U-tiling: UQC2532
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1921 |
*2244 |
(2,5,5) |
{5,4} |
{4.3.3.8.8}{3.3.3.3} |
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
|
|
sqc11091
|
|
P42/mmc |
131 |
tetragonal |
{4,5} |
20 |
(2,5) |
|
G
|
False
|
|
sqc11115
|
|
I-42d |
122 |
tetragonal |
{4,5,5} |
20 |
(3,6) |
|
D
|
False
|
|
sqc5457
|
|
P-42m |
111 |
tetragonal |
{5,4} |
10 |
(2,5) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {4.3.3.8.8}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.1:192:3 4 101 102 79 80 33 34 23 24 15 16 113 114 91 92 45 46 27 28 125 126 43 44 59 60 39 40 137 138 71 72 51 52 149 150 67 68 81 82 63 64 161 162 93 94 75 76 173 174 95 96 87 88 185 186 99 100 175 176 129 130 119 120 111 112 187 188 141 142 123 124 139 140 155 156 135 136 167 168 147 148 163 164 177 178 159 160 189 190 171 172 191 192 183 184,97 14 5 12 7 9 11 109 17 24 19 21 23 121 50 29 36 31 33 35 133 62 41 48 43 45 47 145 53 60 55 57 59 157 65 72 67 69 71 169 86 77 84 79 81 83 181 89 96 91 93 95 110 101 108 103 105 107 113 120 115 117 119 146 125 132 127 129 131 158 137 144 139 141 143 149 156 151 153 155 161 168 163 165 167 182 173 180 175 177 179 185 192 187 189 191,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160 162 164 166 168 170 172 174 176 178 180 182 184 186 188 190 192:3 3 4 8 8 3 4 3 3 4 3 3 3 4 3 3 3 3 3 8 8 3 3 3,4 5 5 4 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5> {(0, 18): 't1^-1*tau2*t3', (0, 129): 't2^-1', (0, 45): 't1', (0, 140): 'tau3^-1', (1, 157): 't3*tau2*t1^-1', (0, 187): 't3^-1*tau2^-1*t1', (0, 176): 'tau1^-1', (0, 166): 't3*tau2*t1^-1', (0, 19): 't1^-1*tau2*t3', (0, 92): 't3^-1*tau2^-1*t3^-1', (0, 141): 'tau3^-1', (0, 56): 't3', (0, 46): 't1*tau2^-1*t3^-1', (0, 177): 'tau1^-1', (0, 167): 't3*tau2*t1^-1', (0, 93): 't3^-1*tau2^-1*t3^-1', (0, 188): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 57): 't3', (0, 47): 't1*tau2^-1*t3^-1', (0, 189): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 128): 't2^-1', (0, 44): 't1', (1, 61): 't3*tau2*t1^-1', (0, 186): 't3^-1*tau2^-1*t1', }