U-tiling: UQC76
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc175 |
*2323 |
(3,3,1) |
{6,4,3} |
{5.5.5.5.5.5}{5.5.5.5}{5.5.5} |
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
|
|
sqc7300
|
|
P4232 |
208 |
cubic |
{6,4,3} |
14 |
(3,3) |
|
G
|
False
|
|
sqc7279
|
|
I213 |
199 |
cubic |
{6,4,3} |
14 |
(3,3) |
|
D
|
False
|
|
sqc7270
|
|
F-43m |
216 |
cubic |
{6,4,3} |
14 |
(3,3) |
Topological data
| Vertex degrees | {6,4,3} |
| 2D vertex symbol | {5.5.5.5.5.5}{5.5.5.5}{5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.1:120:16 3 5 26 8 10 61 13 15 18 20 91 23 25 28 30 106 33 35 51 38 40 71 43 45 81 48 50 53 55 96 58 60 63 65 111 68 70 73 75 101 78 80 83 85 116 88 90 93 95 98 100 103 105 108 110 113 115 118 120,2 4 20 7 9 30 12 14 65 17 19 22 24 95 27 29 32 34 110 37 39 55 42 44 75 47 49 85 52 54 57 59 100 62 64 67 69 115 72 74 77 79 105 82 84 87 89 120 92 94 97 99 102 104 107 109 112 114 117 119,6 12 13 39 40 32 33 79 80 21 59 60 26 67 68 74 75 42 43 104 105 82 83 94 95 41 99 100 46 57 58 54 55 107 108 114 115 81 102 103 86 91 112 113 109 110 101 89 90 106 87 88 111 97 98 119 120 117 118 116:5 5 5 5 5 5 5 5 5 5 5 5,6 4 3 4 3 3 6 4 4 4 6 4 3 6> {(2, 63): 't2', (0, 50): 't1', (1, 114): 'tau1^-1*t3*tau2', (2, 48): 't2^-1', (2, 49): 't2^-1', (1, 119): 't2^-1', (2, 45): 'tau3^-1', (0, 45): 'tau3^-1*t1^-1', (1, 99): 't2^-1', (2, 28): 't3', (2, 29): 't3', (2, 26): 'tau2^-1', (2, 27): 'tau2^-1', (1, 84): 't1*tau3', (2, 18): 't1^-1', (2, 19): 't1^-1', (1, 79): 't3', (0, 115): 't2^-1', (2, 116): 'tau1', (2, 117): 'tau1', (2, 119): 'tau1*t3^-1*tau2^-1', (0, 55): 't2', (2, 109): 't2^-1', (2, 110): 'tau1^-1', (0, 110): 'tau1^-1*t3*tau2', (1, 54): 't1', (0, 100): 't3^-1', (2, 88): 'tau3*t1', (2, 89): 'tau3*t1', (2, 87): 'tau3', (2, 83): 'tau2*t3*tau1^-1', (2, 71): 'tau3^-1', (2, 65): 'tau2^-1'}