U-tiling: UQC1715
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc116 |
*2224 |
(2,3,2) |
{4,4} |
{4.6.6.4}{6.6.6.6} |
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
|
|
sqc9843
|
|
P4/mmm |
123 |
tetragonal |
{4,4} |
20 |
(2,4) |
|
G
|
False
|
|
sqc9844
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
20 |
(3,5) |
|
D
|
False
|
|
sqc3834
|
|
P4222 |
93 |
tetragonal |
{4,4} |
10 |
(2,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.6.6.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:160:3 4 15 16 27 28 99 100 13 14 37 38 79 80 23 24 35 36 119 120 33 34 109 110 43 44 75 76 67 68 139 140 53 54 95 96 87 88 129 130 63 64 105 106 159 160 73 74 107 108 83 84 115 116 149 150 93 94 117 118 103 104 113 114 123 124 135 136 147 148 133 134 157 158 143 144 155 156 153 154,21 42 5 10 7 9 31 52 15 20 17 19 62 25 30 27 29 82 35 40 37 39 61 45 50 47 49 81 55 60 57 59 65 70 67 69 101 122 75 80 77 79 85 90 87 89 111 132 95 100 97 99 142 105 110 107 109 152 115 120 117 119 141 125 130 127 129 151 135 140 137 139 145 150 147 149 155 160 157 159,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:6 6 4 4 6 4 6 6 6 4 4 6 4 4 6 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 29): 't1^-1', (0, 6): 't1', (0, 115): 'tau3^-1', (0, 124): 'tau1^-1', (0, 105): 'tau2', (0, 146): 't1*tau3*t2^-1', (0, 136): 't3*tau2', (1, 110): 'tau3^-1*t2', (0, 148): 't1', (0, 55): 't2', (1, 30): 't1', (0, 45): 't3', (0, 57): 't2*tau3^-1', (0, 34): 't1', (0, 47): 't3*tau2', (1, 150): 't1^-1*tau3^-1*t2', (0, 154): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 7): 't1', (1, 120): 't3^-1*tau2^-1', (0, 125): 'tau1^-1', (0, 147): 't1*tau3*t2^-1', (0, 28): 't1^-1', (0, 137): 't3*tau2', (0, 114): 'tau3^-1', (0, 104): 'tau2', (0, 149): 't1', (1, 100): 'tau2*t3', (1, 111): 't1', (0, 54): 't2', (0, 35): 't1', (0, 44): 't3', (0, 56): 't2*tau3^-1', (1, 31): 't1', (0, 46): 't3*tau2', (0, 155): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', }