U-tiling: UQC2713
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2131 |
*222222 |
(2,6,5) |
{5,6} |
{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
|
|
sqc5617
|
|
P4/mmm |
123 |
tetragonal |
{5,5} |
10 |
(2,5) |
|
G
|
False
|
|
sqc5830
|
|
I212121 |
24 |
orthorhombic |
{6,5,5} |
10 |
(3,7) |
|
D
|
False
|
|
sqc1111
|
|
P222 |
16 |
orthorhombic |
{5,6} |
5 |
(2,6) |
Topological data
| Vertex degrees | {6,5} |
| 2D vertex symbol | {4.4.6.4.4}{6.4.4.6.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.1:104:27 4 5 32 33 60 61 23 24 38 39 40 17 18 45 46 73 74 51 52 30 31 86 87 49 50 43 44 99 100 79 56 57 84 85 75 76 90 91 92 69 70 97 98 103 104 82 83 101 102 95 96,2 55 6 13 8 10 12 15 68 19 26 21 23 25 28 81 32 39 34 36 38 41 94 45 52 47 49 51 54 58 65 60 62 64 67 71 78 73 75 77 80 84 91 86 88 90 93 97 104 99 101 103,14 3 5 7 9 11 13 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 66 55 57 59 61 63 65 68 70 72 74 76 78 92 81 83 85 87 89 91 94 96 98 100 102 104:4 6 4 4 4 4 6 4 4 4 4 4,6 5 5 6 5 5 5 5 5 5> {(0, 103): 'tau2^-1*t3^-1*tau1*t2', (0, 51): 'tau2^-1*t1', (0, 96): 't1^-1', (0, 22): 't1^-1', (0, 100): 'tau2^-1*t3^-1', (0, 71): 't1', (0, 48): 'tau2^-1*t3^-1', (0, 38): 't3', (0, 63): 't2^-1*tau1^-1', (0, 23): 't1^-1', (1, 41): 't3*tau1^-1*t2^-1*tau3*t1', (1, 28): 't3*tau1^-1', (0, 101): 'tau2^-1*t3^-1', (0, 49): 'tau2^-1*t3^-1', (1, 67): 'tau3^-1', (1, 54): 't2^-1', (2, 78): 't2^-1*tau3*t1', (0, 20): 't1^-1', (0, 24): 't1^-1*tau2', (0, 90): 'tau1*t2', (0, 102): 'tau2^-1*t3^-1*tau1*t2', (2, 52): 't2^-1*tau3', (0, 21): 't1^-1', (0, 37): 't3', (0, 91): 't1^-1', }