U-tiling: UQC4042
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1131 |
*222222 |
(3,5,2) |
{4,4,6} |
{10.10.10.10}{10.4.4.10}{10.4.4.... |
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
|
|
sqc271
|
|
Pmmm |
47 |
orthorhombic |
{4,6,4} |
4 |
(3,5) |
|
G
|
False
|
|
sqc2839
|
|
C2/c |
15 |
monoclinic |
{4,4,6} |
8 |
(3,6) |
|
D
|
False
|
|
sqc2695
|
|
Imma |
74 |
orthorhombic |
{4,4,6} |
8 |
(3,5) |
Topological data
| Vertex degrees | {4,4,6} |
| 2D vertex symbol | {10.10.10.10}{10.4.4.10}{10.4.4.10.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.1:72:10 3 5 7 53 54 12 14 16 71 72 28 21 23 25 62 63 30 32 34 44 45 55 39 41 43 64 48 50 52 57 59 61 66 68 70,2 4 23 8 9 11 13 32 17 18 20 22 26 27 29 31 35 36 38 40 68 44 45 47 49 59 53 54 56 58 62 63 65 67 71 72,19 38 39 6 7 44 45 28 56 57 15 16 62 63 65 66 24 25 71 72 47 48 33 34 53 54 64 42 43 55 51 52 60 61 69 70:10 4 4 4 4 10,4 4 6 4 4 6 4 4> {(2, 61): 't2*tau3^-1', (2, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 62): 't2', (0, 63): 'tau1', (0, 61): 't2', (2, 52): 't3^-1*tau2^-1', (2, 54): 't2*tau3^-1*t1^-1*tau2*t3', (2, 55): 't2*tau3^-1', (0, 54): 'tau1^-1', (0, 52): 't3^-1', (0, 53): 't3^-1', (0, 43): 't3', (2, 47): 't3^-1*tau2^-1', (0, 44): 't3', (2, 56): 't2*tau3^-1', (2, 38): 't3*tau2', (2, 28): 'tau2*t3', (2, 25): 'tau3^-1*t2', (2, 27): 't1', (2, 20): 'tau3^-1*t2', (0, 16): 't2', (0, 17): 't2', (2, 18): 't1', (2, 19): 'tau3^-1*t2', (2, 7): 'tau2^-1*t3^-1', (2, 1): 'tau2^-1*t3^-1'}