U-tiling: UQC1005
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc740 |
*2244 |
(2,4,3) |
{20,3} |
{4.4.3.3.4.4.4.3.3.4.4.4.3.3.4.4... |
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
|
|
sqc986
|
|
P4/mmm |
123 |
tetragonal |
{3,14} |
5 |
(2,4) |
|
G
|
False
|
|
sqc7402
|
|
I41/a |
88 |
tetragonal |
{20,3} |
10 |
(2,5) |
|
D
|
True
|
|
sqc6244
|
|
I41/amd |
141 |
tetragonal |
{16,3} |
10 |
(2,4) |
Topological data
| Vertex degrees | {20,3} |
| 2D vertex symbol | {4.4.3.3.4.4.4.3.3.4.4.4.3.3.4.4.4.3.3.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.1:128:9 4 5 54 55 56 12 13 62 63 64 33 20 21 70 71 72 41 28 29 86 87 88 36 37 94 95 96 44 45 78 79 80 57 52 53 60 61 89 68 69 81 76 77 84 85 92 93 113 100 101 126 127 128 121 108 109 118 119 120 116 117 124 125,2 7 12 6 24 10 15 14 32 18 23 36 22 26 31 44 30 34 39 38 112 42 47 46 128 50 55 60 54 80 58 63 62 96 66 71 92 70 104 74 79 84 78 82 87 86 120 90 95 94 98 103 116 102 106 111 124 110 114 119 118 122 127 126,49 3 5 14 8 57 11 13 16 65 19 21 38 24 81 27 29 46 32 89 35 37 40 73 43 45 48 51 53 62 56 59 61 64 67 69 94 72 75 77 86 80 83 85 88 91 93 96 121 99 101 118 104 113 107 109 126 112 115 117 120 123 125 128:3 4 4 4 4 3 4 3 4 4 4 3 3 3 3 4 3 4,20 3 20 3 3 3 3 3 3 3> {(0, 39): 't3^-1*tau2^-1', (0, 80): 't2', (0, 29): 'tau3*t2^-1', (0, 6): 't1^-1', (2, 117): 'tau1^-1', (0, 126): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 31): 'tau3*t2^-1', (1, 91): 't3^-1', (0, 53): 't1', (0, 62): 't1', (2, 45): 't2^-1', (0, 125): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 27): 't2', (0, 55): 't1', (0, 32): 't3^-1', (0, 45): 't2^-1*tau3', (0, 22): 'tau2^-1*t3^-1', (0, 112): 'tau1^-1', (0, 88): 't3^-1', (0, 47): 't2^-1*tau3', (0, 118): 't2*tau3^-1*t1^-1*tau2*t3', (1, 75): 't2^-1', (2, 125): 'tau1', (1, 35): 't3^-1', (0, 119): 't2*tau3^-1*t1^-1*tau2*t3', (0, 61): 't1', (0, 38): 't3^-1*tau2^-1', (2, 85): 't2', (0, 63): 't1', (0, 40): 't2^-1', (0, 21): 'tau2^-1*t3^-1', (0, 30): 'tau3*t2^-1', (0, 23): 'tau2^-1*t3^-1', (0, 127): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 115): 'tau1^-1', (2, 37): 't3^-1', (0, 46): 't2^-1*tau3', (0, 120): 'tau1', (0, 37): 't3^-1*tau2^-1', (1, 107): 'tau1^-1', (2, 93): 't3^-1', (0, 117): 't2*tau3^-1*t1^-1*tau2*t3', }