Self-avoiding polygons of perimeters <= 12
with turning angles from regular heptagon
Code list of turning angles in degrees:
approx. -25.7(a), +25.7(A), -77.1(b), +77.1(B), -128.6(c),+128.6(C)
Turning angle code, diameter of enclosing circle (symmetry)
Perimeter = 6:
aCBaC, 2.5483247845 (rot2)
AACAA, 2.8019377358 (mirror,rot2)
ABBAB, 2.1913324111 (mirror,rot2)
Perimeter = 8:
aCAAACa, 3.5135187893 (mirror)
aCaBABA, 3.0489173395 (mirror)
aCbCAAB, 2.8284271247
aBCbCbC, 2.8176233026 (mirror)
Perimeter = 10 (83 polygons, 49 symmetric):
aCBABABCa, 2.4939592074 (mirror)
aCBAaaCBA, 4.1408636803 (rot2)
aCBAbACAB, 4.0489173395
aCBAcBCaC, 3.4136187267
aCBaBBaCB, 2.8284271247
aCBaBAACA, 3.4136187267
aCBaBaBCa, 3.6530554722 (mirror)
aCBaACaBC, 3.4265053351
aCBaABABB, 3.4775305740
aCBaAABBA, 4.1408636803
aCBaAaCBa, 4.4262618412 (rot2)
aCBaaCAAC, 3.5146243043
aCBaaBBAB, 4.0489173395
aCBaaACAA, 4.4939592074
aCBabCBaC, 3.4136187267
aCBabBCaB, 3.9736451969
aCBbBaCBb, 4.1082845752 (rot2)
aCBbAACAa, 4.3403655941
aCBcCaCBc, 3.3239911762 (rot2)
aCBcCaBCb, 3.4301881705
aCBcBACAb, 3.6530554722
aCBcBABBa, 3.6530554722
aCBcABBAA, 3.4136187267
aCACbaCAC, 3.2087220109 (rot2)
aCABaaCAB, 4.0489173395 (rot2)
aCAACcACA, 3.8019377358
aCAAABAAC, 3.5146243043
aCAAAABAB, 4.0489173395
aCAAAaCAA, 4.4939592074 (rot2)
aCAaBaCAa, 4.3403655941 (rot2)
aCAbCaCAb, 3.6530554722 (rot2)
aCAbCaBBa, 3.6530554722
aCaCaaCaC, 3.4136187267 (mirror,rot2)
aCaBCcABB, 3.1727371740
aCaBAABaC, 3.4136187267 (mirror)
aCaBAaCaB, 3.9736451969 (rot2)
aCaBaCbCa, 3.6038754716 (mirror)
AcACAABAA, 3.1099162642 (mirror)
aCbCAaCbC, 3.5221886956 (rot2)
aCbCbCaBA, 3.1273259299 (mirror)
aCbBBABcC, 3.0608237919
aCbBBaCbB, 3.1665670805 (rot2)
aCbACAAbC, 3.6530554722
AcBBABAAA, 3.5135187893
aCcCBaCcC, 2.9332363477 (rot2)
AcCACAcCA, 3.2731928962 (rot2)
AcCBBAcCB, 3.0036261858 (rot2)
aBCbBaBCb, 3.7990736085 (rot2)
aBCbAABBa, 3.6530554722
aBCbaBBAA, 3.4136187267
aBCbbCBaB, 2.8284271247 (mirror)
aBBCbaBBC, 3.4136187267 (rot2)
aBBBaaBBB, 4.0489173395 (mirror,rot2)
aBBABbACA, 4.1408636803
aBBAAAABB, 4.0489173395 (mirror)
aBBAAaBBA, 4.1408636803 (rot2)
aBBaBaBBa, 3.6530554722 (mirror,rot2)
