U-tiling: UQC23
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc6 |
*248 |
(1,1,1) |
{8} |
{4.4.4.4.4.4.4.4} |
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
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
|
G
|
False
|
|
sqc1801
|
|
Fddd |
70 |
orthorhombic |
{8} |
4 |
(1,3) |
|
D
|
False
|
|
sqc2
|
|
Pmmm |
47 |
orthorhombic |
{8} |
1 |
(1,3) |
Topological data
| Vertex degrees | {8} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.3:64:17 6 7 12 21 16 25 14 15 29 22 23 28 32 30 31 45 42 43 52 41 46 47 56 60 64 61 58 59 57 62 63,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64,33 3 40 41 7 48 49 11 56 57 15 64 45 19 44 37 23 36 61 27 60 53 31 52 35 39 43 47 51 55 59 63:4 4 4 4 4 4 4 4,8 8 8 8> {(0, 51): 't3^-1', (0, 41): 'tau1^-1', (0, 62): 't2*tau1*t3^-1', (2, 7): 't2', (0, 55): 't3', (0, 45): 'tau1', (0, 59): 't2^-1', (2, 28): 'tau2', (0, 63): 't2', (2, 24): 'tau3^-1', (0, 42): 'tau1^-1', (0, 56): 'tau3^-1*t1^-1*tau2', (0, 46): 'tau1', (0, 60): 'tau3*t1*tau2^-1', (2, 12): 'tau3', (0, 57): 't2^-1*tau1^-1*t3', (0, 24): 't1', (2, 8): 'tau2^-1', (2, 23): 't3^-1', (0, 61): 't2*tau1*t3^-1', (0, 28): 't1', (2, 19): 't2^-1', (2, 39): 't3^-1', (0, 58): 't2^-1*tau1^-1*t3', }