U-tiling: UQC1938
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1625 |
*22222 |
(2,6,4) |
{8,3} |
{4.4.3.4.4.3.4.4}{3.4.4} |
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) |
|
G
|
False
|
|
sqc10137
|
|
I4122 |
98 |
tetragonal |
{3,8} |
16 |
(2,7) |
|
D
|
False
|
|
sqc14608
|
|
P4222 |
93 |
tetragonal |
{3,8} |
8 |
(2,6) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.3.4.4.3.4.4}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<61.2:176:100 4 5 105 51 52 31 32 22 78 15 16 83 62 63 42 43 122 26 27 127 73 74 44 111 37 38 116 95 96 144 48 49 149 75 76 88 133 59 60 138 97 98 110 166 70 71 171 121 81 82 139 140 119 120 155 92 93 160 132 103 104 150 151 130 131 114 115 161 162 125 126 172 173 136 137 163 164 154 147 148 174 175 158 159 176 169 170,2 47 6 7 9 11 13 58 17 18 20 22 24 69 28 29 31 33 35 91 39 40 42 44 46 50 51 53 55 57 61 62 64 66 68 72 73 75 77 79 135 83 84 86 88 90 94 95 97 99 101 146 105 106 108 110 112 157 116 117 119 121 123 168 127 128 130 132 134 138 139 141 143 145 149 150 152 154 156 160 161 163 165 167 171 172 174 176,45 3 5 28 8 10 33 56 14 16 39 19 21 44 67 25 27 30 32 89 36 38 41 43 47 49 72 52 54 77 58 60 94 63 65 99 69 71 74 76 133 80 82 116 85 87 121 91 93 96 98 144 102 104 127 107 109 132 155 113 115 118 120 166 124 126 129 131 135 137 160 140 142 165 146 148 171 151 153 176 157 159 162 164 168 170 173 175:4 3 4 4 4 3 4 4 3 4 3 4 4 4 4 4 3 4 4 3 4 3 3 4,3 8 3 8 3 3 8 8 3 8 3 8 3 3 8 8> {(2, 33): 't1', (0, 39): 't1', (0, 93): 't1^-1', (0, 120): 'tau2', (0, 41): 't1', (2, 153): 't3*tau2', (2, 142): 't2*tau3^-1*t1^-1', (1, 123): 't1', (0, 43): 't1', (0, 129): 'tau3^-1*t2', (2, 49): 't3*tau2', (0, 173): 't1^-1*tau3^-1*t2', (0, 22): 't1^-1', (2, 5): 't1', (0, 98): 'tau3', (0, 162): 'tau2*t3', (0, 175): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 118): 'tau2*t3', (1, 35): 't1', (2, 98): 'tau3*t2^-1', (0, 154): 't1', (2, 54): 't3*tau2', (2, 32): 't1^-1', (0, 119): 'tau2*t3', (0, 127): 't1', (0, 40): 't1', (0, 109): 't2^-1', (0, 42): 't1', (0, 128): 't1', (0, 54): 't3', (0, 163): 'tau2*t3', (2, 170): 'tau2^-1*t3^-1', (0, 153): 'tau1', (0, 130): 'tau3^-1*t2', (2, 137): 't2*tau3^-1*t1^-1', (2, 165): 't1^-1', (0, 174): 't1^-1*tau3^-1*t2', (0, 27): 't1^-1', (2, 60): 't2*tau3^-1', }