U-tiling: UQC721
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc609 |
*22222 |
(2,4,3) |
{10,6} |
{4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} |
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
|
|
sqc5670
|
|
P4/mmm |
123 |
tetragonal |
{6,7} |
8 |
(2,4) |
|
G
|
False
|
|
sqc7405
|
|
I4122 |
98 |
tetragonal |
{6,10} |
8 |
(2,5) |
|
D
|
False
|
|
sqc1586
|
|
P4222 |
93 |
tetragonal |
{6,10} |
4 |
(2,4) |
Topological data
| Vertex degrees | {10,6} |
| 2D vertex symbol | {4.3.3.3.4.4.3.3.3.4}{3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.5:128:17 4 5 22 23 80 25 12 13 30 31 64 20 21 96 28 29 88 49 36 37 54 55 112 65 44 45 70 71 104 52 53 128 81 60 61 86 87 68 69 120 89 76 77 94 95 84 85 92 93 113 100 101 118 119 121 108 109 126 127 116 117 124 125,2 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 3 5 7 40 11 13 15 48 25 19 21 23 56 27 29 31 72 57 35 37 39 73 43 45 47 81 51 53 55 59 61 63 104 89 67 69 71 75 77 79 112 83 85 87 120 91 93 95 128 105 99 101 103 107 109 111 121 115 117 119 123 125 127:3 3 4 3 3 4 3 3 4 3 3 4 3 3 3 3 3 3 3 3,6 10 10 6 6 10 10 6> {(0, 71): 't1^-1', (2, 40): 't2', (1, 123): 't1^-1*tau3^-1*t2', (0, 118): 't1*tau3*t2^-1', (2, 112): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 112): 'tau2*t3', (0, 53): 'tau2^-1*t3^-1', (2, 56): 't3^-1', (1, 114): 't1*tau3*t2^-1', (0, 45): 't2*tau3^-1', (2, 16): 't1^-1', (2, 127): 't1^-1', (0, 120): 't1^-1*tau3^-1*t2', (0, 24): 't1', (1, 75): 't2^-1*tau3', (0, 88): 'tau3^-1*t2', (1, 66): 'tau3*t2^-1', (1, 50): 'tau2^-1*t3^-1', (0, 125): 'tau2^-1*t3^-1', (0, 38): 't3*tau2', (1, 11): 't1^-1', (1, 122): 'tau2^-1*t3^-1', (0, 110): 't3*tau2', (0, 21): 't1^-1', (0, 22): 't1^-1', (2, 96): 'tau1^-1', (0, 23): 't1^-1', (1, 18): 't1^-1', (1, 59): 't3^-1*tau2^-1', (1, 115): 'tau2*t3', (2, 64): 'tau3', (2, 31): 't1', (0, 56): 't3^-1*tau2^-1', (0, 46): 't2*tau3^-1', (0, 117): 't1*tau3*t2^-1', (2, 48): 'tau2^-1', }