U-tiling: UQC5243
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1553 |
*4444 |
(5,4,2) |
{4,3,3,8,4} |
{4.4.4.4}{4.24.4}{4.24.24}{24.24... |
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) |
|
G
|
False
|
|
sqc3330
|
|
I-4m2 |
119 |
tetragonal |
{4,3,3,8,4} |
11 |
(5,4) |
|
D
|
False
|
|
sqc3328
|
|
I-4m2 |
119 |
tetragonal |
{4,3,3,8,4} |
11 |
(5,4) |
Topological data
| Vertex degrees | {4,3,3,8,4} |
| 2D vertex symbol | {4.4.4.4}{4.24.4}{4.24.24}{24.24.24.24.24.24.24.24}{24.24.24.24} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.1:80:2 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 80,11 3 14 25 7 9 70 13 35 17 19 80 41 23 44 27 29 40 51 33 54 37 39 43 65 47 49 60 53 75 57 59 71 63 74 67 69 73 77 79,21 22 5 6 17 18 29 30 31 32 15 16 39 40 25 26 47 48 35 36 57 58 61 62 45 46 69 70 71 72 55 56 79 80 65 66 77 78 75 76:4 24 4 4 4,4 3 3 8 4 3 3 3 3 3 3> {(2, 60): 'tau1^-1', (2, 61): 'tau1^-1', (2, 56): 't3*tau2*t1^-1', (2, 57): 't3*tau2*t1^-1', (2, 58): 't3*tau2*t3', (2, 59): 't3*tau2*t3', (2, 48): 't3', (2, 49): 't3', (2, 50): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 51): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 38): 't1', (2, 39): 't1', (2, 30): 'tau3^-1', (2, 31): 'tau3^-1', (2, 20): 't2^-1', (2, 21): 't2^-1', (1, 74): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 79): 't3^-1*tau2^-1*t1', (1, 64): 'tau1^-1', (1, 50): 't3*tau2*t1^-1', (1, 53): 't3*tau2*t1^-1', (1, 34): 'tau3^-1', (1, 24): 't2^-1'}