U-tiling: UQC1902
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1403 |
*2626 |
(2,5,4) |
{7,3} |
{12.3.4.6.4.3.12}{3.4.4} |
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
|
|
sqc7261
|
|
R-3m |
166 |
rhombohedral |
{7,3} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7266
|
|
R-3 |
148 |
rhombohedral |
{7,3} |
12 |
(2,6) |
|
D
|
False
|
|
sqc7265
|
|
R-3m |
166 |
rhombohedral |
{7,3} |
12 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {12.3.4.6.4.3.12}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.1:120:21 12 13 6 7 108 109 110 31 16 17 118 119 120 42 43 26 27 78 79 80 52 53 36 37 68 69 70 61 46 47 98 99 100 71 56 57 88 89 90 82 83 66 67 92 93 76 77 101 86 87 111 96 97 112 113 106 107 116 117,2 4 9 16 8 100 12 14 19 18 90 22 24 29 46 28 120 32 34 39 56 38 110 42 44 49 48 60 52 54 59 58 62 64 69 86 68 80 72 74 79 96 78 82 84 89 88 92 94 99 98 102 104 109 116 108 112 114 119 118,91 3 5 7 18 10 81 13 15 17 20 111 23 25 27 48 30 101 33 35 37 58 40 51 43 45 47 50 53 55 57 60 71 63 65 67 88 70 73 75 77 98 80 83 85 87 90 93 95 97 100 103 105 107 118 110 113 115 117 120:12 3 4 6 4 3 4 3 4 4 4 3 3 3,7 3 7 7 3 7 3 7 7 3 3 3> {(0, 29): 't3', (0, 18): 't1^-1', (0, 8): 't1^-1', (2, 10): 'tau3', (0, 59): 't2', (0, 48): 't3', (0, 38): 't2', (0, 19): 't1^-1', (0, 9): 't1^-1', (2, 20): 'tau2^-1', (2, 50): 'tau1^-1', (0, 27): 't3', (0, 49): 't3', (0, 39): 't2', (2, 0): 'tau2^-1', (1, 59): 'tau1^-1', (1, 79): 'tau1^-1', (1, 99): 'tau2', (0, 57): 't2', (0, 47): 't3', (2, 30): 'tau3', (0, 17): 't1^-1', (1, 89): 'tau3^-1', (0, 7): 't1^-1', (0, 28): 't3', (1, 119): 'tau2', (1, 109): 'tau3^-1', (0, 37): 't2', (0, 58): 't2', (2, 60): 'tau1', }