U-tiling: UQC420
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
|
False
|
|
sqc1712
|
|
P42/nnm |
134 |
tetragonal |
{8} |
4 |
(1,3) |
|
G
|
False
|
|
sqc1649
|
|
Ia-3 |
206 |
cubic |
{8} |
4 |
(1,2) |
|
D
|
False
|
|
sqc1679
|
|
I41/amd |
141 |
tetragonal |
{8} |
4 |
(1,3) |
Topological data
| Vertex degrees | {8,8} |
| 2D vertex symbol | {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
<14.2:64:17 3 5 38 39 24 25 11 13 54 55 32 19 21 62 63 27 29 46 47 57 35 37 64 49 43 45 56 51 53 59 61,2 8 6 7 10 16 14 15 18 24 22 23 26 32 30 31 34 40 38 39 42 48 46 47 50 56 54 55 58 64 62 63,33 4 5 46 23 16 49 12 13 62 31 57 20 21 54 32 41 28 29 38 36 37 63 56 44 45 55 64 52 53 60 61:4 4 4 4 4 4 4 4,8 8 8 8> {(2, 61): 't2^-1', (0, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 63): 'tau1', (2, 56): 't2^-1*tau3', (0, 63): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 53): 't2', (0, 48): 't2*tau3^-1*t1^-1*tau2*t3', (2, 55): 'tau1^-1', (2, 48): 't2*tau3^-1', (0, 55): 't2*tau3^-1*t1^-1*tau2*t3', (0, 23): 't1', (2, 45): 't3^-1', (0, 24): 't1', (2, 40): 't3^-1*tau2^-1', (2, 37): 't3', (2, 32): 't3*tau2', (0, 16): 't1', (0, 31): 't1'}