U-tiling: UQC3396
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc509 |
*2244 |
(3,3,2) |
{3,12,4} |
{6.4.6}{6.4.4.6.4.4.6.4.4.6.4.4}... |
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
|
|
sqc643
|
|
P4/mmm |
123 |
tetragonal |
{3,10} |
5 |
(2,3) |
|
G
|
False
|
|
sqc6369
|
|
I41/a |
88 |
tetragonal |
{3,12,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc6474
|
|
I41/amd |
141 |
tetragonal |
{3,12,4} |
12 |
(3,3) |
Topological data
| Vertex degrees | {3,12,4} |
| 2D vertex symbol | {6.4.6}{6.4.4.6.4.4.6.4.4.6.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<37.1:112:8 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 98 101 103 105 108 110 112,2 45 46 6 49 9 52 53 13 56 16 59 60 20 63 23 73 74 27 77 30 80 81 34 84 37 66 67 41 70 44 48 51 55 58 62 65 69 72 76 79 83 86 108 109 90 112 93 101 102 97 105 100 104 107 111,43 4 5 20 21 50 11 12 27 28 57 18 19 71 25 26 78 32 33 97 98 64 39 40 111 112 46 47 69 70 53 54 83 84 60 61 90 91 67 68 74 75 104 105 81 82 106 88 89 99 95 96 102 103 109 110:6 4 4 6 4 6 4 4 4 6 4 4,3 12 4 3 12 4 3 3 3 3 3 3> {(0, 56): 't3', (2, 63): 'tau3^-1*t2', (2, 56): 't3*tau2', (0, 63): 't2^-1', (2, 49): 't1', (1, 104): 't2*tau3^-1*t1^-1*tau2*t3', (1, 108): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 111): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 35): 't2^-1', (1, 101): 't2*tau3^-1*t1^-1*tau2*t3', (2, 28): 't3^-1*tau2^-1', (0, 28): 't3^-1', (2, 21): 'tau3*t2^-1', (1, 83): 'tau2*t3', (1, 73): 't2*tau3^-1', (1, 76): 't2*tau3^-1', (2, 0): 't1^-1', (1, 59): 't3*tau2', (1, 62): 't3*tau2', (1, 48): 't1', (1, 52): 't1', (1, 55): 't1', (1, 41): 't2^-1*tau3', (0, 105): 'tau1', (1, 45): 't1', (2, 105): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 98): 'tau1^-1', (2, 98): 't2*tau3^-1*t1^-1*tau2*t3', (1, 38): 't2^-1*tau3', (1, 80): 'tau2*t3'}