IH # Topo. Incidence symbol HK # HK sym. BW # BW sym. Sample Tile sym. Tiling sym.
IH1 [36] [a+b+c+d+e+f+;d+e+f+a+b+c+] HK2 TTTTTT BW37 TTTTTT c1
p1
o
IH2 [36] [a+b+c+d+e+f+;b-a-f+e-d-c+] HK18 TG1G1TG2G2 BW39 TG1G1TG2G2 c1
pg
××
IH3 [36] [a+b+c+d+e+f+;c-e+a-f-b+d-] HK20 TG1G2TG2G1 BW40 TG1G2TG2G1 c1
pg
××
IH4 [36] [a+b+c+d+e+f+;a+e+c+d+b+f+] HK7 TCCTCC BW38 TCCTCC c1
p2
2222
IH5 [36] [a+b+c+d+e+f+;a+e+d-c-b+f+] HK24 TCCTGG BW42 TGGTCC c1
pgg
22×
IH6 [36] [a+b+c+d+e+f+;a+e-c+f-b-d-] HK28 CG1CG2G1G2 BW41 G1G2CG1CG2 c1
pgg
22×
IH7 [36] [a+b+c+d+e+f+;b+a+d+c+f+e+] HK9 C3C3C3C3C3C3 BW43 C3C3C3C3C3C3 c1
p3
333
IH8 [36] [a+b+c+a+b+c+;a+b+c+] c2
p2
2222
IH9 [36] [a+b+c+a+b+c+;a+c-b-] c2
pgg
22×
IH10 [36] [a+b+a+b+a+b+;b+a+] c3
p3
333
IH11 [36] [a+a+a+a+a+a+;a+] c6
p6
632
IH12 [36] [ab+c+dc-b-;dc-b-a] d1
cm
∗×
IH13 [36] [ab+c+dc-b-;db+c+a] d1
pmg
22∗
IH14 [36] [a+b+c+c-b-a-;c-b-a-] d1
cm
∗×
IH15 [36] [a+b+c+c-b-a-;a+b-c+] d1
pmg
22∗
IH16 [36] [a+b+c+c-b-a-;a-c+b+] d1
p31m
3∗3
IH17 [36] [ab+b-ab+b-;ab+] d2
cmm
2∗22
IH18 [36] [ababab;ba] d3
p31m
3∗3
IH19 [36] [a+a-a+a-a+a-;a-] d3
p3m1
∗333
IH20 [36] [aaaaaa;a] d6
p6m
∗632
IH21 [34.6] [a+b+c+d+e+;a+c+b+e+d+] HK13 CC3C3C6C6 BW36 C6CC3C3C6 c1
p6
632
IH22 [33.42] [a+b+c+d+e+;b-a-e+d-c+] BW33 TGGTS c1
cm
∗×
IH23 [33.42] [a+b+c+d+e+;a+b+e+d+c+] HK6 TCTCC BW32 TCCTC c1
p2
2222
IH24 [33.42] [a+b+c+d+e+;a+b+e+d-c+] BW35 TCCTS c1
pmg
22∗
IH25 [33.42] [a+b+c+d+e+;b-a-e+d+c+] HK23 TCTGG BW34 TGGTC c1
pgg
22×
IH26 [33.42] [a+a-b+cb-;a+b-c] d1
cmm
2∗22
IH27 [32.4.3.4] [a+b+c+d+e+;a+d-e-b-c-] HK27 CG1G2G1G2 BW30 G1G2G1G2C c1
pgg
22×
IH28 [32.4.3.4] [a+b+c+d+e+;a+c+b+e+d+] HK16 CC4C4C4C4 BW31 C4C4C4C4C c1
p4
442
IH29 [32.4.3.4] [ab+c+c-b-;ac+b+] d1
p4g
4∗2
IH30 [3.4.6.4] [a+b+c+d+;d+b-c-a+] BW29 C3C3SS c1
p31m
3∗3
IH31 [3.4.6.4] [a+b+c+d+;d+c+b+a+] HK12 C3C3C6C6 BW28 C6C3C3C6 c1
p6
632
IH32 [3.4.6.4] [a+b+b-a-;a-b-] d1
p6m
∗632
IH33 [3.6.3.6] [a+b+c+d+;d+c+b+a+] HK8 C3C3C3C3 BW27 C3C3C3C3 c1
p3
333
IH34 [3.6.3.6] [a+b+a+b+;b+a+] c2
p6
632
IH35 [3.6.3.6] [a+b+b-a-;a-b-] d1
p3m1
∗333
IH36 [3.6.3.6] [a+a-b+b-;b-a-] d1
p31m
3∗3
IH37 [3.6.3.6] [a+a-a+a-;a-] d2
p6m
∗632
IH38 [3.122] [a+b+c+;c+b-a+] BW11 C3C3S c1
p31m
3∗3
IH39 [3.122] [a+b+c+;c+b+a+] HK10 CC3C3 BW10 C3C3C c1
p6
632
IH40 [3.122] [a+ba-;a-b] d1
p6m
∗632
IH41 [44] [a+b+c+d+;c+d+a+b+] HK1 TTTT BW12 TTTT c1
