U-tiling: UQC4008
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1124 |
*222222 |
(3,5,2) |
{4,8,6} |
{5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4... |
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
|
True
|
|
sqc1520
|
|
Pmmm |
47 |
orthorhombic |
{3,7,5} |
6 |
(3,5) |
|
G
|
False
|
|
sqc2549
|
|
I212121 |
24 |
orthorhombic |
{4,8,6} |
6 |
(3,6) |
|
D
|
False
|
|
sqc243
|
|
P222 |
16 |
orthorhombic |
{4,8,6} |
3 |
(3,5) |
Topological data
| Vertex degrees | {4,8,6} |
| 2D vertex symbol | {5.5.5.5}{5.4.4.5.5.4.4.5}{5.4.4.5.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<39.1:72:10 3 5 7 26 27 12 14 16 35 36 28 21 23 25 30 32 34 46 39 41 43 62 63 48 50 52 71 72 64 57 59 61 66 68 70,2 4 14 8 9 11 13 17 18 20 22 32 26 27 29 31 35 36 38 40 50 44 45 47 49 53 54 56 58 68 62 63 65 67 71 72,19 38 39 6 7 17 45 28 47 48 15 16 54 56 57 24 25 35 63 65 66 33 34 72 55 42 43 53 64 51 52 60 61 71 69 70:5 4 4 5 5 4 4 5,4 8 6 4 8 6> {(2, 61): 't3*tau2', (2, 62): 'tau1*t3^-1', (2, 63): 't1^-1', (0, 62): 'tau1*t2', (0, 63): 't1^-1*tau3^-1*t2', (0, 61): 'tau1*t2', (2, 53): 'tau3^-1', (0, 52): 't2^-1*tau1^-1*t3*tau2', (0, 53): 't2^-1*tau1^-1*t3*tau2', (2, 44): 't2^-1', (2, 46): 't1', (2, 47): 't1', (0, 45): 'tau3^-1*t2', (0, 34): 'tau2^-1*t1', (0, 35): 'tau2^-1*t1', (2, 34): 'tau2^-1*t3^-1', (2, 35): 't3*tau1^-1*t2^-1*tau3*t1', (0, 26): 't3', (0, 25): 't3', (2, 16): 't1^-1', (1, 67): 't1^-1*tau3^-1*t2', (1, 49): 'tau3^-1*t2'}