U-tiling: UQC4357
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1229 |
*2244 |
(4,4,2) |
{8,4,4,4} |
{5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.5... |
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
|
False
|
|
sqc8570
|
|
P4/nmm |
129 |
tetragonal |
{8,4,4,4} |
16 |
(4,4) |
|
G
|
False
|
|
sqc8503
|
|
I41/a |
88 |
tetragonal |
{8,4,4,4} |
16 |
(4,5) |
|
D
|
False
|
|
sqc8504
|
|
I41/amd |
141 |
tetragonal |
{8,4,4,4} |
16 |
(4,4) |
Topological data
| Vertex degrees | {8,4,4,4} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.5.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<91.1:144:10 3 5 7 9 12 14 16 18 37 21 23 25 27 46 30 32 34 36 39 41 43 45 48 50 52 54 64 57 59 61 63 66 68 70 72 100 75 77 79 81 91 84 86 88 90 93 95 97 99 102 104 106 108 127 111 113 115 117 136 120 122 124 126 129 131 133 135 138 140 142 144,2 4 14 8 61 63 11 13 17 70 72 20 22 41 26 79 81 29 31 50 35 97 99 38 40 44 106 108 47 49 53 88 90 56 58 68 62 65 67 71 74 76 104 80 83 85 95 89 92 94 98 101 103 107 110 112 131 116 142 144 119 121 140 125 133 135 128 130 134 137 139 143,55 20 21 6 7 26 27 64 29 30 15 16 35 36 73 24 25 91 33 34 100 119 120 42 43 125 126 82 137 138 51 52 143 144 83 84 60 61 89 90 101 102 69 70 107 108 110 111 78 79 116 117 87 88 128 129 96 97 134 135 105 106 136 114 115 127 123 124 132 133 141 142:5 4 4 5 4 5 4 4 4 5 5 5 5 4 5 4,8 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4> {(1, 121): 'tau1^-1', (2, 126): 't2*tau3^-1*t1^-1*tau2*t3', (2, 63): 't1', (0, 126): 'tau1^-1', (1, 40): 't3^-1', (2, 27): 'tau3*t2^-1', (1, 49): 't2^-1', (1, 112): 'tau1', (2, 54): 't1', (0, 81): 't2^-1', (1, 85): 't2^-1', (2, 18): 'tau2^-1*t3^-1', (2, 45): 't2^-1*tau3', (0, 72): 't3', (0, 36): 't3^-1', (0, 45): 't2^-1', (2, 36): 't3^-1*tau2^-1', (2, 135): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 135): 'tau1', (1, 103): 't3^-1'}