U-tiling: UQC1738
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1305 |
*2244 |
(2,4,4) |
{4,4} |
{8.6.3.8}{3.6.3.6} |
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
|
|
sqc9826
|
|
P42/mmc |
131 |
tetragonal |
{4,4} |
20 |
(2,4) |
|
G
|
False
|
|
sqc9835
|
|
I-42d |
122 |
tetragonal |
{4,4,4} |
20 |
(3,5) |
|
D
|
False
|
|
sqc3832
|
|
P-42m |
111 |
tetragonal |
{4,4} |
10 |
(2,4) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {8.6.3.8}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:160:3 4 65 66 27 28 19 20 13 14 75 76 37 38 23 24 35 36 49 50 33 34 59 60 43 44 55 56 67 68 53 54 77 78 63 64 79 80 73 74 83 84 145 146 107 108 99 100 93 94 155 156 117 118 103 104 115 116 129 130 113 114 139 140 123 124 135 136 147 148 133 134 157 158 143 144 159 160 153 154,61 82 5 10 7 9 71 92 15 20 17 19 31 102 25 30 27 29 112 35 40 37 39 51 122 45 50 47 49 132 55 60 57 59 142 65 70 67 69 152 75 80 77 79 141 85 90 87 89 151 95 100 97 99 111 105 110 107 109 115 120 117 119 131 125 130 127 129 135 140 137 139 145 150 147 149 155 160 157 159,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:3 6 8 8 3 3 6 6 3 6 3 8 8 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 157): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 146): 'tau1^-1', (0, 117): 'tau3^-1', (0, 107): 't2^-1', (0, 59): 't3*tau2*t1^-1', (0, 154): 't3^-1*tau2^-1*t1', (0, 147): 'tau1^-1', (0, 56): 't3*tau2*t3', (0, 46): 't3', (0, 155): 't3^-1*tau2^-1*t1', (1, 90): 't1^-1*tau2*t3', (0, 138): 't3*tau2*t1^-1', (1, 70): 't3^-1*tau2^-1*t1', (0, 57): 't3*tau2*t3', (0, 47): 't3', (0, 14): 't1^-1*tau2*t3', (0, 36): 't1', (0, 156): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 139): 't3*tau2*t1^-1', (0, 116): 'tau3^-1', (0, 106): 't2^-1', (0, 15): 't1^-1*tau2*t3', (0, 37): 't1', (0, 58): 't3*tau2*t1^-1', }