U-tiling: UQC5576
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc2220.jpg) |
hqc2220 |
*22222 |
(5,6,2) |
{8,3,4,4,4} |
{3.5.5.3.3.5.5.3}{3.5.5}{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
|
|
sqc11290
|
|
P4/mmm |
123 |
tetragonal |
{8,3,4,4,4} |
24 |
(5,6) |
G
|
False
|
|
sqc11291
|
|
I4122 |
98 |
tetragonal |
{8,3,4,4,4} |
24 |
(5,7) |
D
|
False
|
|
sqc5921
|
|
P4222 |
93 |
tetragonal |
{3,4,4,4,8} |
12 |
(5,6) |
Topological data
Vertex degrees | {8,3,4,4,4} |
2D vertex symbol | {3.5.5.3.3.5.5.3}{3.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222a_FSG_18_4_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.4:208:27 3 5 7 9 11 13 40 16 18 20 22 24 26 29 31 33 35 37 39 42 44 46 48 50 52 79 55 57 59 61 63 65 105 68 70 72 74 76 78 81 83 85 87 89 91 131 94 96 98 100 102 104 107 109 111 113 115 117 144 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156 183 159 161 163 165 167 169 196 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 29 6 13 8 10 12 15 42 19 26 21 23 25 28 32 39 34 36 38 41 45 52 47 49 51 54 81 58 65 60 62 64 67 107 71 78 73 75 77 80 84 91 86 88 90 93 133 97 104 99 101 103 106 110 117 112 114 116 119 146 123 130 125 127 129 132 136 143 138 140 142 145 149 156 151 153 155 158 185 162 169 164 166 168 171 198 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,14 4 5 32 33 60 61 127 128 38 39 17 18 45 46 73 74 101 102 51 52 40 30 31 86 87 153 154 43 44 112 113 140 141 92 56 57 84 85 179 180 90 91 118 69 70 110 111 166 167 116 117 131 82 83 205 206 95 96 136 137 164 165 142 143 144 108 109 192 193 121 122 149 150 177 178 155 156 134 135 190 191 147 148 203 204 170 160 161 188 189 194 195 173 174 201 202 207 208 196 186 187 199 200:3 5 3 5 5 5 3 5 3 5 5 3 5 5 3 5 5 5 3 5 3 5 5 5,8 3 4 4 4 3 4 4 4 4 4 8 3 4 8 3 4 3 4 3 4 8 3 3> {(2, 188): 'tau2*t3', (2, 191): 't1', (2, 187): 'tau2*t3', (2, 180): 't3*tau2', (2, 181): 't3*tau2', (2, 182): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 182): 't1*tau3*t2^-1', (0, 52): 't3*tau2', (2, 44): 't1', (2, 45): 't1', (2, 174): 't2^-1*tau3*t1', (1, 106): 'tau3*t2^-1', (2, 168): 't2*tau3^-1*t1^-1', (2, 169): 'tau1', (2, 37): 't1^-1', (2, 38): 't1^-1', (2, 167): 't2*tau3^-1*t1^-1', (0, 26): 't1^-1', (2, 39): 't1', (2, 152): 't1', (2, 153): 't1', (2, 148): 'tau3^-1*t2', (2, 149): 'tau3^-1*t2', (2, 150): 't1', (2, 151): 't1', (2, 52): 't3', (2, 143): 'tau3^-1', (2, 136): 'tau2*t3', (2, 135): 'tau2*t3', (1, 197): 'tau2^-1*t3^-1', (2, 130): 'tau2', (1, 184): 't1*tau3*t2^-1', (2, 116): 'tau3*t2^-1', (2, 117): 't2^-1', (1, 54): 't3*tau2', (0, 104): 'tau3*t2^-1', (2, 47): 't1', (2, 115): 'tau3*t2^-1', (1, 28): 't1^-1', (2, 90): 'tau2^-1*t3^-1', (2, 46): 't1', (2, 175): 't2^-1*tau3*t1', (2, 63): 't3*tau2', (0, 195): 'tau2^-1*t3^-1', (2, 192): 't1'}