U-tiling: UQC4201
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc28 |
*334 |
(2,1,1) |
{3,4} |
{6.6.6}{6.6.6.6} |
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
|
|
sqc11239
|
|
P4232 |
208 |
cubic |
{4,3,4,3} |
28 |
(4,3) |
|
G
|
False
|
|
sqc11238
|
|
I213 |
199 |
cubic |
{4,3,4,3} |
28 |
(4,4) |
|
D
|
False
|
|
sqc11237
|
|
F-43m |
216 |
cubic |
{4,3,4,3} |
28 |
(4,3) |
Topological data
| Vertex degrees | {4,3,4,3} |
| 2D vertex symbol | {6.6.6.6}{6.6.6}{6.6.6.6}{6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.1:192:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,9 18 27 5 7 32 50 43 13 15 48 33 99 21 23 104 41 106 29 31 66 147 37 39 152 130 45 47 65 171 53 55 176 73 90 83 61 63 88 115 69 71 120 170 131 77 79 136 129 162 85 87 137 155 93 95 160 145 178 101 103 161 179 109 111 184 169 138 117 119 177 154 163 125 127 168 133 135 187 141 143 192 186 149 151 185 157 159 165 167 173 175 181 183 189 191,3 4 21 22 63 64 11 12 53 54 127 128 19 20 95 96 27 28 109 110 119 120 35 36 69 70 167 168 43 44 133 134 151 152 51 52 159 160 59 60 93 94 67 68 87 88 75 76 173 174 183 184 83 84 165 166 91 92 99 100 181 182 175 176 107 108 143 144 115 116 141 142 123 124 157 158 131 132 191 192 139 140 147 148 189 190 155 156 163 164 171 172 179 180 187 188:6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6,4 3 4 3 3 4 3 4 3 3 4 3 4 3 4 4 4 3 3 4 3 3 4 3 4 3 3 3> {(2, 188): 'tau1', (1, 120): 'tau1', (2, 190): 'tau1*t3^-1*tau2^-1', (1, 122): 't3', (1, 127): 't3', (2, 189): 'tau1', (1, 113): 'tau3^-1', (2, 182): 't2', (2, 183): 't2', (2, 44): 'tau2^-1', (1, 104): 'tau2^-1', (2, 46): 't3', (2, 175): 't2^-1', (1, 111): 'tau2^-1*t3^-1*tau1', (1, 82): 't1', (2, 30): 't1^-1', (2, 31): 't1^-1', (1, 95): 't2', (1, 72): 'tau3^-1', (2, 151): 't3^-1', (1, 87): 't1', (2, 140): 'tau3', (2, 141): 'tau3', (2, 142): 'tau3*t1', (1, 74): 'tau3^-1*t1^-1', (1, 79): 'tau3^-1*t1^-1', (2, 133): 'tau2', (2, 135): 'tau2*t3*tau1^-1', (1, 185): 'tau1', (1, 186): 't2^-1', (1, 191): 't2^-1', (1, 41): 'tau2^-1', (1, 90): 't2', (2, 111): 't1^-1*tau3^-1', (2, 102): 't2', (1, 106): 'tau2^-1*t3^-1*tau1'}