U-tiling: UQC767
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc617 |
*22222 |
(2,4,3) |
{5,6} |
{4.6.3.6.4}{6.3.3.6.3.3} |
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
|
True
|
|
sqc1404
|
|
I4/mmm |
139 |
tetragonal |
{4,6} |
6 |
(2,3) |
G
|
False
|
|
sqc7673
|
|
Fddd |
70 |
orthorhombic |
{6,5} |
12 |
(2,5) |
D
|
False
|
|
sqc177
|
|
Pmmm |
47 |
orthorhombic |
{5,6} |
3 |
(2,4) |
Topological data
Vertex degrees | {5,6} |
2D vertex symbol | {4.6.3.6.4}{6.3.3.6.3.3} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.4:128:9 4 5 78 79 24 12 13 94 95 32 25 20 21 110 111 28 29 126 127 41 36 37 86 87 56 44 45 70 71 64 57 52 53 118 119 60 61 102 103 81 68 69 104 89 76 77 112 84 85 120 92 93 128 113 100 101 121 108 109 116 117 124 125,2 67 12 6 8 10 83 14 16 18 99 28 22 24 26 115 30 32 34 91 44 38 40 42 75 46 48 50 123 60 54 56 58 107 62 64 66 84 70 72 74 92 78 80 82 86 88 90 94 96 98 116 102 104 106 124 110 112 114 118 120 122 126 128,33 3 5 7 16 41 11 13 15 49 19 21 23 32 57 27 29 31 35 37 39 48 43 45 47 51 53 55 64 59 61 63 89 67 69 71 88 81 75 77 79 96 83 85 87 91 93 95 121 99 101 103 120 113 107 109 111 128 115 117 119 123 125 127:3 6 4 6 4 3 6 6 3 4 4 3 3 3 3 3,6 5 6 6 5 6 5 5 5 5 5 5> {(1, 98): 'tau2', (0, 103): 't3^-1', (0, 6): 't3', (1, 123): 't2*tau1*t3^-1', (2, 112): 'tau3^-1*t1^-1*tau2', (0, 112): 't2^-1*tau1^-1*t3', (0, 95): 't2^-1', (2, 56): 't1', (1, 114): 'tau3^-1', (0, 79): 't3^-1', (0, 45): 't3^-1', (2, 16): 't1^-1', (2, 127): 't2*tau1*t3^-1', (1, 106): 'tau2^-1', (0, 88): 'tau1', (0, 5): 't3', (0, 14): 't2', (2, 87): 'tau1^-1', (1, 50): 'tau3^-1', (0, 38): 't2^-1', (0, 119): 't2^-1', (1, 91): 'tau1', (2, 120): 'tau3*t1*tau2^-1', (0, 13): 't2', (1, 115): 't2^-1*tau1^-1*t3', (2, 95): 'tau1', (0, 80): 'tau1^-1', (0, 120): 't2*tau1*t3^-1', (0, 37): 't2^-1', (0, 46): 't3^-1', (2, 119): 't2^-1*tau1^-1*t3', (1, 67): 'tau1', }