aBABBbABB, 3.7547083348
aBABBcBBA, 3.1273259299 (mirror)
aBABAaBAB, 3.7547083348 (rot2)
aBABAbCAA, 3.4136187267
aBAABaBAA, 3.4136187267 (mirror,rot2)
AbABBAAAA, 4.0489173395
AbBACAbBA, 4.1408636803 (rot2)
AbBBBAbBB, 3.7547083348 (rot2)
AbBCAAbBC, 4.3403655941 (rot2)
AbCAACbAB, 3.2594297386 (mirror)
AbCABAbCA, 3.4136187267 (rot2)
AbCABBcBB, 3.1273259299
AbCBAAbCB, 3.6530554722 (rot2)
AbCBABcBC, 3.6530554722
aACAAaACA, 4.7228789549 (rot2)
aABBAaABB, 4.0258851130 (mirror,rot2)
AAAABAAAA, 4.0489173395 (mirror,rot2)
AAACbCbCb, 3.5135187893 (mirror)
AABbCAABb, 3.7547083348 (rot2)
AACcBBABb, 3.1930325046
AACcCAACc, 2.9332363477 (mirror,rot2)
ABcBCABcB, 3.6530554722 (rot2)
ABcCBABcC, 3.0589043574 (rot2)
ABbBBABbB, 3.6734124744 (rot2)
ABBcCABBc, 2.8284271247 (rot2)
bCBbCbCBb, 3.3740247396 (symmetric)
Perimeter = 12 (533 polygons, 37 symmetric):
aCBABaCbCBa,
aCBABcCABBA,
aCBABcBBBAB,
aCBAABaCaCa,
aCBAAAACaCb,
aCBAAbCABAB,
aCBAAbCaCAA,
aCBAaCaBACa,
aCBAaBABBBc,
aCBAaBABACb,
aCBAaABBACc,
aCBAaaCABaC,
aCBAaaCaCaB,
aCBAaaBCbCa,
aCBAbCAACBc,
aCBAbCAABCb,
aCBAbBBABCc,
aCBAbACaCbC,
aCBAbABBaCa,
aCBAbAACaBA,
aCBAcBBAACa,
aCBAcBABABA,
aCBAcBaCAAB,
aCBaBAAACaB,
aCBaBaBABAB,
aCBaBaBaCAA,
aCBaBbCAABB,
aCBaBbCaBBA,
aCBaBbCbCBa,
aCBaACbCbCB,
aCBaABAACbC,
aCBaABaCbCA,
aCBaAABABaC,
aCBaAABaCaB,
aCBaAAACbCa,
aCBaAaCAAAC,
aCBaAaCaBAB,
aCBaAaCbCAA,
aCBaAaBCbCb,
aCBaaCaBaCA,
aCBaaCbCaBB,
aCBaaBBaCbC,
aCBaaBABaCa,
aCBaaBaCaBA,
aCBaaACaBaC,
aCBaaACbCaB,
aCBaaABBaCb,
aCBaaAACaBa,
aCBabCAAACa,
aCBabCaBABA,
aCBabCbCAAB,
aCBabBCbCbC,
aCBabBBAACb,
aCBabBABABa,
aCBabBaCAAA,
aCBacCBaBCb,
aCBacCAABBa,
aCBacCaBBAA,
aCBacCbCBaB,
aCBbCbCAaCB,
aCBbCbCaACA,
aCBbCbCbBCa, 3.6843691470 (mirror)
aCBbBBAcCBB,
aCBbBABcCBA,
aCBbBaCAaBC,
aCBbBaCaABB,
aCBbBaCbBBA,
aCBbBaCcCBa,
aCBbBaBCbCc,
aCBbACAcCAC,
aCBbABBcCAB,
aCBbAACaAAC,
aCBbAACbBAB,
aCBbAACcCAA,
aCBbAABBaCc,
aCBbAAACaBb,
aCBbaCBcCaC,
aCBbaBCbBaC,
aCBbaBCcCaB,
aCBbaBBAACc,
aCBbaBABABb,
aCBbaBaCAAa,
aCBbbCBaBCc,
aCBbbCAABBb,
aCBbbCaBBAa,
aCBbbCbCBaA,
AcbBCAACcCA,
aCBcCBabCBB,
aCBcCABcBCA,
aCBcCAAbCBA,
aCBcCaCbACA,
aCBcCaCcBCa, 3.8997116487 (mirror)
aCBcCaBBaBC,
aCBcCaBAABB,
aCBcCaBaBBA,
aCBcCaBbCBa,
aCBcCbCbCBb,
