U-tiling: UQC1879
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1386 |
*2244 |
(2,4,4) |
{3,8} |
{8.4.6}{6.4.4.4.6.4.4.4} |
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
|
False
|
|
sqc9480
|
|
P42/mmc |
131 |
tetragonal |
{8,3} |
20 |
(2,4) |
|
G
|
False
|
|
sqc9470
|
|
I-42d |
122 |
tetragonal |
{8,3,3} |
20 |
(3,5) |
|
D
|
False
|
|
sqc3385
|
|
P-42m |
111 |
tetragonal |
{3,8} |
10 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {8.4.6}{6.4.4.4.6.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:160:21 22 5 6 27 28 19 20 31 32 15 16 37 38 25 26 49 50 35 36 59 60 61 62 45 46 67 68 71 72 55 56 77 78 65 66 79 80 75 76 101 102 85 86 107 108 99 100 111 112 95 96 117 118 105 106 129 130 115 116 139 140 141 142 125 126 147 148 151 152 135 136 157 158 145 146 159 160 155 156,61 3 84 7 10 9 71 13 94 17 20 19 31 23 104 27 30 29 33 114 37 40 39 51 43 124 47 50 49 53 134 57 60 59 63 144 67 70 69 73 154 77 80 79 141 83 87 90 89 151 93 97 100 99 111 103 107 110 109 113 117 120 119 131 123 127 130 129 133 137 140 139 143 147 150 149 153 157 160 159,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:4 4 6 8 4 6 6 4 4 6 4 4 8 4 4 4,8 3 8 3 8 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3> {(0, 100): 't2^-1', (0, 157): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 51): 't3*tau2*t3', (0, 60): 't3^-1', (0, 146): 'tau1^-1', (1, 90): 't1^-1*tau2*t3', (0, 11): 't1^-1', (0, 117): 'tau3^-1', (0, 101): 't2^-1', (0, 150): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 140): 'tau1^-1', (0, 57): 't3*tau2*t3', (0, 47): 't3', (0, 59): 't3*tau2*t1^-1', (0, 36): 't1', (0, 87): 't2', (0, 61): 't3^-1', (0, 110): 'tau3^-1', (0, 147): 'tau1^-1', (0, 156): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 50): 't3*tau2*t3', (0, 30): 't1', (0, 139): 't3*tau2*t1^-1', (0, 116): 'tau3^-1', (0, 106): 't2^-1', (0, 151): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 141): 'tau1^-1', (0, 118): 't1*tau2^-1*t3^-1', (1, 10): 't1^-1*tau2*t3', (0, 56): 't3*tau2*t3', (0, 37): 't1', (0, 46): 't3', (0, 91): 'tau3', (0, 58): 't3*tau2*t1^-1', }