Self-avoiding polygons of perimeters <= 9
with turning angles from regular decagon
Code list of turning angles in degrees:
0(0), +-36(Aa), +-72(Bb), +-108(Cc), +-144(Dd)
Turning angle code, diameter of enclosing circle (symmetry)
Perimeter = 4 (2 symmetric polygons):
ADA, 1.9021130326 (mirror,rot2)
BCB, 1.6180339887 (mirror,rot2)
Perimeter = 5 (2 symmetric polygons):
bDBB, 1.7013016167 (mirror)
BBBB, 1.7013016167 (mirror,rot5)
Perimeter = 6 (10 polygons, 8 symmetric):
0AD0A, 2.8698550447 (rot2)
0BC0B, 2.4972120410 (rot2)
aDBaD, 2.6180339887 (rot2)
aDAAC, 2.6180339887
aCCaC, 2.1489611417 (mirror,rot2)
aCBAB, 2.1489611417 (mirror)
AACAA, 2.6180339887 (mirror,rot2)
ABBAB, 2.1489611417 (mirror,rot2)
ABBCb, 2.1489611417
ACADc, 2.0000000000 (mirror)
Perimeter = 7 (10 polygons, 4 symmetric):
0bDBAA, 2.6257241270
0BBAAB, 2.6257241270 (mirror)
0BBACb, 2.4972120410
0BBBaC, 2.6257241270
0BBDcA, 2.4972120410
0BCaDb, 2.4972120410
0BCAbD, 2.6257241270
0BDaaD, 2.6257241270 (mirror)
0DbCCb, 2.2595514619 (mirror)
aDBdDB, 2.1489611417
aCBBbD, 2.6257241270
AABBBb, 2.6257241270
AADbDb, 2.6180339887 (mirror)
ABBDdB, 2.1489611417
ACbDBb, 2.4972120410
Perimeter = 8 (124 polygons, 53 symmetric):
00AD00A, 3.8541019662 (rot2)
00BC00B, 3.4429786474 (rot2)
0aDB0aD, 3.4770921679 (rot2)
0aDBaAC, 3.4770921679
0aDAA0C, 3.4770921679
0aCC0aC, 3.1391243948 (rot2)
0aCCaAB, 3.1391243948
0aCBA0B, 3.1391243948
0aBDaAA, 3.6180339887
0aBCA0A, 3.6180339887
0A0D0A0, 3.8042260652 (mirror,rot2)
0A0DAaA, 3.8042260652 (mirror)
0AAC0AA, 3.4770921679 (rot2)
0AAC0Ba, 3.4770921679
0AACAaB, 3.4770921679
0AACBbA, 3.4770921679
0ABB0AB, 3.1391243948 (rot2)
0ABB0Cb, 2.9528166582
0ABBAaC, 3.1391243948
0ABBCcA, 2.9528166582
0ACA0AC, 3.6180339887 (mirror,rot2)
0ACA0Dc, 2.9320107333 (mirror)
0ACAAaD, 3.6180339887
0ACADdA, 2.8698550447
0ADdDA0, 2.8866381182 (mirror)
0ADcCAA, 2.8698550447
0ADcCBa, 2.8698550447
0ADcDaB, 2.8698550447
0ADbBAB, 3.1391243948
0ADbBCb, 2.8782848749
0ADbCaC, 3.1391243948
0ADaADc, 2.9320107333
0ADaBaD, 3.6180339887 (mirror)
0AD0cDA, 2.8698550447
0AD0bCB, 3.1391243948
0bDAB0B, 2.7600786200
0BaD0Ba, 3.4770921679 (rot2)
0BaDAaB, 3.4770921679
0BaDBbA, 3.4770921679
0B0C0B0, 3.2360679775 (mirror,rot2)
0B0CBbB, 3.2360679775 (mirror)
0BAB0BA, 2.7600786200 (mirror,rot2)
0BAB0Ca, 2.7600786200 (mirror)
0BABBbC, 2.7600786200
0BABCcB, 2.7600786200
0BBADdB, 2.4972120410
0BCdDAA, 2.6180339887
0BCdDBa, 2.6180339887
0BCcCB0, 2.5694013108 (mirror)
0BCbBCa, 2.7600786200
0BCbDbC, 2.6257241270 (mirror)
0BCaADb, 2.9528166582
0BDadDB, 2.4972120410
0CbD0Cb, 2.9356488190 (rot2)
