Symmetric self-avoiding unrooted walks of lengths <= 7
on hexagonal lattice
Code list of turning angles in degrees:
0(0), -60(a), +60(A), -120(b), +120(B),
Turning angle code, diameter of enclosing circle (symmetry)
Length = 2 (3 walks):
0, 2.0000000000 (mirror, point)
A, 1.7320508076 (mirror)
B, 1.1547005384 (mirror)
Length = 3 (4 walks):
00, 3.0000000000 (mirror, point)
Aa, 2.6457513111 (point)
AA, 2.0000000000 (mirror)
Bb, 1.7320508076 (point)
Length = 4 (12 walks):
000, 4.0000000000 (mirror, point)
0A0, 3.4641016151 (mirror)
0B0, 2.3094010768 (mirror)
AbA, 3.0000000000 (mirror)
AaA, 3.4641016151 (mirror)
A0a, 3.4641016151 (point)
A0A, 3.0000000000 (mirror)
AAA, 2.0000000000 (mirror)
BbB, 2.0000000000 (mirror)
BaB, 2.0000000000 (mirror)
B0b, 2.0000000000 (point)
B0B, 2.0000000000 (mirror)
Length = 5 (18 walks):
0000, 5.0000000000 (mirror, point)
0Aa0, 4.5825756950 (point)
0AA0, 3.0550504633 (mirror)
0Bb0, 3.6055512755 (point)
AbBa, 3.6055512755 (point)
AaaA, 4.0000000000 (mirror)
AaAa, 4.3588989435 (point)
A00a, 4.3588989435 (point)
A00A, 4.0000000000 (mirror)
AAaa, 3.6055512755 (point)
AAAA, 2.0000000000 (mirror)
ABba, 2.6457513111 (point)
BbBb, 2.6457513111 (point)
BaaB, 3.0000000000 (mirror)
BaAb, 3.0000000000 (point)
B00b, 3.0000000000 (point)
B00B, 3.0000000000 (mirror)
BAab, 2.6457513111 (point)
Length = 6 (50 walks):
00000, 6.0000000000 (mirror, point)
00A00, 5.1961524227 (mirror)
00B00, 3.4641016151 (mirror)
0AbA0, 5.0000000000 (mirror)
0AaA0, 5.1961524227 (mirror)
0A0a0, 5.2915026221 (point)
0A0A0, 4.0000000000 (mirror)
0AAA0, 2.8000000000 (mirror)
0BbB0, 3.0550504633 (mirror)
0BaB0, 2.6457513111 (mirror)
0B0b0, 3.4641016151 (point)
Ab0bA, 2.6457513111 (mirror)
Ab0Ba, 4.0000000000 (point)
AbAbA, 3.4641016151 (mirror)
AbBbA, 4.0000000000 (mirror)
AaaaA, 3.5000000000 (mirror)
Aa0aA, 5.0000000000 (mirror)
Aa0Aa, 5.2915026221 (point)
AaAaA, 5.1961524227 (mirror)
AaBaA, 4.0000000000 (mirror)
A0b0A, 4.0000000000 (mirror)
A0a0A, 5.1961524227 (mirror)
A000a, 5.2915026221 (point)
A000A, 5.0000000000 (mirror)
A0A0A, 3.6055512755 (mirror)
A0B0A, 2.6943012562 (mirror)
AAbAA, 4.0000000000 (mirror)
AAaAA, 3.6055512755 (mirror)
AA0aa, 4.0000000000 (point)
AA0AA, 3.0000000000 (mirror)
ABbBA, 2.0000000000 (mirror)
AB0ba, 2.0000000000 (point)
Bb0bB, 3.0000000000 (mirror)
Bb0Bb, 3.4641016151 (point)
BbAbB, 3.4641016151 (mirror)
BbBbB, 3.0000000000 (mirror)
BaaaB, 3.4641016151 (mirror)
Ba0aB, 4.0000000000 (mirror)
Ba0Ab, 4.0000000000 (point)
BaAaB, 3.6055512755 (mirror)
BaBaB, 3.0000000000 (mirror)
B0b0B, 3.0000000000 (mirror)
