U-tiling: UQC1594
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1263 |
*22222 |
(2,6,4) |
{6,4} |
{4.4.4.4.4.4}{4.4.4.4} |
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
|
True
|
|
sqc7845
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
16 |
(2,6) |
|
G
|
False
|
|
sqc9452
|
|
I4122 |
98 |
tetragonal |
{4,6} |
16 |
(2,6) |
|
D
|
False
|
|
sqc3443
|
|
P4222 |
93 |
tetragonal |
{4,6} |
8 |
(2,6) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<49.2:160:91 22 23 5 26 27 18 19 30 71 32 33 15 36 37 40 111 25 38 39 101 35 131 62 63 45 66 67 78 79 70 121 82 83 55 86 87 98 99 90 151 65 108 109 102 103 75 106 107 110 141 85 118 119 112 113 95 116 117 120 105 115 142 143 125 146 147 138 139 150 152 153 135 156 157 160 145 158 159 155,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160,41 3 44 45 7 9 50 51 13 54 55 17 19 60 61 23 64 65 27 29 70 81 33 84 85 37 39 90 43 47 49 53 57 59 63 67 69 121 73 124 125 77 79 130 83 87 89 131 93 134 135 97 99 140 141 103 144 145 107 109 150 151 113 154 155 117 119 160 123 127 129 133 137 139 143 147 149 153 157 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6> {(0, 146): 't1*tau3*t2^-1', (0, 117): 'tau3^-1', (0, 55): 't2*tau3^-1', (0, 22): 't1^-1', (0, 140): 't1', (0, 48): 't3', (0, 137): 'tau1', (0, 151): 'tau2^-1*t3^-1', (0, 118): 'tau3^-1', (0, 56): 't2*tau3^-1', (0, 39): 't1', (0, 159): 't1^-1*tau3^-1*t2', (0, 20): 't1^-1', (0, 138): 'tau1', (2, 113): 't1', (0, 109): 'tau2*t3', (0, 47): 't3', (2, 30): 't1', (2, 34): 't1', (0, 61): 'tau2^-1*t3^-1', (0, 149): 'tau2*t3', (2, 39): 't1', (0, 25): 't1^-1', (0, 37): 't1', (0, 157): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 51): 't2*tau3^-1', (0, 62): 'tau2^-1*t3^-1', (0, 107): 'tau2', (0, 45): 't3*tau2', (0, 26): 't1^-1', (0, 38): 't1', (2, 110): 't1', (0, 158): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 52): 't2*tau3^-1', (0, 141): 't1*tau3*t2^-1', (0, 108): 'tau2', (0, 46): 't3*tau2', (0, 155): 'tau2^-1*t3^-1', (2, 33): 't1', (0, 119): 'tau3^-1*t2', (0, 57): 't2', (0, 142): 't1*tau3*t2^-1', (0, 145): 't1*tau3*t2^-1', (0, 156): 'tau2^-1*t3^-1', (0, 21): 't1^-1', (2, 114): 't1', (0, 132): 't3*tau2', (2, 119): 't1', (0, 58): 't2', }