U-tiling: UQC4624
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1493 |
*222222 |
(4,5,2) |
{4,4,4,4} |
{5.5.5.5}{5.10.10.5}{5.10.5.10}{... |
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
|
False
|
|
sqc3860
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4} |
10 |
(4,5) |
|
G
|
False
|
|
sqc3859
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc497
|
|
Cmmm |
65 |
orthorhombic |
{4,4,4} |
5 |
(3,3) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.10.10.5}{5.10.5.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<69.2:80:21 3 5 7 9 30 31 13 15 17 19 40 23 25 27 29 33 35 37 39 71 43 45 47 49 80 61 53 55 57 59 70 63 65 67 69 73 75 77 79,2 4 25 8 17 10 12 14 35 18 20 22 24 28 37 30 32 34 38 40 42 44 75 48 67 50 52 54 65 58 77 60 62 64 68 70 72 74 78 80,41 52 53 6 7 58 59 50 61 72 73 16 17 78 79 70 71 62 63 26 27 68 69 80 51 42 43 36 37 48 49 60 46 47 56 57 66 67 76 77:5 10 5 5 10 5,4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2*tau3^-1', (2, 61): 't2', (2, 62): 't2', (2, 57): 't3^-1', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (2, 52): 't3^-1', (2, 48): 't3', (2, 50): 't3^-1*tau2^-1', (2, 51): 't3^-1', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 47): 't3', (2, 40): 't3*tau2', (2, 41): 't3', (2, 42): 't3', (2, 28): 't2^-1', (0, 30): 't1', (2, 58): 't3^-1', (2, 27): 't2^-1', (2, 20): 'tau3^-1*t2', (2, 17): 't2', (2, 18): 't2', (2, 12): 't2', (1, 74): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 76): 'tau1', (2, 11): 't2', (1, 64): 't2*tau3^-1*t1^-1*tau2*t3', (0, 0): 't1^-1', (1, 46): 'tau1', (1, 34): 't1', (1, 24): 't1'}