U-tiling: UQC1927
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1414 |
*2626 |
(2,5,4) |
{5,5} |
{12.4.3.4.12}{4.4.3.6.3} |
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
|
|
sqc7308
|
|
R-3m |
166 |
rhombohedral |
{5,5} |
12 |
(2,5) |
|
G
|
False
|
|
sqc7315
|
|
R-3 |
148 |
rhombohedral |
{5,5} |
12 |
(2,6) |
|
D
|
False
|
|
sqc7320
|
|
R-3m |
166 |
rhombohedral |
{5,5} |
12 |
(2,5) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {12.4.3.4.12}{4.4.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<55.1:120:21 12 13 6 7 18 99 100 31 16 17 89 90 42 43 26 27 48 119 120 52 53 36 37 58 109 110 61 46 47 59 60 71 56 57 82 83 66 67 88 79 80 92 93 76 77 98 101 86 87 111 96 97 112 113 106 107 118 116 117,2 4 95 8 9 110 12 14 85 18 19 120 22 24 115 28 29 80 32 34 105 38 39 70 42 44 55 48 49 100 52 54 58 59 90 62 64 75 68 69 72 74 78 79 82 84 88 89 92 94 98 99 102 104 108 109 112 114 118 119,91 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 97 100 103 105 107 110 113 115 117 120:12 4 3 6 3 4 3 4 3 3 4 3 4 4,5 5 5 5 5 5 5 5 5 5 5 5> {(0, 39): 'tau3', (2, 97): 't3^-1', (0, 29): 'tau2^-1', (2, 0): 'tau2^-1', (1, 44): 'tau1', (2, 20): 'tau2^-1', (0, 8): 'tau2^-1', (2, 27): 't3', (2, 7): 't1^-1', (1, 79): 't3^-1', (1, 114): 'tau2', (1, 104): 'tau3^-1', (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, 84): 'tau3^-1', (1, 89): 't2^-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', (2, 17): 't1^-1', (2, 37): 't2', (1, 74): 'tau1^-1', (0, 58): 'tau1^-1', (1, 94): 'tau2', (2, 60): 'tau1', }