U-tiling: UQC21
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
|
|
sqc464
|
fee
|
P4/mmm |
123 |
tetragonal |
{5} |
4 |
(1,3) |
|
G
|
False
|
|
sqc1624
|
|
I4122 |
98 |
tetragonal |
{8} |
4 |
(1,3) |
|
D
|
False
|
|
sqc90
|
|
P42/mmc |
131 |
tetragonal |
{8} |
2 |
(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
<1.2:64:37 10 11 8 29 14 15 45 16 41 53 26 27 32 49 34 35 40 61 44 42 43 57 48 46 47 58 59 56 62 63 64,2 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 64,17 3 12 21 7 16 25 11 33 15 19 28 23 36 27 49 31 44 35 53 39 48 57 43 61 47 51 60 55 64 59 63:4 4 4 4 4 4 4 4,8 8 8 8> {(0, 57): 't1*tau3*t2^-1', (2, 47): 'tau3^-1*t2', (0, 62): 'tau2^-1*t3^-1', (0, 55): 'tau1', (2, 43): 'tau2*t3', (0, 34): 'tau3*t2^-1', (0, 26): 'tau2^-1*t3^-1', (2, 32): 't1^-1', (0, 19): 't3', (2, 15): 't1', (0, 63): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 44): 't1', (0, 2): 't1', (0, 56): 't1', (0, 39): 't2^-1', (0, 53): 't3*tau2', (0, 43): 'tau2', (2, 63): 't1^-1*tau3^-1*t2', (0, 47): 'tau3^-1', (0, 17): 't3*tau2', (2, 59): 'tau2*t3', (0, 9): 't1^-1', (0, 21): 't2*tau3^-1', (0, 44): 't1', (0, 15): 't1', (0, 58): 't1*tau3*t2^-1', }