U-tiling: UQC4220
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
|
True
|
|
sqc8
|
bct
|
I4/mmm |
139 |
tetragonal |
{10} |
1 |
(1,2) |
|
G
|
True
|
|
sqc70
|
xbs
|
P-43m |
215 |
cubic |
{10,4} |
2 |
(2,2) |
|
D
|
True
|
|
sqc874
|
|
I41/amd |
141 |
tetragonal |
{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
<16.2:64:2 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 20 21 7 24 25 11 28 29 15 32 19 23 27 31 49 35 52 53 39 56 57 43 60 61 47 64 51 55 59 63,9 10 5 6 55 56 13 14 63 64 33 34 21 22 31 32 41 42 29 30 37 38 47 48 45 46 57 58 53 54 61 62:4 4 4 4 4 4 4 4,4 12 12 4> {(1, 56): 't3^-1*tau2^-1*t3^-1', (2, 62): 't3^-1*tau2^-1*t1', (2, 63): 't3^-1*tau2^-1*t1', (1, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 63): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 24): 't1', (1, 48): 't3^-1', (1, 51): 't3^-1', (1, 23): 't2^-1', (1, 59): 't3^-1*tau2^-1*t3^-1', (1, 55): 'tau1^-1', (1, 52): 'tau1^-1', (2, 40): 't3*tau2*t1^-1', (2, 41): 't3*tau2*t1^-1', (1, 20): 't2^-1', (1, 31): 'tau3^-1', (1, 27): 't1', (1, 28): 'tau3^-1'}