U-tiling: UQC3634
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc795 |
*22222 |
(3,4,2) |
{6,3,4} |
{3.10.3.3.10.3}{3.10.10}{10.10.1... |
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
|
|
sqc7188
|
|
P4/mmm |
123 |
tetragonal |
{6,3,3} |
16 |
(3,4) |
|
G
|
False
|
|
sqc7772
|
|
I4122 |
98 |
tetragonal |
{6,3,4} |
16 |
(3,5) |
|
D
|
False
|
|
sqc1759
|
|
P4222 |
93 |
tetragonal |
{3,6,4} |
8 |
(3,4) |
Topological data
| Vertex degrees | {6,3,4} |
| 2D vertex symbol | {3.10.3.3.10.3}{3.10.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.4:128:17 3 5 7 40 25 11 13 15 48 19 21 23 56 27 29 31 72 49 35 37 39 65 43 45 47 51 53 55 81 59 61 63 104 67 69 71 89 75 77 79 112 83 85 87 120 91 93 95 128 113 99 101 103 121 107 109 111 115 117 119 123 125 127,2 19 20 6 8 10 27 28 14 16 18 22 24 26 30 32 34 51 52 38 40 42 67 68 46 48 50 54 56 58 83 84 62 64 66 70 72 74 91 92 78 80 82 86 88 90 94 96 98 115 116 102 104 106 123 124 110 112 114 118 120 122 126 128,9 4 5 22 23 80 12 13 30 31 64 25 20 21 96 28 29 88 57 36 37 54 55 112 73 44 45 70 71 104 81 52 53 128 60 61 86 87 89 68 69 120 76 77 94 95 84 85 92 93 105 100 101 118 119 108 109 126 127 121 116 117 124 125:3 10 3 10 3 3 3 10 3 10 3 3,6 3 4 3 4 6 3 4 6 3 4 3 3 6 3 3> {(1, 123): 't1^-1*tau3^-1*t2', (1, 122): 'tau2^-1*t3^-1', (2, 56): 't3^-1', (2, 53): 'tau2^-1*t3^-1', (2, 54): 'tau2^-1*t3^-1', (1, 114): 't1*tau3*t2^-1', (2, 48): 'tau2^-1', (0, 120): 'tau2^-1*t3^-1', (2, 45): 't2*tau3^-1', (2, 46): 't2*tau3^-1', (2, 40): 't2', (1, 99): 't3^-1*tau2^-1', (0, 32): 't3*tau2', (1, 91): 'tau3^-1*t2', (2, 24): 't1', (0, 31): 't1', (2, 21): 't1^-1', (0, 16): 't1^-1', (2, 23): 't1^-1', (1, 66): 'tau3*t2^-1', (2, 125): 'tau2^-1*t3^-1', (1, 59): 't3^-1*tau2^-1', (2, 120): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 127): 't1^-1', (2, 117): 't1*tau3*t2^-1', (2, 118): 't1*tau3*t2^-1', (1, 50): 'tau2^-1*t3^-1', (2, 104): 'tau1', (2, 126): 'tau2^-1*t3^-1', (0, 96): 't2*tau3^-1*t1^-1', (1, 27): 't1', (2, 88): 'tau3^-1', (1, 18): 't1^-1', (0, 40): 't2*tau3^-1', (2, 71): 't1^-1', (2, 22): 't1^-1'}