0CaC0Ca, 2.7600786200 (mirror,rot2)
0CaCCcB, 2.7600786200
0DcD0Dc, 2.3199064661 (mirror,rot2)
aDBaCAD, 2.6562620522
aDBaBBC, 3.0776835372
aDBcBDa, 3.0776835372 (mirror)
aDBcBCA, 3.0776835372
aDBdCBB, 2.6257241270
aDABaCC, 3.0776835372
aDAABAD, 2.6562620522
aDAAABC, 3.0776835372
aDAAaDA, 3.6180339887 (rot2)
aDAbCCa, 3.0776835372
aDAbCBA, 3.0776835372
aDAcDAB, 2.6562620522
aDaCCdC, 2.3511410092 (mirror)
aDaCBcD, 2.6562620522
aDaCaDa, 3.0776835372 (mirror,rot2)
aDaCaCA, 3.0776835372
aDaBCbC, 2.7527638409 (mirror)
aDaBABA, 3.0776835372 (mirror)
aDbDAbD, 2.7527638409
aDbDaDb, 2.4972120410 (mirror,rot2)
aDbDaBB, 2.7527638409 (mirror)
aDbCBaC, 2.7527638409
aDbCACb, 2.4972120410 (mirror)
aDbCAAB, 2.7527638409
aCCbDcD, 2.6257241270
aCCbACA, 3.0776835372
aCCdCBA, 2.3511410092
aCBAaCB, 3.1391243948 (rot2)
aCBAbDA, 3.0776835372
aCBaBCa, 3.0776835372 (mirror)
aCBaBBA, 3.0776835372
aCBcDAA, 2.6562620522
aCADcAC, 2.6562620522
aCABBcD, 2.6562620522
aCABaCA, 3.0776835372 (rot2)
aCAACbC, 2.7527638409
aCAAACa, 3.0776835372 (mirror)
aCAAABA, 3.0776835372
AcDABAA, 2.6562620522
aBDbCbD, 3.0776835372 (mirror)
aBDbABB, 3.0776835372
aBCAaBC, 3.4770921679 (rot2)
aBCAbCB, 3.0776835372
aBBBaBB, 3.0776835372 (mirror,rot2)
aBBAAAB, 3.0776835372 (mirror)
AbCBAAA, 3.0776835372
AbCCAbC, 3.0776835372 (rot2)
AbDAAAB, 3.0776835372
AbDAACb, 2.7527638409
AbDBAbD, 3.0776835372 (rot2)
AAABAAA, 3.0776835372 (mirror,rot2)
AAACBcB, 3.0776835372 (mirror)
AAADbCb, 3.0776835372 (mirror)
AABAACb, 2.7527638409 (mirror)
AABABBc, 2.6562620522
AABBCdB, 2.6257241270
AABCbDc, 2.6257241270
ABbDABb, 3.1391243948 (rot2)
ABABCdC, 2.3511410092 (mirror)
ABADcDc, 2.3511410092 (mirror)
ABBDcbD, 2.1489611417
ACcDACc, 2.5262553337 (rot2)
ACbCACb, 2.4972120410 (mirror,rot2)
ACbCBBc, 2.4972120410
bCBBbCB, 2.7600786200 (rot2)
BcDBBcD, 2.4972120410 (rot2)
BCdDBCd, 1.9021130326 (rot2)
Perimeter = 9 (352 polygons, 30 symmetric):
00bDBA0A, 3.6180339887
00BBA0AB, 3.6180339887 (mirror)
00BBA0Cb, 3.4429786474
00BBAAaC, 3.6180339887
00BBACcA, 3.4429786474
00BBBa0C, 3.6180339887
00BBDc0A, 3.4429786474
00BCaACb, 3.4429786474
00BCaBaC, 3.6180339887 (mirror)
00BCaDcA, 3.4429786474
00BC0aDb, 3.4429786474
00BC0AbD, 3.6180339887
00BCAbAC, 3.6180339887 (mirror)
00BCAaaD, 3.6180339887
00BDa0aD, 3.6180339887 (mirror)
00DbC0Cb, 3.0867238369 (mirror)
00DbCCcA, 3.0867238369
0aDB0dDB, 2.9528166582
0aDBdD0B, 2.9528166582
0aCCaBbD, 3.5136090540
0aCCa0Db, 3.1574821706 (mirror)
0aCCa0BB, 3.5136090540 (mirror)
0aCBDdAA, 3.1391243948
0aCBBaaD, 3.5136090540
0aCBBbAC, 3.5136090540
0aCBAAbD, 3.5136090540
0aCBAaDb, 3.1574821706
