U-tiling: UQC974
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc720 |
*2323 |
(2,4,3) |
{4,12} |
{3.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.3} |
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
|
|
sqc10929
|
|
P4232 |
208 |
cubic |
{12,4} |
16 |
(2,4) |
|
G
|
False
|
|
sqc10742
|
|
I213 |
199 |
cubic |
{12,4} |
16 |
(2,5) |
|
D
|
False
|
|
sqc10744
|
|
F-43m |
216 |
cubic |
{12,4} |
16 |
(2,4) |
Topological data
| Vertex degrees | {4,12} |
| 2D vertex symbol | {3.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.1:192:9 4 5 22 23 24 12 13 54 55 56 33 20 21 41 28 29 110 111 112 36 37 70 71 72 44 45 134 135 136 65 52 53 73 60 61 94 95 96 68 69 76 77 174 175 176 129 84 85 166 167 168 137 92 93 145 100 101 182 183 184 161 108 109 169 116 117 142 143 144 177 124 125 158 159 160 132 133 140 141 148 149 190 191 192 185 156 157 164 165 172 173 180 181 188 189,2 8 12 6 15 10 16 14 18 24 36 22 39 26 32 44 30 47 34 40 38 42 48 46 50 56 68 54 71 58 64 76 62 79 66 72 70 74 80 78 82 88 132 86 135 90 96 140 94 143 98 104 148 102 151 106 112 164 110 167 114 120 172 118 175 122 128 180 126 183 130 136 134 138 144 142 146 152 150 154 160 188 158 191 162 168 166 170 176 174 178 184 182 186 192 190,25 3 5 7 64 41 11 13 15 128 97 19 21 23 96 27 29 31 120 145 35 37 39 168 43 45 47 152 169 51 53 55 160 81 59 61 63 113 67 69 71 88 129 75 77 79 184 83 85 87 153 91 93 95 99 101 103 176 177 107 109 111 144 115 117 119 161 123 125 127 131 133 135 192 185 139 141 143 147 149 151 155 157 159 163 165 167 171 173 175 179 181 183 187 189 191:3 4 3 4 3 3 4 3 4 4 3 3 4 3 4 3 4 3 3 4 3 3 3 4 3 4 4 3,12 4 12 12 4 4 4 4 12 4 4 4 4 4 4 4> {(2, 47): 't3', (2, 56): 't1^-1', (0, 45): 'tau2^-1', (2, 128): 't1*tau3', (1, 126): 'tau1', (0, 176): 'tau1^-1', (2, 160): 't3^-1', (2, 143): 'tau3*t1', (0, 191): 'tau1', (2, 152): 't2^-1', (2, 103): 't2', (0, 141): 'tau3', (0, 118): 'tau3^-1', (0, 56): 'tau3', (1, 107): 'tau2^-1', (2, 183): 't2', (0, 134): 'tau2', (1, 123): 'tau1', (0, 190): 'tau1', (1, 59): 'tau3', (1, 110): 'tau2^-1', (0, 160): 'tau2', (2, 191): 'tau1*t3^-1*tau2^-1', (0, 47): 'tau2^-1', (2, 136): 't2', (0, 189): 'tau1', (1, 78): 'tau3^-1', (2, 176): 'tau1^-1*t3*tau2', (2, 31): 't1^-1', (0, 143): 'tau3', }