U-tiling: UQC3542
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc750 |
*22222 |
(3,5,2) |
{4,4,4} |
{4.4.4.4}{4.8.8.4}{8.8.8.8} |
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
|
|
sqc1114
|
|
Fmmm |
69 |
orthorhombic |
{4,3,3} |
8 |
(3,5) |
|
G
|
False
|
|
sqc7749
|
|
Fddd |
70 |
orthorhombic |
{4,4,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc159
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4} |
4 |
(3,5) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {4.4.4.4}{4.8.8.4}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.5:128:9 3 12 13 7 40 11 15 48 25 19 28 29 23 56 27 31 64 41 35 44 45 39 43 47 57 51 60 61 55 59 63 81 67 84 85 71 96 89 75 92 93 79 88 83 87 91 95 113 99 116 117 103 128 121 107 124 125 111 120 115 119 123 127,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128,17 74 75 5 78 79 72 25 90 91 13 94 95 88 106 107 21 110 111 104 122 123 29 126 127 120 49 82 83 37 86 87 96 57 66 67 45 70 71 80 114 115 53 118 119 128 98 99 61 102 103 112 97 69 105 77 113 85 121 93 101 109 117 125:4 8 4 8 4 4 4 8 4 4 8 4,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 63): 'tau2', (0, 63): 't1', (2, 55): 'tau3^-1', (0, 55): 't1', (2, 45): 't3^-1', (2, 46): 't3^-1', (2, 41): 't3^-1', (2, 42): 't3^-1', (2, 37): 't2^-1', (2, 38): 't2^-1', (2, 33): 't2^-1', (2, 34): 't2^-1', (2, 31): 'tau3', (2, 23): 'tau2^-1', (2, 13): 't2', (2, 14): 't2', (2, 9): 't2', (2, 10): 't2', (2, 5): 't3', (2, 6): 't3', (2, 1): 't3', (2, 2): 't3', (0, 123): 't2*tau1*t3^-1', (0, 120): 't2*tau1*t3^-1', (2, 120): 't2', (0, 127): 'tau3*t1*tau2^-1', (0, 124): 't2*tau1*t3^-1', (0, 115): 't2^-1*tau1^-1*t3', (0, 112): 't2^-1*tau1^-1*t3', (2, 112): 't2^-1', (0, 119): 'tau3^-1*t1^-1*tau2', (0, 116): 't2^-1*tau1^-1*t3', (2, 104): 't3', (2, 96): 't3^-1', (0, 88): 'tau1', (0, 84): 'tau1^-1', (0, 75): 'tau1^-1', (0, 76): 'tau1^-1', (0, 67): 'tau1', (0, 64): 'tau1'}