p1
o
IH42 [44] [a+b+c+d+;c+b-a+d-] BW18 TSTS c1
pm
∗∗
IH43 [44] [a+b+c+d+;c-d+a-b+] HK19 TGTG BW16 TGTG c1
pg
××
IH44 [44] [a+b+c+d+;b-a-d-c-] HK17 G1G1G2G2 BW15 G1G1G2G2 c1
pg
××
IH45 [44] [a+b+c+d+;c-b-a-d-] BW17 GSGS c1
cm
∗×
IH46 [44] [a+b+c+d+;a+b+c+d+] HK4 CCCC BW13 CCCC c1
p2
2222
IH47 [44] [a+b+c+d+;c+b+a+d+] HK5 TCTC BW14 TCTC c1
p2
2222
IH48 [44] [a+b+c+d+;a-b-c-d-] c1
pmm
∗2222
IH49 [44] [a+b+c+d+;a-b+c-d+] BW23 CSCS c1
pmg
22∗
IH50 [44] [a+b+c+d+;c+b-a+d+] BW22 TCTS c1
pmg
22∗
IH51 [44] [a+b+c+d+;c-b+a-d+] HK25 CGCG BW20 GCGC c1
pgg
22×
IH52 [44] [a+b+c+d+;c-d-a-b-] HK26 G1G2G1G2 BW21 G1G2G1G2 c1
pgg
22×
IH53 [44] [a+b+c+d+;b-a-c+d+] HK22 CCGG BW19 GGCC c1
pgg
22×
IH54 [44] [a+b+c+d+;a-b-c-d+] BW24 CSSS c1
cmm
2∗22
IH55 [44] [a+b+c+d+;b+a+d+c+] HK15 C4C4C4C4 BW25 C4C4C4C4 c1
p4
442
IH56 [44] [a+b+c+d+;b+a+c-d-] BW26 C4C4SS c1
p4g
4∗2
IH57 [44] [a+b+a+b+;a+b+] c2
p2
2222
IH58 [44] [a+b+a+b+;a-b+] c2
pmg
22∗
IH59 [44] [a+b+a+b+;b-a-] c2
pgg
22×
IH60 [44] [a+b+a+b+;a-b-] c2
cmm
2∗22
IH61 [44] [a+b+a+b+;b+a+] c2
p4
442
IH62 [44] [a+a+a+a+;a+] c4
p4
442
IH63 [44] [a+a+a+a+;a-] c4
p4g
4∗2
IH64 [44] [ab+cb-;cb-a] dl
pm
∗∗
IH65 [44] [ab+cb-;ab-c] dl
pmm
∗2222
IH66 [44] [ab+cb-;cb+a] dl
pmg
22∗
IH67 [44] [a+ba-c;a+bc] dl
cmm
2∗22
IH68 [44] [a+b+b-a-;b-a-] dl
cm
∗×
IH69 [44] [a+a-b+b-;a+b+] dl
pmg
22∗
IH70 [44] [a+b+b-a-;a-b-] dl
p4m
∗442
IH71 [44] [a+b+b-a-;b+a+] dl
p4g
4∗2
IH72 [44] [abab;ab] d2
pmm
∗2222
IH73 [44] [abab;ba] d2
p4g
4∗2
IH74 [44] [a+a-a+a-;a+] d2
cmm
2∗22
IH75 [44] [a+a-a+a-;a-] d2
p4m
∗442
IH76 [44] [aaaa;a] d4
p4m
∗442
IH77 [4.6.12] [a+b+c+;a-b-c-] BW9 SSS c1
p6m
∗632
IH78 [4.82] [a+b+c+;a-b+c-] BW6 CSS c1
cmm
2∗22
IH79 [4.82] [a+b+c+;c+b+a+] HK14 CC4C4 BW7 C4C4C c1
p4
442
IH80 [4.82] [a+b+c+;a-b-c-] BW9 SSS c1
p4m
∗442
IH81 [4.82] [a+b+c+;c+b-a+] BW8 C4C4S c1
p4g
4∗2
IH82 [4.82] [a+ba-;a-b] d1
p4m
∗442
IH83 [63] [a+b+c+;b-a-c-] BW2 GGS c1
cm
∗×
IH84 [63] [a+b+c+;a+b+c+] HK3 CCC BW1 CCC c1
p2
2222
IH85 [63] [a+b+c+;a-b+c+] BW4 CCS c1
pmg
22∗
IH86 [63] [a+b+c+;b-a-c+] HK21 CGG BW3 GGC c1
pgg
22×
IH87 [63] [a+b+c+;a-b-c-] BW9 SSS c1
p3m1
∗333
IH88 [63] [a+b+c+;b+a+c+] HK11 CC6C6 BW5 C6C6C c1
p6
632
IH89 [63] [a+a+a+;a-] c3
p31m
3∗3
IH90 [63] [a+a+a+;a+] c3
p6
632
IH91 [63] [a+a-b;a+b] d1
cmm
2∗22
IH92 [63] [ab+b-;ab-] d1
p6m
∗632
IH93 [63] [aaa;a] d3
p6m
∗632