Self-avoiding unrooted walks of lengths <= 5
with turning angles from regular pentagon

Hugo Pfoertner, 2018-06-24, 2018-12-23

OEIS A306175

Code list of turning angles in degrees:
-36(a), +36(A), -108(b), +108(B)

Turning angle code, diameter of enclosing circle (type of symmetry)

Length=2:
A, 1.9021130326 (mirror)
B, 1.2360679775 (mirror)

Length=3:
Ab, 2.1489611417
Aa, 2.8698550447 (rot2)
AA, 2.6180339887 (mirror)
AB, 1.9021130326
Bb, 1.9400855709 (rot2)
BB, 1.2360679775 (mirror)

Length=4:
Abb, 2.1489611417
Aba, 2.3511410092
AbA, 3.0776835372 (mirror)
AbB, 2.9356488190
Aab, 2.8698550447
Aaa, 3.6180339887
AaA, 3.8042260652 (mirror)
AaB, 2.9528166582
AAb, 3.0776835372
AAA, 3.0776835372 (mirror)
AAB, 2.6180339887
ABb, 2.5262553337
ABA, 2.0000000000 (mirror)
ABB, 1.9021130326
Bbb, 1.9400855709
BbB, 2.3511410092 (mirror)
Bab, 2.2595514619
BaB, 2.1489611417 (mirror)
BAB, 1.9021130326 (mirror)

Length=5:
AbbA, 2.1489611417 (mirror)
AbbB, 2.2258840036
Abab, 2.3511410092
Abaa, 2.6562620522
AbaA, 3.1684637903
AbaB, 3.1012955339
AbAb, 3.0776835372
AbAa, 3.7536875128
AbAA, 4.0405739594
AbAB, 3.2360679775
AbBb, 3.3166247904
AbBa, 3.9334636079 (rot2)
AbBA, 3.4429786474
AbBB, 2.9356488190
Aabb, 2.8698550447
Aaba, 2.8698550447
AabB, 3.5188017863
Aaab, 3.6180339887
Aaaa, 4.0405739594
AaaA, 4.6180339887 (mirror)
AaaB, 4.0405739594
AaAb, 3.9334636079
AaAa, 4.7653125745 (rot2)
AaAA, 4.4659010188
AaAB, 3.8042260652
AaBb, 3.8233537619
AaBA, 2.9783154977
AaBB, 2.9528166582
AAbb, 3.0776835372
AAba, 3.2360679775
AAbB, 3.7536875128
AAab, 3.6180339887
AAaa, 4.4659010188 (rot2)
AAaB, 3.6180339887
AAAb, 3.7536875128
AAAA, 3.2360679775 (mirror)
AAAB, 3.0776835372
AABb, 2.8698550447
AABA, 2.6180339887
AABB, 2.6180339887
ABbb, 2.5262553337
ABba, 3.3166247904 (rot2)
ABbB, 2.5922756943
ABab, 2.7169773667
ABaB, 2.3511410092
ABAb, 2.3964254341
ABAB, 2.0000000000
ABBb, 1.9684143530
BbbB, 2.3819660113 (mirror)
Bbab, 2.5262553337
BbaB, 3.1012955339
BbAb, 2.9528166582
BbAB, 2.9356488190
BbBb, 3.0482447519 (rot2)
BbBB, 2.3511410092
Babb, 2.2595514619
Baab, 3.0776835372
BaaB, 3.2360679775 (mirror)
BaAb, 3.3166247904 (rot2)
BaAB, 2.9528166582
BaBB, 2.1489611417
BAbb, 2.2595514619
BAab, 2.8698550447 (rot2)
BAAB, 2.6180339887 (mirror)
BABB, 1.9021130326
BBbb, 1.9400855709 (rot2)

Back to A306175