U-tiling: UQC4582
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1489 |
*22222 |
(4,5,2) |
{4,3,6,4} |
{5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5.... |
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) |
|
G
|
False
|
|
sqc9574
|
|
I4122 |
98 |
tetragonal |
{4,3,6,4} |
20 |
(4,6) |
Topological data
| Vertex degrees | {4,3,6,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5}{5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<56.1:160:21 3 5 7 9 100 31 13 15 17 19 80 23 25 27 29 120 33 35 37 39 110 61 43 45 47 49 140 81 53 55 57 59 130 63 65 67 69 160 101 73 75 77 79 83 85 87 89 150 111 93 95 97 99 103 105 107 109 113 115 117 119 141 123 125 127 129 151 133 135 137 139 143 145 147 149 153 155 157 159,2 4 25 96 8 10 12 14 35 76 18 20 22 24 116 28 30 32 34 106 38 40 42 44 65 136 48 50 52 54 85 126 58 60 62 64 156 68 70 72 74 105 78 80 82 84 146 88 90 92 94 115 98 100 102 104 108 110 112 114 118 120 122 124 145 128 130 132 134 155 138 140 142 144 148 150 152 154 158 160,41 92 93 6 7 18 19 30 51 72 73 16 17 40 61 112 113 26 27 38 39 81 102 103 36 37 132 133 46 47 78 79 70 122 123 56 57 98 99 90 152 153 66 67 108 109 121 76 77 110 142 143 86 87 118 119 131 96 97 120 141 106 107 151 116 117 126 127 138 139 150 136 137 160 146 147 158 159 156 157:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 3 6 4 4 3 4 3 4 3 3 6 4 3 6 4 3 3 6 4> {(2, 57): 't2', (2, 58): 't2', (2, 59): 't2*tau3^-1', (1, 85): 't1^-1', (1, 115): 't1', (1, 114): 'tau3^-1*t2', (2, 48): 't3', (2, 49): 't3*tau2', (1, 104): 'tau2*t3', (2, 47): 't3', (2, 37): 't1', (2, 38): 't1', (1, 124): 't3^-1*tau2^-1', (2, 157): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 30): 't1', (2, 159): 'tau2^-1*t3^-1', (0, 30): 't1', (0, 29): 't1^-1', (2, 148): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 21): 't1^-1', (2, 22): 't1^-1', (0, 150): 't1^-1*tau3^-1*t2', (0, 149): 't1', (2, 141): 't1', (2, 142): 't1', (2, 9): 't1', (2, 138): 'tau1', (2, 129): 't2*tau3^-1*t1^-1', (2, 137): 'tau1', (0, 120): 't3^-1*tau2^-1', (2, 117): 'tau3^-1', (2, 118): 'tau3^-1', (2, 108): 'tau2', (2, 110): 't1', (0, 110): 'tau3^-1*t2', (2, 107): 'tau2', (0, 100): 'tau2*t3', (1, 154): 't1^-1*tau3^-1*t2', (1, 14): 't1^-1'}