U-tiling: UQC582
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc385 |
*2244 |
(2,3,3) |
{16,6} |
{4.3.3.3.4.3.3.3.4.3.3.3.4.3.3.3... |
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
|
|
sqc592
|
|
P4/mmm |
123 |
tetragonal |
{6,10} |
3 |
(2,3) |
|
G
|
False
|
|
sqc6229
|
|
I41/a |
88 |
tetragonal |
{6,16} |
6 |
(2,4) |
|
D
|
True
|
|
sqc4776
|
|
I41/amd |
141 |
tetragonal |
{6,12} |
6 |
(2,3) |
Topological data
| Vertex degrees | {16,6} |
| 2D vertex symbol | {4.3.3.3.4.3.3.3.4.3.3.3.4.3.3.3}{3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.1:112:43 4 5 48 49 50 11 12 55 56 57 18 19 62 63 71 25 26 76 77 78 32 33 83 84 64 39 40 69 70 46 47 53 54 60 61 67 68 74 75 81 82 106 88 89 111 112 99 95 96 104 105 102 103 109 110,2 45 46 6 21 9 52 53 13 28 16 59 60 20 23 73 74 27 30 80 81 34 98 37 66 67 41 112 44 48 70 51 55 84 58 62 91 65 69 72 76 105 79 83 86 108 109 90 93 101 102 97 100 104 107 111,8 3 5 7 10 12 14 29 17 19 21 36 24 26 28 31 33 35 38 40 42 50 45 47 49 52 54 56 78 59 61 63 71 66 68 70 73 75 77 80 82 84 99 87 89 91 106 94 96 98 101 103 105 108 110 112:3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3,6 16 16 6 6 6> {(1, 108): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 56): 't3', (0, 84): 't3*tau2*t1^-1*tau3^-1*t2', (1, 73): 't2*tau3^-1', (2, 105): 'tau1', (2, 98): 'tau1^-1', (2, 28): 't3^-1', (0, 63): 'tau3^-1*t2', (1, 45): 't1', (0, 42): 't1', (0, 56): 't3*tau2', (0, 49): 't1', (1, 59): 't3*tau2', (1, 101): 't2*tau3^-1*t1^-1*tau2*t3', (2, 63): 't2^-1', (0, 98): 't2*tau3^-1*t1^-1*tau2*t3', (0, 28): 't3^-1*tau2^-1', (1, 80): 'tau2*t3', (1, 38): 't2^-1*tau3', (2, 35): 't2^-1', (0, 21): 'tau3*t2^-1', (1, 52): 't1', }