U-tiling: UQC1917
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1407 |
*2244 |
(2,5,4) |
{5,5} |
{8.4.3.4.8}{4.4.4.3.3} |
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
|
|
sqc9792
|
|
P4/nmm |
129 |
tetragonal |
{5,5} |
16 |
(2,5) |
|
G
|
False
|
|
sqc9801
|
|
I41/a |
88 |
tetragonal |
{5,5} |
16 |
(2,6) |
|
D
|
False
|
|
sqc9802
|
|
I41/amd |
141 |
tetragonal |
{5,5} |
16 |
(2,5) |
Topological data
| Vertex degrees | {5,5} |
| 2D vertex symbol | {8.4.3.4.8}{4.4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<102.1:160:11 4 5 26 27 68 29 30 14 15 36 37 78 39 40 41 24 25 88 51 34 35 108 44 45 136 137 118 139 140 54 55 156 157 98 159 160 71 64 65 96 97 99 100 74 75 116 117 119 120 111 84 85 126 127 129 130 101 94 95 104 105 146 147 149 150 114 115 141 124 125 158 151 134 135 148 144 145 154 155,2 9 14 6 8 70 12 19 16 18 80 22 29 44 26 28 90 32 39 54 36 38 110 42 49 46 48 120 52 59 56 58 100 62 69 74 66 68 72 79 76 78 82 89 114 86 88 92 99 104 96 98 102 109 106 108 112 119 116 118 122 129 144 126 128 160 132 139 154 136 138 150 142 149 146 148 152 159 156 158,61 3 5 7 18 10 71 13 15 17 20 81 23 25 27 48 30 101 33 35 37 58 40 111 43 45 47 50 91 53 55 57 60 63 65 67 78 70 73 75 77 80 83 85 87 118 90 93 95 97 108 100 103 105 107 110 113 115 117 120 151 123 125 127 148 130 141 133 135 137 158 140 143 145 147 150 153 155 157 160:3 4 8 4 4 8 4 3 3 4 4 3 4 4 3 4 3 4 3 3,5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5> {(2, 47): 't3^-1', (1, 123): 'tau1', (0, 140): 'tau1^-1', (1, 103): 't2', (0, 100): 't2', (0, 147): 't2*tau3^-1*t1^-1*tau2*t3', (1, 153): 'tau1', (2, 57): 't2^-1', (1, 113): 't3^-1', (0, 130): 'tau1^-1', (2, 157): 'tau1', (2, 117): 't3^-1', (0, 27): 'tau2^-1*t3^-1', (2, 107): 't2', (0, 57): 't2^-1*tau3', (0, 47): 't3^-1*tau2^-1', (0, 17): 't1^-1', (0, 7): 't1^-1', (1, 53): 't2^-1', (0, 110): 't3^-1', (0, 50): 't2^-1', (0, 127): 't3*tau2*t1^-1*tau3^-1*t2', (0, 40): 't3^-1', (2, 147): 'tau1^-1', (0, 37): 'tau3*t2^-1', (1, 43): 't3^-1', }