U-tiling: UQC4953
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1816 |
*2244 |
(4,5,2) |
{8,3,8,8} |
{3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4... |
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
|
True
|
|
sqc3363
|
|
P4/mmm |
123 |
tetragonal |
{3,8,6,6} |
8 |
(4,5) |
|
G
|
False
|
|
sqc10119
|
|
I41/a |
88 |
tetragonal |
{8,3,8,8} |
16 |
(4,6) |
|
D
|
False
|
|
sqc10118
|
|
I41/amd |
141 |
tetragonal |
{8,3,8,8} |
16 |
(4,5) |
Topological data
| Vertex degrees | {8,3,8,8} |
| 2D vertex symbol | {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.1:176:67 3 5 7 9 11 78 14 16 18 20 22 89 25 27 29 31 33 111 36 38 40 42 44 122 47 49 51 53 55 100 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 166 135 137 139 141 143 155 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176,2 69 6 11 8 10 13 80 17 22 19 21 24 91 28 33 30 32 35 113 39 44 41 43 46 124 50 55 52 54 57 102 61 66 63 65 68 72 77 74 76 79 83 88 85 87 90 94 99 96 98 101 105 110 107 109 112 116 121 118 120 123 127 132 129 131 134 168 138 143 140 142 145 157 149 154 151 153 156 160 165 162 164 167 171 176 173 175,12 4 5 72 73 30 31 76 77 15 16 83 84 41 42 87 88 45 26 27 94 95 98 99 56 37 38 116 117 120 121 48 49 127 128 151 152 131 132 59 60 105 106 173 174 109 110 78 70 71 107 108 81 82 129 130 122 92 93 140 141 111 103 104 114 115 162 163 125 126 155 136 137 171 172 175 176 166 147 148 160 161 164 165 158 159 169 170:3 4 3 4 3 4 3 4 3 4 3 4 4 4 4 4 4 4 3 4 3 4 4 4,8 3 8 8 3 8 8 8 3 8 3 3 3 8 3 3> {(2, 60): 't2^-1*tau3', (2, 61): 't2^-1*tau3', (2, 55): 't2^-1', (2, 49): 't3^-1*tau2^-1', (2, 50): 't3^-1*tau2^-1', (2, 44): 't3^-1', (2, 170): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 171): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 165): 'tau1', (2, 38): 'tau3*t2^-1', (2, 39): 'tau3*t2^-1', (2, 160): 't2*tau3^-1*t1^-1*tau2*t3', (2, 28): 'tau2^-1*t3^-1', (2, 159): 't2*tau3^-1*t1^-1*tau2*t3', (2, 154): 'tau1^-1', (2, 27): 'tau2^-1*t3^-1', (2, 16): 't1^-1', (2, 17): 't1^-1', (2, 5): 't1^-1', (2, 6): 't1^-1', (2, 121): 't3^-1', (2, 110): 't2'}