and very very long bee siamese eaters
xs32_3pmgmiczg6q2qicz11 Chandelier
xs32_2llmzhaaarz8lld Cis-mirrored long R-bees and cis-R-bees
xs32_354mkkmzwra26074zx113 Trans-shoe down and R-down anvil and cis-eater
xs33_69b8bb88gz69d1dd11 Long Aries betwixt two blocks
xs38_69ab8ba96z695d1d596 Symmetrical synapse
xs40_gj1u0u1jgzdlgf0fgld Omnibus
xs40_69b88c88b96z69d11311d96 Cis-mirrored worm siamese worm
xs40_39m44o0o44m93zw6b87078b6 Moth
xs41_69b8b96xgz69f0fhe0e943 Very long worm and cap and long R-bee and cis-R-mango
xs42_25a88bb8b96z4a511dd1d96 Tub omnibus
yl144_1_16_afb5f3db909e60548f086e22ee3353ac Block-laying switch engine
yl384_1_59_7aeb1999980c43b4945fb7fcdb023326 Glider-producing switch engine

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

Re: Searching every NxN pattern for oscs/patterns?

Post by drc » May 14th, 2016, 7:42 pm

@gameoflifeboy Nice! Does it eliminate dupes or smaller squares?

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gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

Re: Searching every NxN pattern for oscs/patterns?

Post by gameoflifeboy » May 14th, 2016, 7:57 pm

No, it doesn't. I actually think that my way is more natural because it searches exactly a power of 2 number of soups. There is also the fact that the number given to each soup is the binary encoding of the cells states in the soup.

There may be bugs, especially in the script that creates a full census from progress files because I didn't test it as much as the other script.

Since the soups are searched in binary order starting on the top row, setting the edge length to 100 would effectively be the same as searching one-cell think patterns.

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

Re: Searching every NxN pattern for oscs/patterns?

Post by drc » May 14th, 2016, 9:30 pm

This is a cool script still:

Code: Select all

x = 307, y = 3, rule = B3/S23
o2b3o94b6o194b3ob3o$2b2o2bo93bo2b2obo195bo2b2o$4o97bob2o196b3obo!

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gameoflifeboy
Posts: 474
Joined: January 15th, 2015, 2:08 am

Re: Searching every NxN pattern for oscs/patterns?

Post by gameoflifeboy » May 15th, 2016, 4:23 pm

I made a script to create a soup from just its number and edge length so that, for example, you can retrieve a soups from a previous progress file where soups are designated by their numbers.

num-to-soup.py:

Code: Select all

# num-to-soup.py
# --------------
# This script produces the nth x-by-x soup for given n and x.

import golly as g

edge = int(g.getstring("Enter the edge length of the soup:"))
soupnum = int(g.getstring("Enter the soup number:"))

if edge < 0:
	g.exit("Edge number out of range. Try again.")

if soupnum < 0 or soupnum >= 2 ** (edge ** 2):
	g.exit("Soup number out of range for edge length. Try again.")

g.new('')

soupcells = []

x = y = 0
while soupnum > 0:
	if soupnum % 2 == 1:
		soupcells.extend([x, y])
	x += 1
	if x == edge:
		x = 0
		y += 1
	soupnum /= 2

g.putcells(soupcells)

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gameoflifeboy
Posts: 474
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Re: Searching every NxN pattern for oscs/patterns?

Post by gameoflifeboy » May 15th, 2016, 10:40 pm

I hope nobody was running this script in other rules because I never implemented canonization of entered rules. Before this, if someone entered HighLife as "23/36", the seed file would be called 5x5-2336-seed.txt, and be separate from the canonical form 5x5-B36S23-seed.txt.

Now in the latest update, whenever a Life-like rule is entered, it automatically gets changed to "B...S..." form, with capital B and S.

I also decided to have 400 soups searched per page instead of 100. Judging by the searches that take a similarly quick time to run soups, I believe this should lead to an increase in searching speed.

I also updated the script to not list a sample soup if a transformation (rotation or reflection about the center) of the soup is already listed.

Anyway, here is the updated version.
Attachments
XxXsearch_v1.1.zip
(150.74 KiB) Downloaded 261 times

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

Re: Searching every NxN pattern for oscs/patterns?

Post by drc » May 21st, 2016, 9:50 pm

Related question: Is there a search program that searches X-cell spatially connected patterns, i.e.:

Code: Select all

x = 22, y = 5, rule = LifeHistory
A6.F.2A4.F4.A$A.A.A2.F.A.A3.F3.A.A$4.A2.F7.F4.A$4.2A.F3.A.A.F.3A$7.F
4.2A.F!

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

Re: Searching every NxN pattern for oscs/patterns?

Post by drc » May 26th, 2016, 9:16 pm

Bump, as I want people to see this.

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