U-tiling: UQC4539
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1479 |
*22222 |
(4,5,2) |
{3,3,4,4} |
{6.7.6}{6.7.7}{7.7.7.7}{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
|
|
sqc9876
|
|
P4/mmm |
123 |
tetragonal |
{3,3,4,4} |
24 |
(4,5) |
|
G
|
False
|
|
sqc9879
|
|
I4122 |
98 |
tetragonal |
{3,3,4,4} |
24 |
(4,6) |
|
D
|
False
|
|
sqc3429
|
|
P4222 |
93 |
tetragonal |
{4,4,3,3} |
12 |
(4,5) |
Topological data
| Vertex degrees | {3,3,4,4} |
| 2D vertex symbol | {6.7.6}{6.7.7}{7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.4:160:21 3 5 7 9 20 31 13 15 17 19 23 25 27 29 40 33 35 37 39 61 43 45 47 49 80 81 53 55 57 59 100 63 65 67 69 110 101 73 75 77 79 83 85 87 89 120 111 93 95 97 99 103 105 107 109 113 115 117 119 141 123 125 127 129 140 151 133 135 137 139 143 145 147 149 160 153 155 157 159,2 93 14 6 8 10 12 73 16 18 20 22 113 34 26 28 30 32 103 36 38 40 42 133 74 46 48 50 52 123 94 56 58 60 62 153 104 66 68 70 72 76 78 80 82 143 114 86 88 90 92 96 98 100 102 106 108 110 112 116 118 120 122 134 126 128 130 132 136 138 140 142 154 146 148 150 152 156 158 160,11 4 5 96 97 48 49 30 14 15 76 77 58 59 40 31 24 25 116 117 68 69 34 35 106 107 88 89 71 44 45 136 137 70 91 54 55 126 127 90 101 64 65 156 157 74 75 128 129 110 111 84 85 146 147 94 95 138 139 120 104 105 148 149 114 115 158 159 131 124 125 150 134 135 160 151 144 145 154 155:6 7 6 7 6 7 6 7 7 7 7 7,3 3 4 4 3 4 4 3 3 4 3 4 3 3 3 3 3 3 4 3 3 4 3 3> {(2, 60): 'tau2^-1', (0, 59): 't2', (1, 123): 'tau1^-1', (0, 60): 'tau2^-1*t3^-1', (0, 50): 't2*tau3^-1', (1, 112): 't1', (0, 49): 't3', (2, 50): 't2', (2, 40): 't3', (2, 37): 't1', (2, 38): 't1', (0, 39): 't1', (1, 103): 'tau2', (2, 157): 't1^-1', (2, 30): 't1', (1, 93): 't2^-1', (0, 159): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 26): 't1^-1', (2, 149): 'tau2*t3', (1, 83): 'tau3', (1, 82): 't1^-1', (0, 150): 'tau2^-1*t3^-1', (2, 145): 't1', (0, 20): 't1^-1', (2, 19): 't1^-1', (1, 73): 't3^-1', (0, 139): 'tau1', (0, 140): 't1*tau3*t2^-1', (2, 140): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 130): 'tau1', (2, 119): 'tau3^-1*t2', (2, 118): 't1', (2, 139): 't2^-1*tau3*t1', (2, 115): 't1', (2, 109): 'tau2*t3', (0, 109): 'tau2', (1, 33): 't1', (1, 153): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 89): 'tau3', (2, 86): 't1^-1', (2, 80): 'tau3'}