U-tiling: UQC1933
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1418 |
*2626 |
(2,5,4) |
{7,3} |
{12.4.3.6.3.4.12}{4.4.3} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc7262
|
|
R-3m |
166 |
rhombohedral |
{3,7} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7263
|
|
R-3 |
148 |
rhombohedral |
{3,7} |
12 |
(2,6) |
|
D
|
False
|
|
sqc7267
|
|
R-3m |
166 |
rhombohedral |
{3,7} |
12 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {12.4.3.6.3.4.12}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.1:120:21 4 5 26 27 18 99 100 31 14 15 36 37 89 90 24 25 48 119 120 34 35 58 109 110 61 44 45 66 67 59 60 71 54 55 76 77 64 65 88 79 80 74 75 98 101 84 85 106 107 111 94 95 116 117 104 105 118 114 115,2 93 6 9 8 110 12 83 16 19 18 120 22 113 26 29 28 80 32 103 36 39 38 70 42 53 46 49 48 100 52 56 59 58 90 62 73 66 69 68 72 76 79 78 82 86 89 88 92 96 99 98 102 106 109 108 112 116 119 118,91 3 5 7 108 10 81 13 15 17 118 20 111 23 25 27 78 30 101 33 35 37 68 40 51 43 45 47 98 50 53 55 57 88 60 71 63 65 67 70 73 75 77 80 83 85 87 90 93 95 97 100 103 105 107 110 113 115 117 120:4 3 12 6 4 3 3 3 4 3 4 3 4 4,3 7 3 7 3 7 3 7 3 7 7 3> {(0, 39): 'tau3', (2, 97): 't3^-1', (2, 27): 't3', (2, 0): 'tau2^-1', (2, 20): 'tau2^-1', (0, 8): 'tau2^-1', (1, 112): 'tau2', (0, 29): 'tau2^-1', (2, 7): 't1^-1', (1, 29): 't3', (1, 99): 't3^-1', (2, 10): 'tau3', (1, 39): 't2', (2, 30): 'tau3', (0, 69): 'tau1', (0, 78): 'tau1^-1', (0, 59): 'tau1^-1', (1, 89): 't2^-1', (2, 17): 't1^-1', (0, 38): 'tau3', (0, 19): 'tau3', (0, 28): 'tau2^-1', (0, 9): 'tau2^-1', (1, 119): 't1', (2, 57): 't2', (1, 109): 't1', (0, 18): 'tau3', (2, 50): 'tau1^-1', (1, 82): 'tau3^-1', (1, 72): 'tau1^-1', (2, 37): 't2', (1, 92): 'tau2', (1, 102): 'tau3^-1', (0, 58): 'tau1^-1', (1, 52): 'tau1^-1', (2, 60): 'tau1', }