U-tiling: UQC4876
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1782 |
*22222 |
(4,6,2) |
{3,4,4,4} |
{6.5.6}{6.6.5.5}{5.5.5.5}{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
|
True
|
|
sqc10079
|
|
P4/mmm |
123 |
tetragonal |
{3,4,3,4} |
24 |
(4,6) |
G
|
False
|
|
sqc10375
|
|
I4122 |
98 |
tetragonal |
{3,4,4,4} |
24 |
(4,7) |
D
|
False
|
|
sqc4190
|
|
P4222 |
93 |
tetragonal |
{3,4,4,4} |
12 |
(4,6) |
Topological data
Vertex degrees | {3,4,4,4} |
2D vertex symbol | {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<65.1:176:23 3 5 7 52 10 33 34 14 16 18 63 21 44 25 27 29 74 32 36 38 40 96 43 67 47 49 51 54 77 89 58 60 62 65 99 69 71 73 76 111 80 82 84 140 87 121 91 93 95 98 122 102 104 106 151 109 132 113 115 117 162 120 124 126 128 173 131 155 135 137 139 142 165 166 146 148 150 153 176 157 159 161 164 168 170 172 175,2 9 48 6 8 11 13 20 59 17 19 22 24 31 70 28 30 33 35 42 92 39 41 44 46 53 50 52 55 57 64 61 63 66 68 75 72 74 77 79 86 136 83 85 88 90 97 94 96 99 101 108 147 105 107 110 112 119 158 116 118 121 123 130 169 127 129 132 134 141 138 140 143 145 152 149 151 154 156 163 160 162 165 167 174 171 173 176,45 4 5 28 29 107 31 32 22 56 15 16 39 40 85 42 43 67 26 27 129 44 89 37 38 118 48 49 72 73 151 75 76 88 59 60 94 95 140 97 98 110 70 71 173 121 133 81 82 116 117 119 120 92 93 162 132 144 103 104 127 128 130 131 155 114 115 166 125 126 136 137 160 161 163 164 154 147 148 171 172 174 175 158 159 176 169 170:6 5 6 5 5 5 6 6 6 5 6 5 5 5 6 6,3 4 4 4 3 4 4 3 3 4 4 4 4 4 4 3 4 3 4 3 3 4 4 4> {(2, 60): 't2*tau3^-1', (2, 61): 't2*tau3^-1', (2, 63): 't2*tau3^-1', (1, 124): 't1', (2, 52): 't3*tau2', (2, 53): 't3*tau2', (2, 54): 't3', (2, 43): 't1', (2, 49): 't3*tau2', (2, 50): 't3*tau2', (2, 173): 'tau2^-1*t3^-1', (0, 40): 't1', (2, 175): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 175): 't1^-1*tau3^-1*t2', (2, 170): 'tau2^-1*t3^-1', (2, 171): 'tau2^-1*t3^-1', (2, 165): 't1^-1', (0, 33): 't1', (2, 160): 't1*tau3*t2^-1', (2, 161): 't1', (2, 162): 't1*tau3*t2^-1', (2, 163): 't1*tau3*t2^-1', (2, 28): 't1^-1', (1, 91): 't1^-1', (2, 159): 't1*tau3*t2^-1', (2, 152): 't3*tau2', (2, 153): 'tau1', (2, 27): 't1^-1', (0, 21): 't1^-1', (2, 8): 't1', (0, 164): 'tau2*t3', (0, 128): 't1', (0, 165): 't1^-1*tau3^-1*t2', (2, 128): 't1', (0, 132): 't3^-1*tau2^-1', (2, 131): 'tau3^-1', (0, 120): 'tau2*t3', (0, 121): 'tau3^-1*t2', (2, 120): 'tau2', (2, 33): 't1', (2, 9): 't1', (0, 110): 'tau2*t3', (0, 109): 't2^-1*tau3', (2, 97): 'tau3*t2^-1', (2, 109): 't2^-1'}