U-tiling: UQC1773
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1338 |
*2244 |
(2,5,4) |
{6,4} |
{4.8.4.3.4.8}{4.4.3.3} |
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) |
|
G
|
False
|
|
sqc9528
|
|
I-42d |
122 |
tetragonal |
{4,6} |
16 |
(2,6) |
|
D
|
False
|
|
sqc3717
|
|
P4/mmm |
123 |
tetragonal |
{4,6} |
8 |
(2,5) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.8.4.3.4.8}{4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<106.1:160:11 4 5 66 67 28 29 70 14 15 76 77 38 39 80 41 24 25 36 37 40 51 34 35 44 45 56 57 68 69 60 54 55 78 79 71 64 65 74 75 91 84 85 146 147 108 109 150 94 95 156 157 118 119 160 121 104 105 116 117 120 131 114 115 124 125 136 137 148 149 140 134 135 158 159 151 144 145 154 155,2 10 14 6 8 19 12 20 16 18 22 30 44 26 28 49 32 40 54 36 38 59 42 50 46 48 52 60 56 58 62 70 74 66 68 79 72 80 76 78 82 90 94 86 88 99 92 100 96 98 102 110 124 106 108 129 112 120 134 116 118 139 122 130 126 128 132 140 136 138 142 150 154 146 148 159 152 160 156 158,81 3 5 7 9 90 91 13 15 17 19 100 101 23 25 27 29 110 111 33 35 37 39 120 121 43 45 47 49 130 131 53 55 57 59 140 141 63 65 67 69 150 151 73 75 77 79 160 83 85 87 89 93 95 97 99 103 105 107 109 113 115 117 119 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159:3 4 8 4 4 3 4 3 4 3 3 4 8 4 4 3 4 3 4 3,4 6 4 4 6 4 6 4 4 4 6 4 6 6 6 6> {(0, 157): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 118): 't1*tau2^-1*t3^-1', (0, 117): 'tau3^-1', (0, 107): 't2^-1', (0, 48): 't3', (0, 38): 't1', (0, 147): 'tau1^-1', (1, 113): 't1*tau2^-1*t3^-1', (0, 118): 'tau3^-1', (0, 108): 't2^-1', (0, 130): 't3*tau2*t1^-1', (0, 155): 't3^-1*tau2^-1*t1', (0, 16): 't1^-1*tau2*t3', (0, 159): 't3^-1*tau2^-1*t1', (0, 148): 'tau1^-1', (0, 138): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 57): 't3*tau2*t3', (0, 47): 't3', (0, 19): 't1^-1*tau2*t3', (1, 53): 't3*tau2*t1^-1', (0, 156): 't3^-1*tau2^-1*t1', (0, 50): 't3*tau2*t1^-1', (1, 58): 't3*tau2*t1^-1', (0, 15): 't1^-1*tau2*t3', (0, 37): 't1', (0, 58): 't3*tau2*t3', }