aCBcBCAcBBC,
aCBcBCabCAC, 3.2735312944 (mirror)
aCBcBBBcBBB,
aCBcBBAbCAB,
aCBcBACaaBC,
aCBcBACbABB,
aCBcBACcBBA,
aCBcBABAAAC,
aCBcBABaBAB,
aCBcBABbCAA,
aCBcBAACaBc,
aCBcBAACbCb,
aCBcBaCbCAa,
aCBcACBcBAC,
aCBcACAbCaC,
aCBcABCbAAC,
aCBcABCcBAB,
aCBcABBaBaC,
aCBcABBbCaB,
aCBcABABABc,
aCBcABABaCb,
aCBcABaCAAb,
aCBcABaCaBa,
aCBcAACbCaA,
AcbCaCAAABA,
aCBcaCAABBc,
aCBcaCAAACb,
aCBcaCaBBAb,
aCBcaCaBABa,
aCBcaCbCBaa,
aCBcaCbCAAA,
aCBcaBCbCbB,
AcbCABABaBA,
AcbCBAACbBA,
AcbCBABBcCA,
AcbCBBaCbBB,
aCACbBAACBb,
aCACbABACBc,
aCACbABABCb,
aCACbAcBCAB,
aCACbaBBaCA,
aCACbaACaBB,
aCACbabCBAB,
aCACbabBCAA,
aCACcAACaAC,
aCABAbACaCa,
aCABaBAACBc,
aCABaBAABCb,
aCABaABABCc,
aCABaaCaCbC,
aCABaaBBaCa,
aCABaaACaBA,
aCABbACAcCB,
aCABbAACBba,
aCABbAACaAB,
aCABcBACBcA,
aCABcBACaaC, 4.3812862675 (mirror)
aCABcBABCba,
aCABcBABAAB,
aCAACbaBCbC,
aCAACcABBaC,
aCAACcAACaB,
aCAABBcBACA,
aCAABAbCaCA,
aCAABaaCaCa,
aCAABbACABc,
aCAABbACaCb,
aCAAACbAACA,
aCAAACcCaBC,
aCAAACcBABB,
aCAAACcABBA,
aCAAABaBaCA,
aCAAABbCaBB,
aCAAAABaCbC,
aCAAAAABBAc,
aCAAAAABaCa,
aCAAAAaCaBA,
aCAAAaCaBaC,
aCAAAaCbCaB,
aCAAAaBBABc,
aCAAAaBBaCb,
aCAAAaACAAb,
aCAAAaACaBa,
aCAAAbCBaCc,
aCAAaCbCaAC,
aCAAaBBAcCB,
aCAAaBaCaAB,
aCAAaACAcCA,
aCAAaAACAaa,
aCAAaAACaAA, 5.4633746137 (mirror)
aCAAbCBabCB,
aCAAbCaCaaC,
aCAAbCaBCba,
aCAAbCaBAAB,
aCAAbBCAcBB,
aCAAbBACAbA,
aCAAbBABBaa,
aCAAbBABAAA,
aCAAbABBAAa,
aCAAcCACAcB,
aCAAcCAABAA,
aCAAcBBABAa,
aCAAcACABAb,
aCAAcACAABa,
aCAaCbACaCc,
aCAaBBAcCAC,
aCAaBABcCAB,
aCAaBaCaAAC,
aCAaBaCbBAB,
aCAaBaCcCAA,
aCAaBaBBaCc,
aCAaBaACaBb, 5.0771817542 (mirror)
aCAaAACAcCa,
aCAaaBABAAa,
aCAabCAABAa,
aCAbCBAcBBC,
aCAbCBabCAC,
aCAbCABcBBB,
aCAbCAAbCAB,
aCAbCaCaaBC,
aCAbCaCbABB,
aCAbCaCcBBA,
aCAbCaBAAAC,
aCAbCaBaBAB,
aCAbCaBbCAA,
aCAbCaACbCb,
aCAbCbCBacC,
aCAbCbCbCAa,
aCAbBACAcCb,
aCAbBABBcCa,
aCAbBAACbBa,
aCAbABBBcBA,
aCAbABBAbCa,
aCAbABACbAA,
aCAbABABAAb,
aCAbABABaBa,
aCAcCAACcCa,
aCAcBBACcBA,
aCAcBBABbCa,
aCAcACACcAB,
aCAcACAAaCa,
aCaCaBcACAB,
aCaCaaABABA, 4.2727822648 (mirror)
aCaCbAACBcA,
aCaCbAABCba,
aCaCbAABAAB,
aCaCcBABCcA,
aCaCcBABAaC,
aCaBCbbCbCB,
aCaBCcAACbC,
aCaBCcaCbCA,
aCaBBBcBACB,
aCaBBAbBACA,
aCaBBbABBBc,
aCaBBbABACb,
aCaBBcBBACc,
aCaBACbAACB,
