U-tiling: UQC4221
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc104 |
2*44 |
(2,2,1) |
{4,12} |
{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
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
|
False
|
|
sqc94
|
|
I4/mmm |
139 |
tetragonal |
{12,4} |
2 |
(2,2) |
|
G
|
True
|
|
sqc70
|
xbs
|
P-43m |
215 |
cubic |
{10,4} |
2 |
(2,2) |
|
D
|
True
|
|
sqc870
|
crs-d
|
Fd-3m |
227 |
cubic |
{8,4} |
4 |
(2,2) |
Topological data
| Vertex degrees | {4,12,12,4} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:64:2 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 64,9 3 12 53 7 56 11 61 15 64 33 19 36 29 23 32 41 27 44 31 35 45 39 48 43 47 57 51 60 55 59 63,17 18 5 6 23 24 25 26 13 14 31 32 21 22 29 30 49 50 37 38 55 56 57 58 45 46 63 64 53 54 61 62:4 4 4 4 4 4 4 4,4 12 12 4> {(2, 62): 't3^-1*tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1*t3^-1', (2, 56): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 57): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 63): 't3^-1*tau2^-1*t1', (2, 16): 't2^-1', (2, 54): 't3^-1', (2, 55): 't3^-1', (2, 48): 'tau1^-1', (2, 49): 'tau1^-1', (2, 17): 't2^-1', (1, 40): 't3*tau2*t1^-1', (1, 43): 't3*tau2*t1^-1', (2, 31): 't1', (2, 30): 't1', (2, 24): 'tau3^-1', (1, 60): 't3^-1*tau2^-1*t1', (2, 25): 'tau3^-1'}