U-tiling: UQC5398
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2052 |
*22222 |
(5,5,2) |
{3,6,4,4,4} |
{4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5.... |
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
|
|
sqc5574
|
|
Fmmm |
69 |
orthorhombic |
{3,4,6,4,4} |
12 |
(5,5) |
G
|
False
|
|
sqc11077
|
|
Fddd |
70 |
orthorhombic |
{3,6,4,4,4} |
24 |
(5,6) |
D
|
False
|
|
sqc5436
|
|
Cmma |
67 |
orthorhombic |
{4,3,4,6,4} |
12 |
(5,5) |
Topological data
Vertex degrees | {3,6,4,4,4} |
2D vertex symbol | {4.5.5}{4.5.5.4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:192:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192,25 110 5 12 7 9 11 37 134 17 24 19 21 23 158 29 36 31 33 35 182 41 48 43 45 47 73 122 53 60 55 57 59 85 98 65 72 67 69 71 170 77 84 79 81 83 146 89 96 91 93 95 145 101 108 103 105 107 157 113 120 115 117 119 169 125 132 127 129 131 181 137 144 139 141 143 149 156 151 153 155 161 168 163 165 167 173 180 175 177 179 185 192 187 189 191,3 4 29 30 19 20 57 58 107 108 15 16 41 42 69 70 131 132 27 28 43 44 81 82 155 156 39 40 93 94 179 180 51 52 77 78 67 68 143 144 63 64 89 90 119 120 75 76 91 92 191 192 87 88 167 168 99 100 149 150 127 128 141 142 111 112 161 162 139 140 129 130 123 124 173 174 135 136 185 186 147 148 175 176 189 190 159 160 187 188 177 178 171 172 183 184:4 5 4 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5,3 6 4 4 4 3 6 4 6 4 4 6 4 3 4 3 3 4 4 3 4 3 3 4> {(2, 188): 'tau3*t1*tau2^-1', (1, 120): 't2', (2, 190): 'tau3', (2, 191): 'tau3', (2, 184): 't2', (2, 185): 't2', (2, 186): 't2*tau1*t3^-1', (2, 189): 'tau3*t1*tau2^-1', (2, 176): 'tau3^-1*t1^-1*tau2', (2, 177): 'tau3^-1*t1^-1*tau2', (2, 178): 'tau3^-1', (2, 179): 'tau3^-1', (2, 44): 't1^-1', (2, 45): 't1^-1', (1, 109): 't3^-1', (1, 108): 't3^-1', (1, 96): 't3', (2, 166): 'tau2^-1', (2, 167): 'tau2^-1', (2, 32): 't1^-1', (2, 33): 't1^-1', (2, 35): 'tau2^-1', (2, 154): 'tau2', (2, 148): 't3^-1', (2, 160): 't3', (2, 150): 't3^-1*tau1*t2', (2, 151): 't3^-1*tau1*t2', (2, 161): 't3', (2, 138): 'tau1', (2, 139): 'tau1', (2, 163): 't3*tau1^-1*t2^-1', (2, 124): 't2', (2, 125): 't2', (2, 126): 'tau1^-1', (2, 127): 'tau1^-1', (1, 61): 't3^-1', (1, 180): 't2', (2, 101): 't3', (1, 121): 't2', (1, 13): 't2'}