U-tiling: UQC2221
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1733 |
*22222 |
(2,6,4) |
{8,3} |
{4.3.4.4.4.4.3.4}{3.4.4} |
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
|
True
|
|
sqc3400
|
|
Fmmm |
69 |
orthorhombic |
{3,7} |
8 |
(2,6) |
G
|
False
|
|
sqc10265
|
|
Fddd |
70 |
orthorhombic |
{3,8} |
16 |
(2,7) |
D
|
False
|
|
sqc4306
|
|
Cmma |
67 |
orthorhombic |
{8,3} |
8 |
(2,6) |
Topological data
Vertex degrees | {8,3} |
2D vertex symbol | {4.3.4.4.4.4.3.4}{3.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.2:176:89 4 5 94 95 52 108 109 33 111 15 16 116 117 63 130 131 44 133 26 27 138 139 74 152 153 155 37 38 160 161 85 174 175 122 48 49 127 128 119 120 77 100 59 60 105 106 97 98 88 166 70 71 171 172 163 164 144 81 82 149 150 141 142 92 93 129 143 103 104 118 154 114 115 165 125 126 176 136 137 173 147 148 162 158 159 169 170,2 102 6 9 8 11 13 124 17 20 19 22 24 146 28 31 30 33 35 168 39 42 41 44 46 113 50 53 52 55 57 91 61 64 63 66 68 157 72 75 74 77 79 135 83 86 85 88 90 94 97 96 99 101 105 108 107 110 112 116 119 118 121 123 127 130 129 132 134 138 141 140 143 145 149 152 151 154 156 160 163 162 165 167 171 174 173 176,100 3 5 7 19 10 22 122 14 16 18 21 144 25 27 29 41 32 44 166 36 38 40 43 111 47 49 51 63 54 66 89 58 60 62 65 155 69 71 73 85 76 88 133 80 82 84 87 91 93 95 118 98 121 102 104 106 129 109 132 113 115 117 120 124 126 128 131 135 137 139 162 142 165 146 148 150 173 153 176 157 159 161 164 168 170 172 175:4 3 4 4 4 3 4 4 4 3 4 4 3 4 4 3 4 4 3 4 4 3 4 3,3 8 3 3 8 3 3 8 3 3 8 3 8 8 8 8> {(0, 29): 't1^-1', (2, 175): 't2*tau1*t3^-1', (2, 142): 't3^-1*tau1*t2', (2, 109): 'tau1^-1', (0, 129): 't2^-1', (0, 170): 'tau3', (0, 154): 'tau3^-1', (0, 137): 'tau2', (0, 63): 't3^-1', (2, 172): 't2*tau1*t3^-1', (2, 139): 't3^-1*tau1*t2', (2, 106): 'tau1^-1', (0, 8): 't3', (2, 55): 't3^-1', (0, 159): 'tau3^-1', (1, 112): 't2', (0, 130): 't2^-1', (0, 171): 'tau3', (0, 138): 'tau2', (0, 164): 't2^-1', (0, 40): 't1^-1', (0, 149): 'tau2^-1', (0, 161): 'tau3^-1*t1^-1*tau2', (0, 172): 'tau3*t1*tau2^-1', (0, 143): 'tau2^-1', (1, 57): 't3^-1', (1, 123): 't2^-1', (1, 2): 't3', (0, 9): 't3', (0, 52): 't2^-1', (0, 97): 't3', (2, 44): 't2^-1', (2, 11): 't2', (0, 53): 't2^-1', (2, 0): 't3', (2, 117): 'tau1^-1', (2, 120): 'tau1^-1', (0, 148): 'tau2^-1', (0, 160): 'tau3^-1', (0, 175): 't2', (0, 142): 't3^-1', (0, 153): 't3', (0, 165): 'tau3', (0, 132): 'tau2', }