U-tiling: UQC72
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc8 |
*245 |
(1,1,1) |
{4} |
{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
|
|
sqc3865
|
|
I4/mmm |
139 |
tetragonal |
{4,4,4} |
10 |
(3,3) |
|
G
|
False
|
|
sqc9880
|
|
I41/acd |
142 |
tetragonal |
{4,4,4} |
20 |
(3,3) |
|
D
|
False
|
|
sqc3864
|
|
P42/nnm |
134 |
tetragonal |
{4,4,4} |
10 |
(3,3) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.2:160:21 3 5 26 8 10 31 13 15 41 18 20 23 25 28 30 33 35 116 38 40 43 45 136 48 50 146 53 55 81 58 60 156 63 65 96 68 70 106 73 75 111 78 80 83 85 126 88 90 131 93 95 98 100 141 103 105 108 110 113 115 118 120 151 123 125 128 130 133 135 138 140 143 145 148 150 153 155 158 160,2 4 25 7 9 30 12 14 35 17 19 45 22 24 27 29 32 34 37 39 120 42 44 47 49 140 52 54 150 57 59 85 62 64 160 67 69 100 72 74 110 77 79 115 82 84 87 89 130 92 94 135 97 99 102 104 145 107 109 112 114 117 119 122 124 155 127 129 132 134 137 139 142 144 147 149 152 154 157 159,11 7 8 59 60 16 69 70 17 18 74 75 89 90 31 37 38 79 80 41 47 48 94 95 52 53 104 105 51 99 100 62 63 124 125 61 84 85 129 130 71 67 68 109 110 86 87 88 101 97 98 106 92 93 121 126 127 128 122 123 141 132 133 139 140 146 137 138 134 135 151 156 152 153 159 160 157 158 154 155:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2', (2, 63): 'tau3', (1, 124): 't2^-1', (0, 60): 't2', (2, 53): 'tau2^-1', (2, 54): 'tau2^-1', (2, 50): 't3', (2, 44): 'tau3', (2, 46): 't2^-1', (2, 47): 't2^-1', (2, 43): 'tau3', (2, 36): 't3^-1', (2, 37): 't3^-1', (2, 147): 't3*tau1^-1', (2, 33): 'tau2^-1', (2, 34): 'tau2^-1', (2, 156): 'tau1*t3^-1', (2, 158): 't2^-1*tau3*t1*tau2^-1', (2, 159): 't2^-1*tau3*t1*tau2^-1', (2, 152): 'tau1^-1*t3', (2, 153): 't2*tau3^-1*t1^-1*tau2', (2, 154): 't2*tau3^-1*t1^-1*tau2', (2, 151): 'tau1^-1*t3', (2, 145): 't3', (2, 18): 't1^-1', (2, 19): 't1^-1', (2, 140): 't3^-1', (2, 13): 't1^-1', (2, 14): 't1^-1', (2, 136): 'tau1', (2, 137): 'tau1', (2, 132): 'tau1^-1', (1, 64): 't2', (0, 120): 't2^-1', (2, 120): 't2^-1', (2, 109): 'tau3^-1', (2, 111): 'tau1', (2, 96): 't3^-1', (2, 97): 't3^-1', (2, 91): 't2', (2, 82): 't2^-1', (2, 75): 't3'}