U-tiling: UQC4452
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1452 |
*2244 |
(4,5,2) |
{3,4,8,4} |
{7.3.7}{7.7.3.3}{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) |
G
|
False
|
|
sqc9418
|
|
I-42d |
122 |
tetragonal |
{3,4,8,4} |
20 |
(4,6) |
D
|
False
|
|
sqc3297
|
|
P-42m |
111 |
tetragonal |
{3,4,4,8} |
10 |
(4,5) |
Topological data
Vertex degrees | {3,4,8,4} |
2D vertex symbol | {7.3.7}{7.7.3.3}{7.7.7.7.7.7.7.7}{7.7.7.7} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<100.1:160:61 3 5 86 8 10 71 13 15 96 18 20 31 23 25 106 28 30 33 35 116 38 40 51 43 45 126 48 50 53 55 136 58 60 63 65 146 68 70 73 75 156 78 80 141 83 85 88 90 151 93 95 98 100 111 103 105 108 110 113 115 118 120 131 123 125 128 130 133 135 138 140 143 145 148 150 153 155 158 160,2 7 84 6 9 70 12 17 94 16 19 80 22 27 104 26 29 40 32 37 114 36 39 42 47 124 46 49 60 52 57 134 56 59 62 67 144 66 69 72 77 154 76 79 82 87 86 89 150 92 97 96 99 160 102 107 106 109 120 112 117 116 119 122 127 126 129 140 132 137 136 139 142 147 146 149 152 157 156 159,81 4 5 16 17 18 29 30 91 14 15 39 40 101 24 25 46 47 48 111 34 35 56 57 58 121 44 45 69 70 131 54 55 79 80 141 64 65 76 77 78 151 74 75 84 85 96 97 98 109 110 94 95 119 120 104 105 126 127 128 114 115 136 137 138 124 125 149 150 134 135 159 160 144 145 156 157 158 154 155:7 3 7 3 7 3 3 7 3 3 3 3 7 7 7 7,3 4 8 4 3 3 4 3 4 3 3 3 4 3 4 8 4 4 4 4> {(2, 56): 't3*tau2*t1^-1', (2, 57): 't3*tau2*t1^-1', (2, 58): 't3*tau2*t3', (2, 59): 't3*tau2*t3', (2, 55): 't3*tau2*t1^-1', (2, 48): 't3', (2, 49): 't3', (1, 99): 't1^-1*tau2*t3', (2, 39): 't1', (2, 38): 't1', (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, 148): 'tau1^-1', (2, 149): 'tau1^-1', (0, 150): 't3^-1*tau2^-1*t1', (0, 10): 't1^-1*tau2*t3', (2, 136): 't3*tau2*t1^-1', (2, 137): 't3*tau2*t1^-1', (1, 79): 't3^-1*tau2^-1*t1', (2, 135): 't3*tau2*t1^-1', (2, 118): 'tau3^-1', (2, 119): 'tau3^-1', (2, 108): 't2^-1', (2, 109): 't2^-1'}