U-tiling: UQC4197
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc869 |
*2244 |
(4,3,2) |
{4,3,8,4} |
{4.6.4.6}{4.6.6}{6.6.6.6.6.6.6.6... |
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
|
True
|
|
sqc1065
|
|
P4/mmm |
123 |
tetragonal |
{3,6,4} |
7 |
(3,3) |
|
G
|
False
|
|
sqc7506
|
|
I41/a |
88 |
tetragonal |
{4,3,8,4} |
16 |
(4,4) |
|
D
|
False
|
|
sqc7561
|
|
I41/amd |
141 |
tetragonal |
{4,3,8,4} |
16 |
(4,3) |
Topological data
| Vertex degrees | {4,3,8,4} |
| 2D vertex symbol | {4.6.4.6}{4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.1:128:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,9 50 51 5 7 56 58 59 13 15 64 33 66 67 21 23 72 41 82 83 29 31 88 90 91 37 39 96 74 75 45 47 80 57 53 55 61 63 89 69 71 81 77 79 85 87 93 95 113 122 123 101 103 128 121 114 115 109 111 120 117 119 125 127,3 4 53 54 23 24 11 12 61 62 31 32 19 20 69 70 27 28 85 86 35 36 93 94 111 112 43 44 77 78 127 128 51 52 79 80 59 60 95 96 67 68 103 104 75 76 83 84 119 120 91 92 99 100 125 126 107 108 117 118 115 116 123 124:4 6 6 4 6 4 6 6 6 4 6 6,4 3 8 4 3 8 4 4 3 4 3 3 3 4 3 3> {(2, 60): 't1', (2, 61): 't1', (1, 121): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 120): 'tau1', (2, 52): 't1', (1, 112): 'tau1^-1', (2, 44): 't2^-1*tau3', (2, 45): 't2^-1*tau3', (2, 36): 't3^-1*tau2^-1', (2, 37): 't3^-1*tau2^-1', (2, 28): 'tau3*t2^-1', (2, 29): 'tau3*t2^-1', (2, 20): 'tau2^-1*t3^-1', (2, 21): 'tau2^-1*t3^-1', (1, 73): 'tau3^-1*t2', (1, 72): 't2^-1', (2, 53): 't1', (1, 65): 't3*tau2', (1, 64): 't3', (2, 124): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 125): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 89): 'tau2*t3', (2, 117): 't2*tau3^-1*t1^-1*tau2*t3', (2, 108): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 40): 't2^-1', (1, 32): 't3^-1', (1, 25): 'tau3*t2^-1', (1, 105): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 9): 't1^-1', (1, 1): 't1^-1'}