U-tiling: UQC3784
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc831 |
*2244 |
(3,4,2) |
{8,3,3} |
{6.6.6.6.6.6.6.6}{6.8.6}{6.6.8} |
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
|
|
sqc7556
|
|
P4/nmm |
129 |
tetragonal |
{8,3,3} |
18 |
(3,4) |
|
G
|
False
|
|
sqc7494
|
|
I41/a |
88 |
tetragonal |
{8,3,3} |
18 |
(3,5) |
|
D
|
False
|
|
sqc7496
|
|
I41/amd |
141 |
tetragonal |
{8,3,3} |
18 |
(3,4) |
Topological data
| Vertex degrees | {8,3,3} |
| 2D vertex symbol | {6.6.6.6.6.6.6.6}{6.8.6}{6.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<61.1:128:9 3 5 7 16 11 13 15 33 19 21 23 40 41 27 29 31 48 35 37 39 43 45 47 57 51 53 55 64 59 61 63 89 67 69 71 96 81 75 77 79 88 83 85 87 91 93 95 113 99 101 103 120 121 107 109 111 128 115 117 119 123 125 127,2 4 8 22 55 10 12 16 30 63 18 20 24 71 26 28 32 87 34 36 40 110 95 42 44 48 126 79 50 52 56 78 58 60 64 94 66 68 72 102 74 76 80 82 84 88 118 90 92 96 98 100 104 127 106 108 112 119 114 116 120 122 124 128,49 18 19 6 7 56 57 26 27 14 15 64 65 22 23 72 81 30 31 88 89 106 107 38 39 96 73 122 123 46 47 80 74 75 54 55 90 91 62 63 98 99 70 71 78 79 114 115 86 87 94 95 121 102 103 128 113 110 111 120 118 119 126 127:6 8 8 6 6 6 6 6 6 6,8 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3> {(0, 88): 't3^-1', (0, 120): 'tau1', (2, 56): 't1', (0, 127): 'tau1', (2, 16): 'tau2^-1*t3^-1', (0, 112): 'tau1^-1', (2, 48): 't1', (2, 112): 't2*tau3^-1*t1^-1*tau2*t3', (0, 119): 'tau1^-1', (0, 80): 't2', (0, 40): 't2^-1', (0, 87): 't2', (2, 40): 't2^-1*tau3', (0, 47): 't2^-1', (2, 120): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 24): 'tau3*t2^-1', (0, 32): 't3^-1', (2, 32): 't3^-1*tau2^-1', (0, 39): 't3^-1', (0, 95): 't3^-1'}