U-tiling: UQC4664
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1504 |
*2244 |
(4,5,2) |
{8,4,3,4} |
{6.6.6.6.6.6.6.6}{6.4.4.6}{6.6.4... |
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
|
False
|
|
sqc9438
|
|
P4/nmm |
129 |
tetragonal |
{8,4,3,4} |
20 |
(4,5) |
|
G
|
False
|
|
sqc9404
|
|
I41/a |
88 |
tetragonal |
{8,4,3,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc9408
|
|
I41/amd |
141 |
tetragonal |
{8,4,3,4} |
20 |
(4,5) |
Topological data
| Vertex degrees | {8,4,3,4} |
| 2D vertex symbol | {6.6.6.6.6.6.6.6}{6.4.4.6}{6.6.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<105.1:160:11 3 5 7 9 20 13 15 17 19 41 23 25 27 29 50 51 33 35 37 39 60 43 45 47 49 53 55 57 59 71 63 65 67 69 80 73 75 77 79 111 83 85 87 89 120 101 93 95 97 99 110 103 105 107 109 113 115 117 119 141 123 125 127 129 150 151 133 135 137 139 160 143 145 147 149 153 155 157 159,2 4 10 8 67 69 12 14 20 18 77 79 22 24 30 28 87 89 32 34 40 38 107 109 42 44 50 48 117 119 52 54 60 58 97 99 62 64 70 68 72 74 80 78 82 84 90 88 92 94 100 98 102 104 110 108 112 114 120 118 122 124 130 128 157 159 132 134 140 138 147 149 142 144 150 148 152 154 160 158,61 22 23 6 7 28 29 70 71 32 33 16 17 38 39 80 81 26 27 90 101 36 37 110 111 132 133 46 47 138 139 120 91 152 153 56 57 158 159 100 92 93 66 67 98 99 112 113 76 77 118 119 122 123 86 87 128 129 96 97 142 143 106 107 148 149 116 117 151 126 127 160 141 136 137 150 146 147 156 157:6 4 4 6 4 6 4 4 4 6 6 6 6 4 6 4,8 4 3 4 8 4 3 4 3 3 4 3 4 3 4 4 4 4 3 3> {(2, 60): 't1', (0, 59): 't2^-1', (2, 30): 'tau3*t2^-1', (2, 10): 't1^-1', (0, 159): 'tau1', (0, 50): 't2^-1', (2, 150): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 49): 't3^-1', (0, 150): 'tau1', (0, 119): 't3^-1', (2, 50): 't2^-1*tau3', (0, 149): 'tau1^-1', (2, 140): 't2*tau3^-1*t1^-1*tau2*t3', (2, 20): 'tau2^-1*t3^-1', (0, 40): 't3^-1', (2, 40): 't3^-1*tau2^-1', (0, 140): 'tau1^-1', (0, 109): 't2', (0, 110): 't3^-1', (0, 100): 't2'}