0aCBAaBB, 3.5136090540
0aCB0DcA, 3.1391243948
0aCB0BaC, 3.5136090540
0aCB0ACb, 3.1574821706
0aCB0AAB, 3.5136090540
0AcDBAA0, 3.4770921679
0AcDBBaA, 3.4770921679
0aBDbB0B, 3.6180339887
0aaDB0AA, 3.5136090540
0AABAA0B, 3.5136090540 (mirror)
0AABAABb, 3.4770921679
0AABACb0, 3.4770921679
0AABBaAB, 3.5136090540
0AABBaCb, 3.4770921679
0AABBBcA, 3.4770921679
0AABDbaA, 3.4770921679
0AACaB0B, 3.5136090540
0AACaBBb, 3.4770921679
0AACaDb0, 3.4770921679
0AACAbBB, 3.5136090540
0AACAbDb, 3.4770921679
0AACA0bD, 3.5136090540
0AACCdB0, 3.4770921679
0AADbAAB, 3.5136090540
0AADbACb, 3.4770921679
0AADbBaC, 3.5136090540
0AADbDcA, 3.4770921679
0AADaaBB, 3.5136090540
0AADaaDb, 3.4770921679
0AADaAbD, 3.5136090540
0AAD0bAC, 3.5136090540
0ABB0BbD, 3.6180339887
0ABB0DdB, 2.9528166582
0ABBBb0D, 3.6180339887
0ABBDd0B, 2.9528166582
0ACbCA0B, 3.1574821706 (mirror)
0ACbCABb, 3.1574821706
0ACbCCb0, 3.1574821706
0ACbDaAB, 3.1574821706
0ACbDaCb, 3.1574821706
0ACbDBcA, 3.1574821706
0ACAcD0B, 3.1391243948
0ACAcDBb, 2.9592437541
0ACAAdDB, 3.1391243948
0ACBdCAB, 3.1391243948
0ACBdCCb, 2.8782848749
0ACBdDaC, 3.1391243948
0ACBacDB, 3.1391243948
0ACBaABD, 3.5136090540
0ADcBB0B, 3.1391243948
0ADcBBBb, 2.9592437541
0ADcBDb0, 2.9592437541
0ADcDbBB, 3.1391243948
0ADcDbDb, 2.8782848749
0ADcD0bD, 3.1391243948
0ADbB0Db, 3.4429786474
0ADbBBbD, 3.6180339887 (mirror)
0ADbBDdB, 2.8782848749
0ADbDb0D, 3.6180339887
0ADabD0B, 3.1391243948
0ADabDBb, 2.9592437541
0ADaBdDB, 3.1391243948
0ADaB0BD, 3.5136090540
0AD0bBDb, 3.4429786474
0bDBAbCB, 3.2360679775
0bDBAcDA, 2.8398668227
0bDBaCaC, 3.2360679775
0bDBaBCb, 3.0776835372
0bDBaBAB, 3.2360679775
0bDBbDaB, 2.9323750316
0bDBbCBa, 2.9323750316
0bDBbCAA, 2.9323750316
0bDACaaD, 3.2360679775
0bDACbAC, 3.2360679775
0bDABAbD, 3.2360679775
0bDABaDb, 3.0776835372
0bDABaBB, 3.2360679775
0bDAADcA, 2.8212895589
0bDAABaC, 3.2360679775
0bDAAACb, 3.0776835372
0bDAAAAB, 3.2360679775
0bD0DaaC, 3.0867238369
0bD0DbAB, 3.0867238369
0bD0CAbC, 3.0867238369
0bD0CaCa, 3.0867238369
0bD0CaBA, 3.0867238369
0bD0BCbA, 3.0867238369
0bD0BBaB, 3.0867238369
0bD0BABa, 3.0867238369
0bD0BAAA, 3.0867238369
0bDaDaB0, 3.4770921679
0bDaCBaA, 3.4770921679
0BdDBAAA, 3.0776835372
0BdDBABa, 3.0776835372
0BdDBBaB, 3.0776835372
0BdDBCbA, 3.0776835372
0bCCAcD0, 3.1391243948
0bCCbDaA, 3.1574821706
0bCADbAA, 3.4770921679
0bCACaB0, 3.4770921679
0bCABBaA, 3.4770921679
0bBBCaAA, 3.6180339887
0BbDAAaC, 3.6180339887
0BbDACcA, 3.4429786474
0BaCAABb, 3.4770921679
0BaCBaAB, 3.5136090540
0BaCBaCb, 3.4770921679
0BaCBBcA, 3.4770921679
0BaDaB0B, 3.5136090540 (mirror)
0BaDaBBb, 3.4770921679
