U-tiling: UQC4621
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
|
|
sqc3267
|
|
Cmma |
67 |
orthorhombic |
{4,4,4,4} |
10 |
(4,5) |
|
G
|
False
|
|
sqc3693
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
10 |
(4,6) |
|
D
|
False
|
|
sqc3694
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4} |
10 |
(4,5) |
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
<69.1:80:11 3 5 7 9 50 13 15 17 19 70 31 23 25 27 29 80 33 35 37 39 60 61 43 45 47 49 71 53 55 57 59 63 65 67 69 73 75 77 79,2 4 15 8 27 10 12 14 18 37 20 22 24 35 28 30 32 34 38 40 42 44 65 48 77 50 52 54 75 58 67 60 62 64 68 70 72 74 78 80,21 42 43 6 7 48 49 60 31 62 63 16 17 68 69 80 72 73 26 27 78 79 70 52 53 36 37 58 59 50 71 46 47 61 56 57 66 67 76 77:5 10 10 5 5 5,4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2*tau3^-1*t1^-1*tau2*t3', (2, 61): 't2*tau3^-1', (2, 62): 't2*tau3^-1', (2, 57): 't3^-1*tau2^-1', (0, 60): 'tau1^-1', (2, 59): 't3^-1', (0, 50): 'tau1^-1', (2, 48): 't3*tau2', (2, 49): 't3', (2, 51): 't3^-1*tau2^-1', (2, 47): 't3*tau2', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 41): 't3*tau2', (2, 42): 't3*tau2', (2, 38): 'tau2*t3', (2, 32): 'tau2*t3', (2, 28): 'tau3^-1*t2', (2, 29): 't2^-1', (2, 30): 't1', (2, 27): 'tau3^-1*t2', (2, 20): 't1', (2, 21): 'tau3^-1*t2', (2, 22): 'tau3^-1*t2', (2, 17): 'tau3*t2^-1', (2, 18): 'tau3*t2^-1', (2, 19): 't2', (1, 74): 'tau1', (1, 64): 'tau1^-1'}