U-tiling: UQC1767
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1332 |
*2244 |
(2,5,4) |
{7,3} |
{4.8.3.4.4.3.8}{3.4.4} |
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
|
|
sqc3194
|
|
P4/mmm |
123 |
tetragonal |
{3,7} |
8 |
(2,5) |
|
G
|
False
|
|
sqc9367
|
|
I41/a |
88 |
tetragonal |
{3,7} |
16 |
(2,6) |
|
D
|
False
|
|
sqc9635
|
|
I41/amd |
141 |
tetragonal |
{3,7} |
16 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 2D vertex symbol | {4.8.3.4.4.3.8}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<99.1:160:11 4 5 16 67 68 29 30 14 15 77 78 39 40 41 24 25 46 87 88 51 34 35 56 107 108 44 45 117 118 139 140 54 55 97 98 159 160 71 64 65 76 99 100 74 75 119 120 111 84 85 116 129 130 101 94 95 106 104 105 149 150 114 115 141 124 125 146 157 158 151 134 135 156 147 148 144 145 154 155,2 63 6 7 9 70 12 73 16 17 19 80 22 83 26 27 29 90 32 103 36 37 39 110 42 113 46 47 49 120 52 93 56 57 59 100 62 66 67 69 72 76 77 79 82 86 87 89 92 96 97 99 102 106 107 109 112 116 117 119 122 153 126 127 129 160 132 143 136 137 139 150 142 146 147 149 152 156 157 159,61 3 5 66 8 10 71 13 15 76 18 20 81 23 25 86 28 30 101 33 35 106 38 40 111 43 45 116 48 50 91 53 55 96 58 60 63 65 68 70 73 75 78 80 83 85 88 90 93 95 98 100 103 105 108 110 113 115 118 120 151 123 125 156 128 130 141 133 135 146 138 140 143 145 148 150 153 155 158 160:4 3 8 4 3 8 4 4 3 4 3 3 3 4 4 4 4 3 4 3,3 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7> {(1, 149): 't2*tau3^-1*t1^-1*tau2*t3', (2, 155): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 95): 't2^-1', (0, 55): 't2^-1', (0, 45): 't3^-1', (0, 150): 'tau1', (0, 140): 'tau1^-1', (0, 100): 't2', (1, 99): 'tau3^-1*t2', (2, 15): 't1^-1', (2, 145): 't2*tau3^-1*t1^-1*tau2*t3', (0, 155): 'tau1', (2, 55): 't2^-1*tau3', (0, 115): 't3^-1', (2, 25): 'tau2^-1*t3^-1', (2, 45): 't3^-1*tau2^-1', (1, 79): 't1', (2, 5): 't1^-1', (1, 39): 'tau3*t2^-1', (0, 145): 'tau1^-1', (1, 159): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 89): 't3*tau2', (0, 50): 't2^-1', (0, 40): 't3^-1', (1, 49): 't3^-1*tau2^-1', (1, 69): 't1', (2, 35): 'tau3*t2^-1', (0, 110): 't3^-1', }