0BaDAbBB, 3.5136090540
0BaDAbDb, 3.4770921679
0b0DAAAA, 3.2360679775 (mirror)
0B0BAAAA, 3.2360679775 (mirror)
0B0BAABa, 3.2360679775
0B0BABaB, 3.2360679775
0B0BABAb, 3.2360679775
0B0BACbA, 3.2360679775
0B0BACaa, 3.2360679775
0B0BBaCa, 3.2360679775
0B0BBAbC, 3.2360679775
0B0BBBcB, 3.2360679775
0B0BCbCb, 3.2360679775
0B0BCaaC, 3.2360679775 (mirror)
0B0BCAcA, 3.2360679775
0B0BDcAA, 3.2360679775
0B0BDcBa, 3.2360679775
0B0BDbaB, 3.2360679775
0B0BDabA, 3.2360679775
0B0CaBBa, 3.2360679775 (mirror)
0B0CaCAb, 3.2360679775
0B0CaDbA, 3.2360679775
0B0CaDaa, 3.2360679775
0B0CABdC, 3.2360679775
0B0CBcDb, 3.2360679775
0B0CCdCa, 3.2360679775
0B0CCbbC, 3.2360679775 (mirror)
0BAAACbB, 3.0867238369
0BAABBcC, 2.9021184049
0BAADcAB, 2.9021184049
0BAADcCb, 2.9021184049
0BAADbaC, 2.9021184049
0BAAD0cA, 2.9021184049
0BABaDbB, 3.0867238369
0BABABdD, 2.7600786200
0BABCdBB, 2.7600786200
0BABCdDb, 2.7600786200
0BABCbbD, 2.7600786200
0BACbDcC, 2.7600786200
0BACaCdD, 2.7600786200
0BACBdAC, 2.7600786200
0BACBcaD, 2.7600786200
0BBcDABb, 3.1391243948
0BBbCABa, 3.0867238369
0BBbCBaB, 3.0867238369
0BBbCBAb, 3.0867238369
0BBbCCbA, 3.0867238369
0BBbCCaa, 3.0867238369
0BBbDaCa, 3.0867238369
0BBbDAbC, 3.0867238369
0BBbDBcB, 3.0867238369
0BBaCBcC, 2.9021184049
0BB0BCdC, 2.6257241270 (mirror)
0BB0DcDc, 2.6257241270 (mirror)
0BB0DAdA, 2.6257241270 (mirror)
0BBAcDBa, 2.9021184049
0BBAaDAc, 3.1391243948
0BBADcbD, 2.6257241270
0BBBdCCa, 2.7600786200
0BBBCdaD, 2.6257241270
0BBCbcDB, 2.6257241270
0BBDdADc, 2.5089890525
0BBDccDA, 2.4972120410
0BCdCBBb, 2.6257241270
0BCcBBBa, 2.9021184049
0BCcBCAb, 2.9021184049
0BCcBDbA, 2.9021184049
0BCcBDaa, 2.9021184049
0BCcDbDa, 2.7600786200
0BCcDAcD, 2.6257241270
0BCcDBdC, 2.5694013108
0BCbCBdD, 2.6257241270
0BCabDBa, 2.9021184049
0BCaACBd, 2.9528166582
0BCAdBDa, 2.7600786200
0BCAaCBD, 2.9528166582
0BDdBACa, 2.7600786200
0BDdBDcB, 2.5234380952
0BDdCaDa, 2.7600786200
0BDdCBcD, 2.6257241270
0BDdCCdC, 2.4972120410
0BDbbCCa, 2.7600786200
0BDacBDa, 2.7600786200
0CbD0DdB, 2.9356488190
0CaBDcCb, 2.9021184049
0CaCCdDb, 2.7600786200
0DcACABb, 3.1391243948
0DcADaCb, 3.1391243948
0DcDcDBb, 2.6257241270
0dBDaCAA, 2.6562620522
0dBCABAA, 2.6562620522
0DbaDABb, 3.1391243948
aDBaCbDB, 3.4770921679
aDBaADbD, 3.4770921679
aDBaABDb, 3.5136090540
aDBaABBB, 3.5136090540
aDBacDBB, 3.1391243948
aDBbDbCC, 3.0776835372
aDBbBCaD, 3.2360679775
aDBbBBDc, 3.2360679775
aDBbBBAC, 3.2360679775
aDBbbDBA, 3.0776835372
aDBcCBDd, 2.7600786200
aDBdDAAD, 2.7527638409
aDBdDaCB, 3.1391243948
aDBdDbDA, 3.0776835372
aDBdCCbD, 2.8782848749
aDBdCADb, 3.1391243948
