U-tiling: UQC4557
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1483 |
*22222 |
(4,5,2) |
{4,4,4,4} |
{3.7.7.3}{3.7.3.7}{7.7.7.7}{7.7.... |
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
|
|
sqc446
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4} |
5 |
(4,5) |
|
G
|
False
|
|
sqc9821
|
|
Fddd |
70 |
orthorhombic |
{4,4,4,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc3825
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {3.7.7.3}{3.7.3.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<55.2:160:91 3 5 7 9 30 111 13 15 17 19 40 131 23 25 27 29 151 33 35 37 39 101 43 45 47 49 70 81 53 55 57 59 80 141 63 65 67 69 121 73 75 77 79 83 85 87 89 130 93 95 97 99 140 103 105 107 109 150 113 115 117 119 160 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159,2 93 6 25 8 10 12 113 16 35 18 20 22 133 26 28 30 32 153 36 38 40 42 103 46 65 48 50 52 83 56 75 58 60 62 143 66 68 70 72 123 76 78 80 82 86 125 88 90 92 96 135 98 100 102 106 145 108 110 112 116 155 118 120 122 126 128 130 132 136 138 140 142 146 148 150 152 156 158 160,81 4 5 86 87 48 49 20 101 14 15 106 107 58 59 121 24 25 126 127 68 69 40 141 34 35 146 147 78 79 111 44 45 116 117 60 91 54 55 96 97 151 64 65 156 157 80 131 74 75 136 137 84 85 118 119 110 94 95 108 109 120 104 105 114 115 124 125 158 159 150 134 135 148 149 160 144 145 154 155:3 7 3 7 3 3 3 7 3 7 3 3 7 7 7 7,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 'tau3^-1', (1, 124): 't3^-1', (0, 50): 't3^-1', (1, 112): 't2^-1', (1, 114): 't2^-1', (0, 159): 't2', (1, 104): 't2', (0, 40): 't2^-1', (2, 36): 'tau3', (2, 37): 't1^-1', (2, 38): 't1^-1', (2, 147): 'tau3^-1*t1^-1*tau2', (2, 35): 'tau3', (2, 28): 't1^-1', (2, 30): 'tau3', (2, 159): 't2*tau1*t3^-1', (2, 25): 'tau2^-1', (2, 26): 'tau2^-1', (2, 27): 't1^-1', (2, 20): 'tau2^-1', (2, 149): 't2^-1*tau1^-1*t3', (1, 82): 't3', (0, 149): 't2^-1', (0, 10): 't2', (0, 139): 't3', (2, 136): 'tau2^-1', (2, 138): 'tau2^-1*t1*tau3', (0, 0): 't3', (2, 135): 'tau2^-1', (2, 128): 'tau2*t1^-1*tau3^-1', (2, 130): 'tau2^-1', (2, 156): 'tau3', (2, 127): 'tau2*t1^-1*tau3^-1', (1, 94): 't3^-1', (2, 109): 'tau1^-1', (2, 99): 'tau1^-1', (0, 89): 't3', (2, 155): 'tau3', (1, 102): 't2', (1, 2): 't3'}