U-tiling: UQC5232
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1546 |
*4444 |
(5,4,2) |
{4,3,12,8,4} |
{4.4.4.4}{4.6.4}{4.6.6.4.6.6.4.6... |
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
|
|
sqc2573
|
|
P4/mmm |
123 |
tetragonal |
{4,3,10,6,4} |
8 |
(5,4) |
|
G
|
False
|
|
sqc3315
|
|
I-4m2 |
119 |
tetragonal |
{4,3,12,8,4} |
8 |
(5,4) |
|
D
|
False
|
|
sqc3309
|
|
I-4m2 |
119 |
tetragonal |
{4,3,12,8,4} |
8 |
(5,4) |
Topological data
| Vertex degrees | {4,3,12,8,4} |
| 2D vertex symbol | {4.4.4.4}{4.6.4}{4.6.6.4.6.6.4.6.6.4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<25.2:80:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80,21 3 24 15 7 9 20 31 13 34 17 19 23 45 27 29 50 33 55 37 39 60 61 43 64 47 49 71 53 74 57 59 63 75 67 69 80 73 77 79,11 12 5 6 67 68 29 30 15 16 77 78 39 40 41 42 25 26 37 38 51 52 35 36 45 46 57 58 69 70 55 56 79 80 71 72 65 66 75 76:4 6 4 6 6 4 4 6,4 3 12 8 4 3 3 3> {(2, 28): 't2^-1', (2, 29): 't2^-1', (1, 59): 't3*tau2*t1^-1', (1, 60): 't3^-1', (2, 58): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 59): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 16): 't1^-1*tau2*t3', (1, 54): 't3*tau2*t1^-1', (2, 48): 'tau1', (2, 49): 'tau1', (2, 50): 't3*tau2*t1^-1', (2, 51): 't3*tau2*t1^-1', (1, 73): 't3^-1*tau2^-1*t3^-1', (1, 10): 't1^-1', (1, 33): 't1', (2, 38): 'tau3^-1', (2, 39): 'tau3^-1', (1, 63): 't3^-1', (2, 17): 't1^-1*tau2*t3', (1, 70): 't3^-1*tau2^-1*t3^-1'}