aDBdCABB, 3.1391243948
aDBdBDbC, 2.7527638409
aDBdBBCa, 3.0776835372
aDBdBBBA, 3.0776835372
aDAABbDB, 3.4770921679
aDAAdDBB, 3.1391243948
aDAbDBdD, 2.7527638409
aDAbBDbB, 3.4770921679
aDAcDBbD, 2.9592437541
aDaDbDdD, 2.6562620522
aDaBDbbD, 2.7527638409 (mirror)
aDaBDdBB, 2.7527638409
aDbDaCbD, 3.1574821706
aDbDaABB, 3.1574821706 (mirror)
aDbDbDbC, 2.7527638409
aDbDbBCa, 3.0776835372
aDbDbBBA, 3.0776835372
aDbDdDAA, 2.6562620522
aDbCADdB, 2.4972120410
aDbCABbD, 3.1574821706
aDbBBCcB, 2.8398668227
aDbBBBbC, 2.9323750316
aDbACBbB, 3.2360679775
aCCaBBBD, 2.6257241270
aCCbBBDd, 2.7600786200
aCCdBDbB, 2.7007458120
aCBDdaCB, 2.6257241270
aCBDdbDA, 2.3511410092
aCBBbCAD, 2.8398668227
aCBBbBBC, 3.2360679775 (mirror)
aCBBdBCA, 3.0776835372
aCBAABBD, 2.6257241270
aCBAaBDb, 3.5136090540
aCBaCBdD, 2.7527638409
aCBaADbB, 3.4770921679
aCBbDAcD, 2.8212895589
aCBbDbCA, 3.0776835372
aCBbBDbA, 3.2360679775
aCBbBCaB, 3.2360679775 (mirror)
aCBbBBBa, 3.2360679775
aCBbBBAA, 3.2360679775
aCBdDAAB, 2.7527638409
aCACbDdD, 2.6562620522
aCAADbbD, 2.7527638409
aCAADdBB, 2.7527638409
aCAABBdD, 2.7527638409
aCbDBbAC, 3.4770921679
aCbDAAbD, 3.4770921679
aCbDAaBB, 3.4770921679
AcDAABBb, 2.8212895589
AcDACbBB, 2.8398668227
AcDACbDb, 2.6562620522
AcDBAADd, 2.6257241270
AcDBBdDA, 2.4972120410
AcDBBcCB, 2.8065132419
AcDBBbBC, 3.2360679775
aBDbBbDA, 3.2360679775
aBDbACbD, 3.4770921679
aBDbAABB, 3.5136090540
aBCAbDbD, 3.4770921679
aBCAbBBB, 3.5136090540
aBCbDbBB, 3.0776835372
aBBBaABB, 3.5136090540 (mirror)
aBBBbBBA, 3.2360679775
aBBAABbD, 3.4770921679
AbBDbBAA, 3.4770921679
AbCABBbB, 3.2360679775
AbCBBbBB, 3.2360679775
AbCBBbDb, 3.0776835372
AbCCbDbB, 3.0776835372
AbDAABbD, 3.4770921679
AbDAADdB, 2.7527638409
AbDBdDAA, 2.7527638409
AbDBbBBA, 3.2360679775
AbDBbDbC, 3.0776835372
AAAABBbB, 3.2360679775 (mirror)
AAAADbBb, 3.2360679775 (mirror)
AAABBbDb, 3.0776835372
AAABBBdB, 3.0776835372
AAABDbbB, 3.0776835372
AAACBdDb, 3.0776835372
AABAABBd, 2.7527638409
AABAADbb, 2.7527638409 (mirror)
AABACbDd, 2.6562620522
AABBCcbD, 2.6257241270
AABDdBCc, 2.6257241270
AABDbdDA, 2.6257241270
AACbBBBb, 2.9323750316 (mirror)
AACbDbDb, 2.7527638409 (mirror)
AACbDBdB, 2.7527638409
AACCdBDd, 2.6180339887
ABdDBBbC, 2.7600786200
ABdDBCcB, 2.7600786200
ABbDACdB, 3.1391243948
ABbDBbDc, 3.1391243948
ABABBDdb, 2.3511410092
ABBdDACb, 2.4972120410
ABBdDBBc, 2.4972120410
ABBcCBBb, 2.8398668227
ABBbDBdC, 2.7007458120
ABCdDBdD, 2.2110831936
ACbBDbCc, 2.8398668227
ACbCADbb, 2.4972120410 (mirror)
ACbCCbDd, 2.4972120410
bDBbBBCb, 3.2360679775
bDcCBBbC, 2.7600786200
BdDBCdCB, 2.2595514619
Back to A316200