U-tiling: UQC860
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc644 |
*22222 |
(2,4,3) |
{6,4} |
{4.6.3.3.6.4}{6.3.6.3} |
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) |
|
P
|
False
|
|
sqc1885
|
|
Fmmm |
69 |
orthorhombic |
{4,6} |
6 |
(2,4) |
|
G
|
False
|
|
sqc7662
|
|
Fddd |
70 |
orthorhombic |
{6,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc123
|
|
Pmmm |
47 |
orthorhombic |
{4,6} |
3 |
(2,4) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.6.3.3.6.4}{6.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.1:128:73 66 67 6 7 16 89 82 83 14 15 105 98 99 22 23 32 121 114 115 30 31 81 90 91 38 39 48 65 74 75 46 47 113 122 123 54 55 64 97 106 107 62 63 70 71 88 78 79 96 86 87 94 95 102 103 120 110 111 128 118 119 126 127,2 4 8 38 15 10 12 16 46 18 20 24 54 31 26 28 32 62 34 36 40 47 42 44 48 50 52 56 63 58 60 64 66 68 72 94 87 74 76 80 86 95 82 84 88 90 92 96 98 100 104 126 119 106 108 112 118 127 114 116 120 122 124 128,17 3 5 7 24 25 11 13 15 32 19 21 23 27 29 31 49 35 37 39 56 57 43 45 47 64 51 53 55 59 61 63 97 67 69 71 104 105 75 77 79 112 113 83 85 87 120 121 91 93 95 128 99 101 103 107 109 111 115 117 119 123 125 127:4 6 3 4 6 4 6 3 4 6 3 3 3 3 3 3,6 4 6 4 6 6 6 4 6 6 6 4> {(1, 21): 't1^-1', (1, 118): 't2^-1*tau1^-1*t3', (2, 127): 't2', (0, 18): 'tau2^-1', (0, 95): 'tau1', (0, 8): 't2', (2, 120): 't2', (0, 119): 't2^-1*tau1^-1*t3', (0, 32): 't2^-1', (0, 57): 'tau2', (1, 61): 't1', (1, 126): 't2*tau1*t3^-1', (0, 17): 'tau2^-1', (0, 26): 'tau3', (1, 117): 'tau3^-1*t1^-1*tau2', (2, 96): 't3^-1', (1, 86): 'tau1^-1', (2, 79): 't3^-1', (0, 50): 'tau3^-1', (0, 127): 't2*tau1*t3^-1', (0, 40): 't3^-1', (2, 103): 't3^-1', (0, 87): 'tau1^-1', (0, 0): 't3', (2, 112): 't2^-1', (2, 119): 't2^-1', (0, 25): 'tau3', (1, 125): 'tau3*t1*tau2^-1', (2, 104): 't3', (1, 94): 'tau1', (0, 49): 'tau3^-1', (0, 58): 'tau2', }