U-tiling: UQC4907
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1787 |
*22222 |
(4,6,2) |
{4,4,4,3} |
{7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4} |
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
|
|
sqc4652
|
|
Fmmm |
69 |
orthorhombic |
{3,4,4,4} |
12 |
(4,6) |
|
G
|
False
|
|
sqc10624
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,3} |
24 |
(4,7) |
|
D
|
False
|
|
sqc629
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3,4} |
6 |
(4,6) |
Topological data
| Vertex degrees | {4,4,4,3} |
| 2D vertex symbol | {7.7.7.7}{7.7.7.7}{7.4.4.7}{7.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.3:176:89 3 5 7 9 109 110 111 14 16 18 20 131 132 133 25 27 29 31 153 154 155 36 38 40 42 175 176 122 47 49 51 53 120 121 100 58 60 62 64 98 99 166 69 71 73 75 164 165 144 80 82 84 86 142 143 91 93 95 97 102 104 106 108 113 115 117 119 124 126 128 130 135 137 139 141 146 148 150 152 157 159 161 163 168 170 172 174,2 4 6 95 10 11 13 15 17 117 21 22 24 26 28 139 32 33 35 37 39 161 43 44 46 48 50 128 54 55 57 59 61 106 65 66 68 70 72 172 76 77 79 81 83 150 87 88 90 92 94 98 99 101 103 105 109 110 112 114 116 120 121 123 125 127 131 132 134 136 138 142 143 145 147 149 153 154 156 158 160 164 165 167 169 171 175 176,45 13 14 26 27 8 9 32 99 56 37 38 19 20 43 121 67 35 36 30 31 143 78 41 42 165 57 58 70 71 52 53 76 132 81 82 63 64 87 110 79 80 74 75 176 85 86 154 122 112 113 136 137 96 97 142 111 123 124 147 148 107 108 153 158 159 118 119 164 169 170 129 130 175 166 156 157 140 141 155 167 168 151 152 162 163 173 174:7 4 7 4 7 4 7 4 7 4 7 4 7 4 7 4,4 4 4 3 4 3 4 3 3 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4> {(0, 54): 't2^-1', (0, 53): 't2^-1', (2, 174): 't2', (2, 175): 'tau3', (2, 168): 't2', (2, 169): 't2', (2, 164): 'tau3^-1', (2, 165): 'tau3*t1*tau2^-1', (2, 166): 't2*tau1*t3^-1', (2, 167): 't2*tau1*t3^-1', (2, 33): 't1^-1', (2, 163): 't2^-1', (2, 156): 't2^-1*tau1^-1*t3', (2, 157): 't2^-1', (2, 158): 't2^-1', (2, 152): 't3', (2, 153): 'tau2^-1', (2, 154): 'tau3^-1*t1^-1*tau2', (2, 155): 't2^-1*tau1^-1*t3', (1, 83): 'tau2', (0, 22): 'tau2^-1', (0, 20): 't2', (2, 147): 't3', (0, 10): 't3', (1, 72): 'tau3^-1', (2, 142): 'tau2', (2, 136): 't3^-1', (0, 131): 't2^-1', (2, 135): 't3^-1', (0, 154): 'tau3^-1', (2, 122): 'tau1', (2, 123): 'tau1', (2, 112): 'tau1^-1', (2, 111): 'tau1^-1', (0, 108): 't3^-1', (0, 98): 't3', (2, 102): 't3^-1', (0, 97): 't3', (2, 97): 't3', (1, 39): 'tau3', (1, 28): 'tau2^-1', (0, 77): 'tau2', (0, 66): 'tau3^-1', (2, 22): 't1^-1'}