U-tiling: UQC2530
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1920 |
*2244 |
(2,5,5) |
{5,8} |
{4.3.3.8.4}{3.3.3.3.3.3.3.3} |
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
|
|
sqc10959
|
|
P42/mmc |
131 |
tetragonal |
{8,5} |
18 |
(2,5) |
|
G
|
False
|
|
sqc10957
|
|
I-42d |
122 |
tetragonal |
{8,5,5} |
18 |
(3,6) |
|
D
|
False
|
|
sqc5397
|
|
P-42m |
111 |
tetragonal |
{5,8} |
9 |
(2,5) |
Topological data
| Vertex degrees | {8,5} |
| 2D vertex symbol | {4.3.3.8.4}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.1:192:3 4 17 18 103 104 81 82 35 36 15 16 115 116 93 94 47 48 27 28 53 54 127 128 45 46 39 40 65 66 139 140 51 52 151 152 69 70 83 84 63 64 163 164 95 96 75 76 89 90 175 176 87 88 187 188 99 100 113 114 177 178 131 132 111 112 189 190 143 144 123 124 149 150 141 142 135 136 161 162 147 148 165 166 179 180 159 160 191 192 171 172 185 186 183 184,13 26 5 12 7 9 11 38 17 24 19 21 23 49 29 36 31 33 35 61 41 48 43 45 47 74 53 60 55 57 59 86 65 72 67 69 71 85 77 84 79 81 83 89 96 91 93 95 109 122 101 108 103 105 107 134 113 120 115 117 119 145 125 132 127 129 131 157 137 144 139 141 143 170 149 156 151 153 155 182 161 168 163 165 167 181 173 180 175 177 179 185 192 187 189 191,2 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 4 8 3 4 3 4 4 3 4 3 4 3 3 4 3 3 8 3 3 3 3 3 3,8 5 5 5 5 5 5 5 5 8 5 5 5 5 5 5 5 5> {(0, 179): 'tau1^-1', (0, 41): 't1*tau2^-1*t3^-1', (0, 95): 't3^-1*tau2^-1*t3^-1', (0, 117): 't1^-1*tau2*t3', (0, 190): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 37): 't1', (1, 73): 't3^-1', (1, 60): 't3*tau2*t1^-1', (0, 59): 't3', (0, 188): 't3^-1*tau2^-1*t1', (0, 191): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 133): 'tau3^-1', (1, 169): 'tau1^-1', (0, 130): 't2^-1', (0, 46): 't1', (1, 85): 't3^-1*tau2^-1*t3^-1', (1, 121): 't2^-1', (0, 20): 't1^-1*tau2*t3', (1, 132): 't1*tau2^-1*t3^-1', (0, 160): 't3*tau2*t1^-1', (0, 131): 't2^-1', (0, 47): 't1', (0, 142): 'tau3^-1', (1, 181): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 178): 'tau1^-1', (0, 40): 't1*tau2^-1*t3^-1', (0, 21): 't1^-1*tau2*t3', (0, 94): 't3^-1*tau2^-1*t3^-1', (0, 161): 't3*tau2*t1^-1', (0, 143): 'tau3^-1', (0, 58): 't3', }