aCaBACcBABC,
aCaBABaAACA,
aCaBABbCaBC,
aCaBABbBABB,
aCaBABbABBA,
aCaBABcCAAC,
aCaBABcBBAB,
aCaBABcACAA,
aCaBAAAACAc,
aCaBAAaBABA,
aCaBAAbCAAB,
aCaBAaCbCbC,
aCaBAaBABBc,
aCaBAaBAACb,
aCaBAaABBAb,
aCaBAaABABa,
aCaBAbCAACc,
aCaBAbBBABb,
aCaBAbACAAa,
aCaBAcCBaCb,
aCaBaCbBAAC,
aCaBaCbABAB,
aCaBaBBabCB,
aCaBaBaCaaC, 4.3812862675 (mirror)
aCaBaBaBCba,
aCaBaBaBAAB,
aCaBaACAcBB,
aCaBaAABBaa,
aCaBaAABAAA,
aCaBbCaBAaC,
aCaBbBABAaB,
aCaBcCABAbC,
aCaBcCAABaB,
aCaABaCcCaB, 3.9975470992 (mirror)
AcABBaCbBAA,
AcACbCaBAAA,
AcACAaCbCaA, 3.5613660042 (mirror)
aCbCBaaBACA,
aCbCBbAACBc,
aCbCBbAABCb,
aCbCBcBABCc,
aCbCACcABBC,
aCbCABbABBB,
aCbCABcBBAC,
aCbCAAAAACA,
aCbCAAaBABB,
aCbCAAaABBA,
aCbCAAbCAAC,
aCbCAAbBBAB,
aCbCAAbACAA,
aCbCAaBaBCb,
aCbCAaAACAb,
aCbCAaAABBa,
aCbCAaaBBAA,
aCbCAabCBaB,
aCbCAbCaBCc,
aCbCAbBABBb,
aCbCAbABBAa,
aCbCAcCABBc,
aCbCAcCAACb,
aCbCAcBBBAb,
aCbCAcBBABa,
aCbCaCbABAC,
aCbCaBBcACA,
aCbCaBaBAAC,
aCbCaBaABAB,
aCbCaAAABAA, 4.5635521509 (mirror)
aCbCbCBcABB,
aCbCbCbCbCa, 3.6038754716 (mirror)
aCbCbBCbaBB,
aCbCbBABBcB,
aCbCbBABAbC,
aCbCbBAACbA,
aCbCbBAABaB,
aCbCbABBAbB,
aCbCbABABaA,
aCbCcCAACcB,
aCbCcCAABbC,
aCbCcBBABbB,
aCbCcACAAaB,
aCbBCbAABCc,
aCbBBAbACAa,
aCbBBaCcCbC,
aCbBBaBaBCc,
aCbBBaAABBb,
aCbBBaaBBAa,
aCbBBabCBaA,
aCbBAAAABAa,
aCbBaBCbaBA,
aCbBaBABAbB,
aCbBaBAABaA,
aCbBbCAABbB,
aCbACAaaBCb,
aCbACAbACAb, 3.8381570484 (mirror)
aCbACAbABBa,
aCbACAcBBAA,
aCbACbCbCbB,
aCbABBaCbbC,
aCbABBaaBBa,
aCbABABBcAB,
aCbABAACbaB,
aCbABAAABAb, 3.8381570484 (mirror)
aCbABAAAABa,
aCbAACAbABA,
aCbAABBAbAB,
aCbAABBaaBA,
aCbAABABaaB,
aCbAABAAAAA,
aCbaBBABbAB,
aCbaBBAAaBA,
aCbaACAAaAB,
AcBABABaAAB,
aCbbCBABcBB,
aCbbCBAAbCA,
aCbbCBaBaBA,
aCbbBCAAbBB,
AcBBAABaBaB,
AcBBAABAAbC,
AcBBAABABcB,
AcBBAACbAAB,
AcBBACbAACb,
AcBBBAAAABC,
AcBBCcABBaA,
AcBBCcACAbB,
AcBBCbaBBaB,
AcBBCbaBCbA,
AcBCbCAAcCB,
AcBCAAAABAC,
aCcCBaaACAa,
aCcCaBCcABA,
aCcCbCAABcC,
aCcBCbCbCcC,
aCcBBAACbbC,
aCcBBAAaBBa,
aCcBABBbABA,
aCcBABABabC,
aCcBABAaBAA,
AcCbCAABaAB,
AcCbCABAbBB,
AcCbCBaBaAC,
AcCbCBAAbBC,
aCcABBAaABA,
aCcAACAaAAB,
AcCAAABAAaB,
AcCAAABABbA,
AcCAABAACcA, 3.8019377358 (mirror)
AcCAABBaaAC,
AcCABBaAABC,
AcCACcACAaA, 3.8997116487 (mirror)
AcCACAbBABC,
