U-tiling: UQC5069
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/hqc1867.jpg) |
hqc1867 |
*22222 |
(4,5,2) |
{4,4,6,4} |
{10.10.10.10}{10.3.3.10}{10.3.3.... |
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
|
True
|
|
sqc10017
|
|
P4/mmm |
123 |
tetragonal |
{3,4,6,4} |
20 |
(4,5) |
G
|
False
|
|
sqc10383
|
|
I4122 |
98 |
tetragonal |
{4,4,6,4} |
20 |
(4,6) |
D
|
False
|
|
sqc4611
|
|
P42/mmc |
131 |
tetragonal |
{4,4,6,4} |
10 |
(4,5) |
Topological data
Vertex degrees | {4,4,6,4} |
2D vertex symbol | {10.10.10.10}{10.3.3.10}{10.3.3.10.3.3}{3.3.3.3} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222a_FSG_9_1_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:176:23 3 5 7 9 11 34 14 16 18 20 22 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 89 58 60 62 64 66 69 71 73 75 77 111 80 82 84 86 88 91 93 95 97 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 155 135 137 139 141 143 166 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176,2 4 16 8 11 10 13 15 19 22 21 24 26 38 30 33 32 35 37 41 44 43 46 48 82 52 55 54 57 59 104 63 66 65 68 70 115 74 77 76 79 81 85 88 87 90 92 126 96 99 98 101 103 107 110 109 112 114 118 121 120 123 125 129 132 131 134 136 148 140 143 142 145 147 151 154 153 156 158 170 162 165 164 167 169 173 176 175,45 101 102 6 7 107 108 32 33 56 79 80 17 18 85 86 43 44 67 123 124 28 29 129 130 89 112 113 39 40 118 119 145 146 50 51 151 152 76 77 134 135 61 62 140 141 98 99 167 168 72 73 173 174 133 83 84 120 121 156 157 94 95 162 163 144 105 106 131 132 155 116 117 166 127 128 138 139 164 165 149 150 175 176 160 161 171 172:10 3 3 3 3 10 3 10 3 3 3 3 3 3 3 10 3 3 3 3,4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 6 4 4 4 6> {(1, 125): 'tau3^-1', (2, 53): 't3*tau2', (2, 54): 't3*tau2', (1, 114): 'tau2', (2, 174): 'tau2^-1*t3^-1', (2, 175): 'tau2^-1*t3^-1', (2, 164): 't1*tau3*t2^-1', (2, 165): 't1^-1', (0, 33): 't1', (2, 32): 't1^-1', (2, 33): 't1', (1, 103): 't2^-1', (2, 163): 't1*tau3*t2^-1', (0, 154): 'tau2*t3', (2, 29): 't1^-1', (2, 30): 't1^-1', (2, 31): 't1^-1', (2, 24): 't1^-1', (1, 81): 't3^-1', (2, 23): 't1^-1', (2, 161): 't1', (2, 162): 't1', (0, 165): 't1^-1*tau3^-1*t2', (2, 156): 't1', (1, 169): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 99): 't2^-1*tau3', (1, 37): 't1', (2, 97): 'tau3*t2^-1', (2, 98): 'tau3*t2^-1', (2, 89): 't1^-1', (1, 147): 'tau1', (0, 77): 't3^-1*tau2^-1'}