U-tiling: UQC3752
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc823 |
*222222 |
(3,4,2) |
{4,4,4} |
{6.10.10.6}{6.10.6.10}{10.10.10.10} |
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
|
True
|
|
sqc1544
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3} |
8 |
(3,4) |
|
G
|
False
|
|
sqc1965
|
|
I212121 |
24 |
orthorhombic |
{4,4,4} |
8 |
(3,5) |
|
D
|
False
|
|
sqc186
|
|
P222 |
16 |
orthorhombic |
{4,4,4} |
4 |
(3,4) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {6.10.10.6}{6.10.6.10}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.1:64:9 3 5 7 16 11 13 15 25 19 21 23 32 27 29 31 41 35 37 39 48 43 45 47 57 51 53 55 64 59 61 63,2 35 6 21 8 10 43 14 29 16 18 51 22 24 26 59 30 32 34 38 53 40 42 46 61 48 50 54 56 58 62 64,17 4 5 22 23 40 25 12 13 30 31 48 20 21 56 28 29 64 49 36 37 54 55 57 44 45 62 63 52 53 60 61:6 10 6 10,4 4 4 4 4 4 4 4> {(2, 61): 't1^-1', (0, 56): 't1^-1*tau3^-1*t2', (1, 58): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 56): 't1^-1', (0, 63): 'tau2^-1*t3^-1', (1, 28): 'tau2^-1*t1', (1, 50): 'tau1*t3^-1', (2, 62): 't1^-1', (1, 52): 'tau1*t2', (1, 20): 't3', (1, 42): 'tau3^-1', (2, 47): 't1', (0, 15): 't1^-1', (0, 32): 't2^-1*tau3', (1, 34): 't2^-1', (1, 60): 'tau2^-1*t3^-1*tau1*t2', (0, 31): 'tau2^-1*t3^-1'}