AcCACAaAACB,
AcCBaABABbB,
AcCBaBAABbC,
AcCBaBAACcB,
AcCBaBCbaAC,
AcCBABaABAC,
AcCBBabCBbC,
AcCBBAbBBAC,
AcCBBAaABBB,
aBCbCbBAACA,
aBCbCbABABB,
aBCbCbAABBA,
aBCbCbaBBAB,
aBCbCbaACAA,
aBCbBBabCBB,
aBCbBABcBCA,
aBCbBAAbCBA,
aBCbBaBBaBC,
aBCbBaBAABB,
aBCbBaBaBBA,
aBCbBaBbCBa, 4.7674791270 (mirror)
aBCbBbCbCBb,
aBCbABBcBBB,
aBCbABAbCAB,
aBCbAACbABB,
aBCbAACcBBA,
aBCbAABAAAC,
aBCbAABaBAB,
aBCbAABbCAA,
aBCbAAACbCb,
aBCbaBCcBAB,
aBCbbCBbCbC,
aBCbbCAAACb,
aBCbbCbCAAA,
aBCbbBCbCbB,
AbcBBBABaBA,
AbcBCAACbBA,
AbcBCABBcCA,
aBCcCAAbBCA,
aBCcCbCbBCb,
aBCcBBAbBBB,
aBCcBABaABB,
aBCcBABbBBA,
aBCcBABcCBa, 3.6530554722 (mirror)
AbcCABBAaBA,
AbcCBABBbBA,
AbcCBBABbBB,
aBBCbaACbCB,
aBBCbabCABB,
aBBCbabBBBA,
aBBCbbCbCAC,
aBBCbbaBBBa,
aBBBaAABBCc,
aBBBaaBACbC,
aBBBaaACbCA, 4.5635521509 (mirror)
aBBBbAACbBB,
aBBBcBABaBB,
aBBACcBcBCA,
aBBABcBBAAC,
aBBABcBABAB,
aBBAABbCbCB,
aBBAAAAACbC,
aBBAAbCAAAC,
aBBAAbCbCAA,
aBBAAbBCbCb,
aBBAaABBcCA,
aBBAaAACbBA,
aBBAbBBBcBB,
aBBAbBBAbCA,
aBBAbBACbAB,
aBBAbBABaBA,
aBBAbACBcBA,
aBBAbABCbAA,
aBBAbABBaBa, 4.3812862675 (mirror)
aBBaBBabCAC, 3.6190930741 (mirror)
aBBaBAAbCAB,
aBBaBaBAAAC,
aBBaBaBaBAB,
aBBaBaBbCAA,
aBBaBaACbCb,
aBBbCbCbBBa, 3.6843691470 (mirror)
aBABCcBcBBB,
aBABABbAACA,
aBABaABBcBB, 3.7964719596 (mirror)
aBABaABAbCA,
aBABaAABaBA, 4.2727822648 (mirror)
aBABbBBAbBB,
aBABbBABaAB, 4.0056247090 (mirror)
aBABbACAbBA, 4.2606356347 (mirror)
aBABcCBAbAC,
aBABcCAAAAB,
aBABcBBAAAA,
aBAAAAACbAA,
aBAAAAABaBa, 4.3812862675 (mirror)
AbABABABcBA,
AbABBbCAAbB,
AbABBBbAACb,
AbABCcBBAbB,
AbABCbAACbA,
AbABCbABAbC, 4.3812862675 (mirror)
AbABCbABBcB,
AbACAbCABcB,
AbACBcBBBcB, 3.6038754716 (mirror)
AbBAACbCbAA,
AbBABbCAAaA,
AbBACcBBAaA,
AbBACbABBbA,
AbBACBcBcCA,
AbBBAAAABbC,
AbBBAAAACcB,
AbBBAACbaAC,
AbBBBcBBBbA, 3.7589169666 (mirror)
AbBBBbABBbB, 3.8508550753 (mirror)
AbBCbCbCbAC,
AbCAAbCAAAA,
AbCAAAAACbA, 4.3812862675 (mirror)
AbCAAAABBcB,
AbCABcBBAAA,
AbCBbCbCbBB,
aACAaAACcCA, 4.7429361248 (mirror)
aABBbBABbBB, 4.0258851130 (mirror)
AAAAABABcBA, 4.3812862675 (mirror)
AAAABACbabC,
AAAABBBcBcB,
AAABBcBBBcB, 3.6038754716 (mirror)
AABbBBABcCb,
ABcBCbCbCbB,
ABbBBACcBcC,
bCBbCbBCbCc, 3.6853907808 (mirror)
Back to A316197