U-tiling: UQC884
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc655 |
*2244 |
(2,3,3) |
{3,8} |
{4.12.6}{6.12.6.12.6.12.6.12} |
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
|
|
sqc2145
|
|
P4/mmm |
123 |
tetragonal |
{3,8} |
9 |
(2,3) |
|
G
|
False
|
|
sqc7925
|
|
I41/a |
88 |
tetragonal |
{8,3,3} |
18 |
(3,4) |
|
D
|
False
|
|
sqc7923
|
|
I41/amd |
141 |
tetragonal |
{8,3} |
18 |
(2,3) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.12.6}{6.12.6.12.6.12.6.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:128:3 4 13 14 55 56 11 12 63 64 19 20 37 38 71 72 27 28 45 46 87 88 35 36 95 96 43 44 79 80 51 52 61 62 59 60 67 68 93 94 75 76 85 86 83 84 91 92 99 100 117 118 127 128 107 108 125 126 119 120 115 116 123 124,49 18 5 8 7 57 26 13 16 15 65 21 24 23 81 29 32 31 89 106 37 40 39 73 122 45 48 47 74 53 56 55 90 61 64 63 98 69 72 71 77 80 79 114 85 88 87 93 96 95 121 101 104 103 113 109 112 111 117 120 119 125 128 127,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128:6 12 4 12 6 4 6 4 6 4,8 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3> {(0, 93): 't3^-1', (1, 80): 't2*tau3^-1', (1, 120): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 125): 'tau1', (0, 124): 'tau1', (0, 37): 't3^-1', (1, 64): 't3*tau2', (1, 48): 't1', (0, 84): 't2', (1, 56): 't1', (0, 36): 't3^-1', (0, 116): 'tau1^-1', (0, 77): 't2^-1', (1, 72): 'tau3^-1*t2', (0, 92): 't3^-1', (0, 44): 't2^-1', (0, 117): 'tau1^-1', (1, 32): 't3^-1*tau2^-1', (1, 112): 't2*tau3^-1*t1^-1*tau2*t3', (0, 29): 't2', }