U-tiling: UQC4536
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1479 |
*22222 |
(4,5,2) |
{3,3,4,4} |
{6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7} |
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
|
|
sqc9593
|
|
I4122 |
98 |
tetragonal |
{3,3,4,4} |
24 |
(4,6) |
|
D
|
False
|
|
sqc14601
|
|
P4222 |
93 |
tetragonal |
{3,4,3,4} |
12 |
(4,5) |
Topological data
| Vertex degrees | {3,3,4,4} |
| 2D vertex symbol | {6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.2:160:41 3 5 7 9 100 51 13 15 17 19 80 61 23 25 27 29 120 81 33 35 37 39 110 43 45 47 49 140 53 55 57 59 130 63 65 67 69 160 121 73 75 77 79 83 85 87 89 150 131 93 95 97 99 141 103 105 107 109 151 113 115 117 119 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159,2 23 94 6 8 10 12 33 74 16 18 20 22 114 26 28 30 32 104 36 38 40 42 63 134 46 48 50 52 83 124 56 58 60 62 154 66 68 70 72 103 76 78 80 82 144 86 88 90 92 113 96 98 100 102 106 108 110 112 116 118 120 122 143 126 128 130 132 153 136 138 140 142 146 148 150 152 156 158 160,91 4 5 26 27 18 19 30 71 14 15 36 37 40 111 24 25 38 39 101 34 35 131 44 45 66 67 78 79 70 121 54 55 86 87 98 99 90 151 64 65 108 109 74 75 106 107 110 141 84 85 118 119 94 95 116 117 120 104 105 114 115 124 125 146 147 138 139 150 134 135 156 157 160 144 145 158 159 154 155:6 7 6 7 7 7 7 7 7 6 7 6,3 3 4 4 3 3 3 3 3 3 4 4 3 3 4 4 3 3 3 3 3 4 4 3> {(1, 122): 't3^-1*tau2^-1', (2, 57): 't2', (2, 58): 't2', (2, 59): 't2*tau3^-1', (1, 113): 't1', (1, 112): 'tau3^-1*t2', (2, 48): 't3', (2, 49): 't3*tau2', (2, 47): 't3', (2, 36): 't1', (2, 37): 't1', (2, 38): 't1', (1, 102): 'tau2*t3', (2, 157): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 158): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 159): 'tau2^-1*t3^-1', (0, 30): 't1', (2, 155): 't1^-1*tau3^-1*t2', (2, 20): 't1^-1', (1, 83): 't1^-1', (2, 145): 'tau2*t3', (2, 146): 'tau2*t3', (2, 140): 't1', (2, 15): 't1^-1', (2, 136): 't2^-1*tau3*t1', (2, 9): 't1', (2, 138): 'tau1', (2, 129): 't2*tau3^-1*t1^-1', (2, 137): 'tau1', (2, 116): 'tau3^-1*t2', (2, 117): 'tau3^-1', (2, 118): 'tau3^-1', (2, 115): 'tau3^-1*t2', (2, 108): 'tau2', (0, 110): 't1', (2, 106): 'tau2*t3', (2, 107): 'tau2', (1, 32): 't1', (1, 152): 't1^-1*tau3^-1*t2', (0, 89): 't1^-1', (0, 29): 't1^-1', (2, 75): 't3^-1*tau2^-1'}