U-tiling: UQC912
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc670 |
*22222 |
(2,4,3) |
{10,3} |
{4.4.4.4.4.4.4.4.4.4}{4.4.4} |
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
|
|
sqc5688
|
|
P4/mmm |
123 |
tetragonal |
{3,7} |
12 |
(2,4) |
|
G
|
False
|
|
sqc7408
|
|
I4122 |
98 |
tetragonal |
{3,10} |
12 |
(2,5) |
|
D
|
False
|
|
sqc1589
|
|
P4222 |
93 |
tetragonal |
{3,10} |
6 |
(2,4) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<31.5:128:17 4 5 22 23 40 25 12 13 30 31 48 20 21 56 28 29 72 49 36 37 54 55 65 44 45 70 71 52 53 81 60 61 86 87 104 68 69 89 76 77 94 95 112 84 85 120 92 93 128 113 100 101 118 119 121 108 109 126 127 116 117 124 125,2 11 6 21 8 10 14 29 16 18 27 22 24 26 30 32 34 59 38 53 40 42 75 46 69 48 50 83 54 56 58 62 85 64 66 91 70 72 74 78 93 80 82 86 88 90 94 96 98 107 102 117 104 106 110 125 112 114 123 118 120 122 126 128,9 3 5 7 80 11 13 15 64 25 19 21 23 96 27 29 31 88 57 35 37 39 112 73 43 45 47 104 81 51 53 55 128 59 61 63 89 67 69 71 120 75 77 79 83 85 87 91 93 95 105 99 101 103 107 109 111 121 115 117 119 123 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 10 10 3 3 10 3 10 3 3 3 3> {(0, 93): 'tau3^-1*t2', (0, 29): 't1', (2, 56): 't3^-1', (0, 118): 'tau2*t3', (2, 112): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 44): 't2*tau3^-1', (0, 31): 't1', (2, 88): 'tau3^-1', (0, 117): 'tau2*t3', (0, 62): 't3^-1*tau2^-1', (0, 125): 't1^-1*tau3^-1*t2', (2, 71): 't1^-1', (2, 96): 'tau1^-1', (1, 124): 'tau2^-1*t3^-1', (0, 120): 't1^-1*tau3^-1*t2', (1, 106): 'tau1', (0, 24): 't1', (0, 14): 't1^-1', (0, 88): 'tau3^-1*t2', (2, 23): 't1^-1', (0, 94): 'tau3^-1*t2', (1, 66): 'tau3', (0, 112): 'tau2*t3', (0, 61): 't3^-1*tau2^-1', (0, 110): 't2^-1*tau3*t1', (1, 18): 't1^-1', (1, 122): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 95): 't1', (2, 24): 't1', (1, 100): 't2*tau3^-1*t1^-1', (1, 82): 'tau2', (1, 58): 't3^-1', (2, 48): 'tau2^-1', (1, 20): 't1^-1', (1, 74): 't2^-1', (0, 56): 't3^-1*tau2^-1', (2, 40): 't2', (1, 52): 'tau2^-1*t3^-1', }