U-tiling: UQC3766
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
|
False
|
|
sqc2149
|
|
Fmmm |
69 |
orthorhombic |
{3,6,4} |
8 |
(3,4) |
|
G
|
False
|
|
sqc7969
|
|
Fddd |
70 |
orthorhombic |
{4,6,3} |
16 |
(3,5) |
|
D
|
False
|
|
sqc181
|
|
Pmmm |
47 |
orthorhombic |
{6,4,3} |
4 |
(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
<34.3:128:65 3 5 7 72 81 11 13 15 88 97 19 21 23 104 113 27 29 31 120 89 35 37 39 96 73 43 45 47 80 121 51 53 55 128 105 59 61 63 112 67 69 71 75 77 79 83 85 87 91 93 95 99 101 103 107 109 111 115 117 119 123 125 127,2 4 8 22 79 10 12 16 30 95 18 20 24 111 26 28 32 127 34 36 40 54 87 42 44 48 62 71 50 52 56 119 58 60 64 103 66 68 72 102 74 76 80 110 82 84 88 118 90 92 96 126 98 100 104 106 108 112 114 116 120 122 124 128,33 10 11 6 7 80 41 14 15 96 49 26 27 22 23 112 57 30 31 128 42 43 38 39 88 46 47 72 58 59 54 55 120 62 63 104 89 82 83 70 71 81 90 91 78 79 86 87 94 95 121 114 115 102 103 113 122 123 110 111 118 119 126 127:6 4 6 4 6 6 6 4 6 4 6 6,4 6 3 3 4 3 3 6 3 3 3 3 4 6 6 4> {(0, 56): 'tau2', (2, 56): 't1', (0, 63): 'tau2', (0, 48): 'tau3^-1', (1, 117): 't2^-1', (0, 55): 'tau3^-1', (2, 47): 't3^-1', (1, 109): 't3', (1, 125): 't2', (2, 39): 't2^-1', (1, 101): 't3^-1', (0, 24): 'tau3', (0, 31): 'tau3', (1, 94): 't2^-1', (0, 16): 'tau2^-1', (2, 16): 't1^-1', (0, 23): 'tau2^-1', (2, 15): 't2', (1, 78): 't3^-1', (2, 7): 't3', (1, 70): 't3', (2, 120): 'tau3*t1*tau2^-1', (2, 121): 't2*tau1*t3^-1', (2, 122): 't2*tau1*t3^-1', (2, 112): 'tau3^-1*t1^-1*tau2', (2, 114): 't2^-1*tau1^-1*t3', (2, 97): 't3^-1*tau1*t2', (1, 38): 't2^-1', (2, 89): 'tau1', (2, 90): 'tau1', (2, 81): 'tau1^-1', (2, 82): 'tau1^-1'}