U-tiling: UQC4262
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1095 |
*2244 |
(4,5,2) |
{4,8,4,4} |
{6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3... |
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
|
|
sqc8972
|
|
I41/a |
88 |
tetragonal |
{4,8,4,4} |
16 |
(4,5) |
|
D
|
False
|
|
sqc8975
|
|
I41/amd |
141 |
tetragonal |
{4,8,4,4} |
16 |
(4,5) |
Topological data
| Vertex degrees | {4,8,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3.6}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<72.1:144:55 3 5 60 61 9 64 12 14 69 70 18 73 21 23 78 79 27 91 30 32 96 97 36 100 39 41 105 106 45 82 48 50 87 88 54 57 59 63 66 68 72 75 77 81 84 86 90 93 95 99 102 104 108 136 111 113 141 142 117 127 120 122 132 133 126 129 131 135 138 140 144,2 4 6 8 63 11 13 15 17 72 20 22 24 26 81 29 31 33 35 99 38 40 42 44 108 47 49 51 53 90 56 58 60 62 65 67 69 71 74 76 78 80 83 85 87 89 92 94 96 98 101 103 105 107 110 112 114 116 144 119 121 123 125 135 128 130 132 134 137 139 141 143,10 56 57 22 23 7 26 27 65 66 31 32 16 35 36 37 74 75 25 46 92 93 34 101 102 121 122 43 125 126 83 84 139 140 52 143 144 64 85 86 61 89 90 103 104 70 107 108 100 112 113 79 116 117 91 88 130 131 97 134 135 106 127 137 138 115 136 128 129 124 133 142:6 3 6 3 6 3 6 3 6 3 6 3 6 3 6 3,4 8 4 4 8 4 4 4 4 4 4 4 4 4 4 4> {(2, 56): 't1', (2, 55): 't1', (2, 45): 't2^-1', (2, 46): 't2^-1*tau3', (2, 47): 't2^-1*tau3', (2, 36): 't3^-1', (2, 37): 't3^-1*tau2^-1', (2, 38): 't3^-1*tau2^-1', (2, 28): 'tau3*t2^-1', (2, 29): 'tau3*t2^-1', (2, 20): 'tau2^-1*t3^-1', (2, 19): 'tau2^-1*t3^-1', (2, 136): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 137): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 10): 't1^-1', (2, 11): 't1^-1', (2, 135): 'tau1', (2, 128): 't2*tau3^-1*t1^-1*tau2*t3', (2, 126): 'tau1^-1', (2, 127): 't2*tau3^-1*t1^-1*tau2*t3', (2, 99): 't3^-1', (2, 90): 't2'}