B0a0B, 3.6055512755 (mirror)
B000b, 4.0000000000 (point)
B000B, 4.0000000000 (mirror)
B0A0B, 3.4641016151 (mirror)
BAbAB, 3.0000000000 (mirror)
BAaAB, 3.4641016151 (mirror)
BA0ab, 3.4641016151 (point)
BA0AB, 3.0000000000 (mirror)
Length = 7 (78 walks):
000000, 7.0000000000 (mirror, point)
00Aa00, 6.5574385243 (point)
00AA00, 4.1633319989 (mirror)
00Bb00, 5.5677643628 (point)
0AbBa0, 5.5677643628 (point)
0AaaA0, 6.0000000000 (mirror)
0AaAa0, 6.2449979984 (point)
0A00a0, 6.0827625303 (point)
0A00A0, 5.0000000000 (mirror)
0AAaa0, 5.1961524227 (point)
0ABba0, 4.3588989435 (point)
0BbBb0, 4.3588989435 (point)
0BaaB0, 4.0000000000 (mirror)
0BaAb0, 4.3588989435 (point)
0B00b0, 3.6055512755 (point)
0B00B0, 3.0550504633 (mirror)
0BAab0, 2.6457513111 (point)
AbaABa, 3.6055512755 (point)
Ab00bA, 3.4641016151 (mirror)
Ab00Ba, 4.5825756950 (point)
AbAaBa, 5.0000000000 (point)
AbAAbA, 5.0000000000 (mirror)
AbBbBa, 4.5825756950 (point)
AabBAa, 4.5825756950 (point)
AaaaaA, 3.0550504633 (mirror)
AaaAAa, 5.5677643628 (point)
Aa00aA, 6.0000000000 (mirror)
Aa00Aa, 6.2449979984 (point)
AaAaAa, 6.0827625303 (point)
AaAAaA, 5.0000000000 (mirror)
AaBbAa, 5.1961524227 (point)
A0bB0a, 5.1961524227 (point)
A0aa0A, 5.0000000000 (mirror)
A0aA0a, 6.0827625303 (point)
A0000a, 6.2449979984 (point)
A0000A, 6.0000000000 (mirror)
A0Aa0a, 5.5677643628 (point)
A0AA0A, 3.0550504633 (mirror)
A0Bb0a, 4.5825756950 (point)
AAbBaa, 4.5825756950 (point)
AAaaAA, 5.0000000000 (mirror)
AAaAaa, 5.0000000000 (point)
AA00aa, 4.5825756950 (point)
AA00AA, 4.0000000000 (mirror)
AAAaaa, 3.6055512755 (point)
AABbaa, 3.0000000000 (point)
ABbBba, 3.0000000000 (point)
ABaaBA, 3.0000000000 (mirror)
ABaAba, 3.0000000000 (point)
AB00ba, 3.0000000000 (point)
BbaABb, 3.6055512755 (point)
Bb00bB, 4.0000000000 (mirror)
Bb00Bb, 4.3588989435 (point)
BbAaBb, 4.3588989435 (point)
BbAAbB, 4.0000000000 (mirror)
BbBbBb, 3.6055512755 (point)
BabBAb, 3.6055512755 (point)
BaaaaB, 3.0550504633 (mirror)
BaaAAb, 4.5825756950 (point)
Ba00aB, 5.0000000000 (mirror)
Ba00Ab, 5.0000000000 (point)
BaAaAb, 4.5825756950 (point)
BaAAaB, 4.0000000000 (mirror)
BaBbAb, 3.6055512755 (point)
B0bB0b, 3.6055512755 (point)
B0aa0B, 4.0000000000 (mirror)
B0aA0b, 4.5825756950 (point)
B0000b, 5.0000000000 (point)
B0000B, 5.0000000000 (mirror)
B0Aa0b, 4.5825756950 (point)
B0AA0B, 3.0550504633 (mirror)
B0Bb0b, 3.6055512755 (point)
BAbBab, 3.6055512755 (point)
BAaaAB, 4.0000000000 (mirror)
BAaAab, 4.3588989435 (point)
BA00ab, 4.3588989435 (point)
BA00AB, 4.0000000000 (mirror)
BAAaab, 3.6055512755 (point)
Back to A306176