U-tiling: UQC1748
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1308 |
*22222 |
(2,5,4) |
{7,3} |
{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
|
|
sqc2643
|
|
Fmmm |
69 |
orthorhombic |
{3,6} |
8 |
(2,5) |
|
G
|
False
|
|
sqc9638
|
|
Fddd |
70 |
orthorhombic |
{3,7} |
16 |
(2,6) |
|
D
|
False
|
|
sqc417
|
|
Pmmm |
47 |
orthorhombic |
{3,7} |
4 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 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
<55.3:160:41 4 5 46 47 18 19 30 51 14 15 56 57 40 61 24 25 66 67 38 39 71 34 35 76 77 44 45 58 59 70 54 55 80 64 65 78 79 74 75 111 84 85 116 117 108 109 130 101 94 95 106 107 118 119 140 104 105 150 114 115 160 151 124 125 156 157 148 149 141 134 135 146 147 158 159 144 145 154 155,2 83 6 95 8 10 12 103 16 115 18 20 22 123 26 135 28 30 32 143 36 155 38 40 42 113 46 105 48 50 52 93 56 85 58 60 62 153 66 145 68 70 72 133 76 125 78 80 82 86 88 90 92 96 98 100 102 106 108 110 112 116 118 120 122 126 128 130 132 136 138 140 142 146 148 150 152 156 158 160,81 3 5 7 9 100 101 13 15 17 19 120 121 23 25 27 29 140 141 33 35 37 39 160 111 43 45 47 49 110 91 53 55 57 59 90 151 63 65 67 69 150 131 73 75 77 79 130 83 85 87 89 93 95 97 99 103 105 107 109 113 115 117 119 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 7 3 7 3 7 3 7 3 7 3 7 3 7 3 7> {(0, 157): 't2*tau1*t3^-1', (0, 30): 't1^-1', (0, 60): 't1', (2, 20): 'tau2^-1', (0, 159): 't2', (0, 117): 'tau1', (0, 126): 'tau2*t1^-1*tau3^-1', (0, 107): 'tau1^-1', (0, 129): 't3^-1', (1, 114): 't2^-1', (1, 104): 't2', (0, 150): 'tau3*t1*tau2^-1', (0, 140): 'tau3^-1*t1^-1*tau2', (2, 30): 'tau3', (0, 155): 'tau3*t1*tau2^-1', (1, 62): 'tau3^-1', (0, 36): 't1^-1', (0, 145): 'tau3^-1*t1^-1*tau2', (0, 26): 't1^-1', (2, 49): 't2^-1', (2, 59): 't3^-1', (0, 147): 't2^-1*tau1^-1*t3', (1, 122): 'tau2', (0, 108): 'tau1^-1', (2, 19): 't2', (0, 158): 't2*tau1*t3^-1', (0, 139): 't3', (0, 109): 't2', (0, 146): 'tau3^-1*t1^-1*tau2', (0, 128): 't3^-1*tau1*t2', (1, 72): 'tau2', (0, 118): 'tau1', (0, 35): 't1^-1', (1, 84): 't3', (0, 25): 't1^-1', (2, 9): 't3', (1, 32): 'tau3', (1, 94): 't3^-1', (2, 130): 'tau2^-1', (2, 60): 'tau3^-1', }