U-tiling: UQC1689
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1282 |
*22222 |
(2,5,4) |
{8,4} |
{4.4.3.3.3.3.4.4}{3.3.3.3} |
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
|
|
sqc8866
|
|
P4/mmm |
123 |
tetragonal |
{7,4} |
12 |
(2,5) |
|
G
|
False
|
|
sqc9448
|
|
I4122 |
98 |
tetragonal |
{8,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc3395
|
|
P4222 |
93 |
tetragonal |
{8,4} |
6 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.4.3.3.3.3.4.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<59.2:160:91 22 23 14 15 8 9 30 71 32 33 18 19 40 111 34 35 28 29 101 38 39 131 62 63 74 75 48 49 70 121 82 83 94 95 58 59 90 151 104 105 68 69 102 103 78 79 110 141 114 115 88 89 112 113 98 99 120 108 109 118 119 142 143 134 135 128 129 150 152 153 138 139 160 154 155 148 149 158 159,2 4 6 10 18 29 12 14 16 20 39 22 24 26 30 38 32 34 36 40 42 44 46 50 78 69 52 54 56 60 98 89 62 64 66 70 108 72 74 76 80 109 82 84 86 90 118 92 94 96 100 119 102 104 106 110 112 114 116 120 122 124 126 130 138 149 132 134 136 140 159 142 144 146 150 158 152 154 156 160,41 3 5 7 9 50 51 13 15 17 19 60 61 23 25 27 29 70 81 33 35 37 39 90 43 45 47 49 53 55 57 59 63 65 67 69 121 73 75 77 79 130 83 85 87 89 131 93 95 97 99 140 141 103 105 107 109 150 151 113 115 117 119 160 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159:4 4 3 3 4 3 3 4 4 3 3 4 4 3 3 3 3 3 3 4 3 3 3 3,8 4 8 8 8 4 4 8 8 8 8 4> {(1, 108): 'tau2*t3', (1, 77): 't3^-1', (1, 37): 't1', (0, 22): 't1^-1', (0, 140): 't1', (0, 34): 't1', (1, 118): 'tau3^-1*t2', (0, 154): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (1, 117): 'tau3^-1', (0, 63): 'tau2^-1', (0, 104): 'tau2', (0, 151): 'tau2^-1*t3^-1', (0, 39): 't1', (0, 159): 't1^-1*tau3^-1*t2', (0, 53): 't2', (0, 20): 't1^-1', (0, 109): 'tau2*t3', (2, 80): 't1^-1', (0, 152): 'tau2^-1*t3^-1', (1, 128): 't3^-1*tau2^-1', (0, 61): 'tau2^-1*t3^-1', (0, 149): 'tau2*t3', (2, 39): 't1', (0, 54): 't2', (1, 38): 't1', (1, 158): 't1^-1*tau3^-1*t2', (0, 113): 'tau3^-1', (0, 51): 't2*tau3^-1', (0, 62): 'tau2^-1*t3^-1', (1, 157): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 133): 'tau1', (0, 114): 'tau3^-1', (2, 110): 't1', (0, 52): 't2*tau3^-1', (0, 141): 't1*tau3*t2^-1', (1, 107): 'tau2', (0, 134): 'tau1', (0, 43): 't3', (0, 119): 'tau3^-1*t2', (0, 142): 't1*tau3*t2^-1', (1, 97): 't2^-1', (0, 21): 't1^-1', (0, 33): 't1', (0, 44): 't3', (0, 153): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 119): 't1', (1, 127): 'tau1^-1', }