U-tiling: UQC3772
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc825 |
*22222 |
(3,4,2) |
{4,6,3} |
{6.6.6.6}{6.4.6.6.4.6}{6.6.4} |
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
|
|
sqc1561
|
|
Fmmm |
69 |
orthorhombic |
{3,3,6} |
8 |
(3,4) |
|
G
|
False
|
|
sqc7776
|
|
Fddd |
70 |
orthorhombic |
{4,6,3} |
16 |
(3,5) |
|
D
|
False
|
|
sqc1765
|
|
Cmma |
67 |
orthorhombic |
{6,3,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,6,3} |
| 2D vertex symbol | {6.6.6.6}{6.4.6.6.4.6}{6.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.5:128:9 3 5 7 16 11 13 15 25 19 21 23 32 27 29 31 41 35 37 39 48 43 45 47 57 51 53 55 64 59 61 63 81 67 69 71 88 89 75 77 79 96 83 85 87 91 93 95 113 99 101 103 120 121 107 109 111 128 115 117 119 123 125 127,2 4 8 70 39 10 12 16 86 47 18 20 24 102 55 26 28 32 118 63 34 36 40 94 42 44 48 78 50 52 56 126 58 60 64 110 66 68 72 95 74 76 80 87 82 84 88 90 92 96 98 100 104 127 106 108 112 119 114 116 120 122 124 128,17 74 75 6 7 40 25 90 91 14 15 48 106 107 22 23 56 122 123 30 31 64 49 82 83 38 39 57 66 67 46 47 114 115 54 55 98 99 62 63 97 70 71 96 105 78 79 88 113 86 87 121 94 95 102 103 128 110 111 120 118 119 126 127:6 4 4 6 4 4 6 6 6 6 6 6,4 6 3 4 6 3 6 3 6 3 4 4 3 3 3 3> {(2, 63): 't1', (1, 125): 'tau3', (1, 126): 'tau3*t1*tau2^-1', (2, 55): 't1', (1, 117): 'tau3^-1', (1, 118): 'tau3^-1*t1^-1*tau2', (1, 109): 'tau2^-1', (2, 41): 't3^-1', (2, 42): 't3^-1', (2, 33): 't2^-1', (2, 34): 't2^-1', (2, 9): 't2', (2, 10): 't2', (2, 1): 't3', (2, 2): 't3', (0, 120): 't2*tau1*t3^-1', (2, 127): 'tau3*t1*tau2^-1', (2, 120): 't2', (0, 127): 't2*tau1*t3^-1', (1, 62): 't1', (0, 112): 't2^-1*tau1^-1*t3', (2, 119): 'tau3^-1*t1^-1*tau2', (2, 112): 't2^-1', (0, 119): 't2^-1*tau1^-1*t3', (1, 54): 't1', (2, 104): 't3', (2, 96): 't3^-1', (0, 88): 'tau1', (0, 80): 'tau1^-1', (1, 21): 'tau2^-1', (0, 79): 'tau1^-1', (0, 71): 'tau1'}