U-tiling: UQC1813
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1347 |
*222222 |
(2,5,4) |
{10,5} |
{4.3.6.3.4.4.3.6.3.4}{3.6.4.4.6} |
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
|
|
sqc2612
|
|
Cmma |
67 |
orthorhombic |
{5,8} |
6 |
(2,5) |
|
G
|
False
|
|
sqc3292
|
|
Ibam |
72 |
orthorhombic |
{5,10} |
6 |
(2,6) |
|
D
|
False
|
|
sqc3294
|
|
Imma |
74 |
orthorhombic |
{5,10} |
6 |
(2,5) |
Topological data
| Vertex degrees | {10,5} |
| 2D vertex symbol | {4.3.6.3.4.4.3.6.3.4}{3.6.4.4.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<66.1:80:21 42 43 6 7 18 19 30 31 62 63 16 17 40 72 73 26 27 38 39 52 53 36 37 71 46 47 68 69 80 61 56 57 78 79 70 66 67 76 77,2 4 15 56 8 10 12 14 76 18 20 22 24 35 66 28 30 32 34 46 38 40 42 44 65 48 50 52 54 75 58 60 62 64 68 70 72 74 78 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 79:4 6 3 4 4 6 3 3 4 3,5 10 10 5 5 5> {(0, 51): 't3^-1*tau2^-1', (0, 41): 't3*tau2', (0, 62): 't2*tau3^-1', (0, 22): 'tau3^-1*t2', (1, 64): 'tau1^-1', (0, 48): 'tau1', (1, 55): 't3^-1', (1, 45): 't3', (0, 30): 't1', (2, 50): 'tau1^-1', (0, 42): 't3*tau2', (2, 40): 'tau1', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (0, 20): 't1', (0, 32): 'tau2*t3', (0, 57): 'tau1^-1', (0, 47): 'tau1', (1, 75): 't2^-1', (0, 61): 't2*tau3^-1', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (0, 21): 'tau3^-1*t2', (1, 74): 'tau1', (1, 65): 't2', (0, 58): 'tau1^-1', }