U-tiling: UQC4475
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1467 |
*2244 |
(4,5,2) |
{3,4,8,4} |
{5.5.5}{5.5.5.5}{5.5.5.5.5.5.5.5... |
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
|
|
sqc9283
|
|
P42/mmc |
131 |
tetragonal |
{3,4,6,4} |
20 |
(4,5) |
|
G
|
False
|
|
sqc9406
|
|
I-42d |
122 |
tetragonal |
{3,4,8,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc3133
|
|
P-42m |
111 |
tetragonal |
{4,3,8,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {3,4,8,4} |
| 2D vertex symbol | {5.5.5}{5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<102.1:160:61 3 5 7 88 10 71 13 15 17 98 20 31 23 25 27 108 30 33 35 37 118 40 51 43 45 47 128 50 53 55 57 138 60 63 65 67 148 70 73 75 77 158 80 141 83 85 87 90 151 93 95 97 100 111 103 105 107 110 113 115 117 120 131 123 125 127 130 133 135 137 140 143 145 147 150 153 155 157 160,2 9 84 6 8 70 12 19 94 16 18 80 22 29 104 26 28 40 32 39 114 36 38 42 49 124 46 48 60 52 59 134 56 58 62 69 144 66 68 72 79 154 76 78 82 89 86 88 150 92 99 96 98 160 102 109 106 108 120 112 119 116 118 122 129 126 128 140 132 139 136 138 142 149 146 148 152 159 156 158,81 4 5 26 27 18 29 30 91 14 15 36 37 39 40 101 24 25 48 111 34 35 58 121 44 45 66 67 69 70 131 54 55 76 77 79 80 141 64 65 78 151 74 75 84 85 106 107 98 109 110 94 95 116 117 119 120 104 105 128 114 115 138 124 125 146 147 149 150 134 135 156 157 159 160 144 145 158 154 155:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,3 4 8 4 3 4 3 3 3 4 3 4 3 3 4 8 4 4 4 4> {(2, 56): 't3*tau2*t3', (2, 57): 't3*tau2*t1^-1', (2, 58): 't3*tau2*t3', (2, 59): 't3*tau2*t3', (2, 55): 't3*tau2*t3', (2, 48): 't3', (2, 49): 't3', (2, 45): 't3', (2, 46): 't3', (2, 36): 't1', (1, 99): 't1^-1*tau2*t3', (2, 39): 't1', (2, 38): 't1', (2, 35): 't1', (2, 156): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 158): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 159): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 155): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 148): 'tau1^-1', (2, 149): 'tau1^-1', (0, 150): 't3^-1*tau2^-1*t1', (2, 145): 'tau1^-1', (2, 146): 'tau1^-1', (0, 10): 't1^-1*tau2*t3', (2, 137): 't3*tau2*t1^-1', (1, 79): 't3^-1*tau2^-1*t1', (2, 116): 'tau3^-1', (2, 118): 'tau3^-1', (2, 119): 'tau3^-1', (2, 115): 'tau3^-1', (2, 108): 't2^-1', (2, 109): 't2^-1', (2, 105): 't2^-1', (2, 86): 't2'}