U-tiling: UQC120
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc118 |
*2323 |
(2,3,2) |
{4,3} |
{6.6.6.6}{6.6.6} |
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
|
|
sqc7351
|
|
P4232 |
208 |
cubic |
{4,3} |
16 |
(2,3) |
|
G
|
False
|
|
sqc7346
|
|
I213 |
199 |
cubic |
{4,3} |
16 |
(2,3) |
|
D
|
False
|
|
sqc7340
|
|
F-43m |
216 |
cubic |
{4,3} |
16 |
(2,3) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {6.6.6.6}{6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:120:16 37 38 5 26 77 78 10 61 57 58 15 72 73 20 91 102 103 25 92 93 30 106 97 98 35 51 40 71 52 53 45 81 112 113 50 55 96 60 107 108 65 111 87 88 70 75 101 80 117 118 85 116 90 95 100 105 110 115 120,2 4 15 7 9 35 12 14 17 19 70 22 24 45 27 29 85 32 34 37 39 60 42 44 47 49 110 52 54 105 57 59 62 64 115 67 69 72 74 90 77 79 100 82 84 87 89 92 94 120 97 99 102 104 107 109 112 114 117 119,6 3 9 10 8 21 13 24 25 26 18 29 30 23 28 41 33 44 45 46 38 49 50 43 48 81 53 84 85 86 58 89 90 91 63 94 95 101 68 104 105 106 73 109 110 111 78 114 115 83 88 93 116 98 119 120 103 108 113 118:6 6 6 6 6 6 6 6 6 6,4 3 4 4 3 4 4 3 4 4 4 3 4 4 4 4> {(0, 62): 't2', (0, 61): 't2', (0, 50): 't1', (2, 48): 'tau3^-1', (0, 55): 't2', (1, 119): 'tau1', (2, 45): 'tau3^-1', (0, 46): 't2^-1', (0, 47): 't2^-1', (0, 45): 'tau3^-1*t1^-1', (2, 39): 'tau3', (0, 26): 't3', (0, 27): 't3', (0, 16): 't1^-1', (0, 17): 't1^-1', (1, 84): 'tau2', (1, 74): 'tau3^-1', (0, 115): 't2^-1', (2, 113): 'tau1^-1', (2, 114): 'tau1^-1', (0, 117): 'tau1*t3^-1*tau2^-1', (2, 110): 'tau1^-1', (0, 110): 'tau1^-1*t3*tau2', (0, 116): 'tau1*t3^-1*tau2^-1', (2, 103): 'tau2', (0, 100): 't3^-1', (0, 86): 'tau3*t1', (0, 87): 'tau3*t1', (2, 104): 'tau2', (2, 65): 'tau2^-1'}