U-tiling: UQC5575
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
|
|
sqc5986
|
|
Fmmm |
69 |
orthorhombic |
{3,4,4,4,8} |
12 |
(5,6) |
G
|
False
|
|
sqc11455
|
|
Fddd |
70 |
orthorhombic |
{8,3,4,4,4} |
24 |
(5,7) |
D
|
False
|
|
sqc5987
|
|
Cmma |
67 |
orthorhombic |
{8,4,3,4,4} |
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/s22222b_FSG_18_1_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.1:208:27 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 92 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104 157 107 109 111 113 115 117 170 120 122 124 126 128 130 183 133 135 137 139 141 143 196 146 148 150 152 154 156 159 161 163 165 167 169 172 174 176 178 180 182 185 187 189 191 193 195 198 200 202 204 206 208,2 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 94 71 78 73 75 77 80 84 91 86 88 90 93 97 104 99 101 103 106 159 110 117 112 114 116 119 172 123 130 125 127 129 132 185 136 143 138 140 142 145 198 149 156 151 153 155 158 162 169 164 166 168 171 175 182 177 179 181 184 188 195 190 192 194 197 201 208 203 205 207,118 4 5 110 111 60 61 23 24 38 39 144 17 18 136 137 73 74 51 52 170 30 31 162 163 86 87 49 50 196 43 44 188 189 99 100 131 56 57 149 150 75 76 90 91 105 69 70 123 124 103 104 183 82 83 201 202 101 102 157 95 96 175 176 108 109 151 152 140 141 168 169 121 122 138 139 153 154 181 182 134 135 194 195 147 148 207 208 160 161 203 204 192 193 173 174 190 191 205 206 186 187 199 200:3 5 3 5 5 5 3 5 3 5 5 5 3 5 3 5 3 5 3 5 5 5 5 5,8 3 4 4 4 8 3 4 8 4 4 8 4 3 4 3 3 4 4 3 4 3 3 4> {(2, 188): 'tau3^-1', (2, 189): 'tau3^-1*t1^-1*tau2', (2, 190): 'tau3^-1*t1^-1*tau2', (2, 191): 't2^-1*tau1^-1*t3', (2, 187): 'tau3^-1', (2, 180): 't3', (2, 181): 't3', (0, 182): 't2^-1', (1, 119): 't3^-1', (2, 179): 't3*tau1^-1*t2^-1', (2, 174): 'tau2^-1', (1, 106): 't3', (2, 168): 't3^-1', (2, 164): 'tau2*t1^-1*tau3^-1', (2, 166): 't3^-1*tau1*t2', (2, 167): 't3^-1', (2, 161): 'tau2', (2, 162): 'tau2', (2, 163): 'tau2*t1^-1*tau3^-1', (2, 152): 'tau1', (2, 153): 'tau1', (2, 154): 't2^-1', (2, 155): 't2^-1', (2, 33): 't1^-1', (2, 140): 'tau1^-1', (2, 141): 't2', (2, 142): 't2', (2, 143): 't2^-1', (2, 34): 't1^-1', (2, 139): 'tau1^-1', (2, 0): 't3', (2, 130): 't2', (0, 143): 't2^-1', (1, 184): 't2^-1', (0, 117): 't3^-1', (0, 104): 't3', (2, 47): 't1^-1', (2, 178): 't3*tau1^-1*t2^-1', (1, 197): 't2', (2, 46): 't1^-1', (2, 175): 'tau2^-1', (2, 200): 'tau3', (2, 201): 'tau3', (2, 104): 't3'}