U-tiling: UQC106
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc96 |
*2244 |
(2,1,2) |
{4,8} |
{4.8.4.8}{4.8.4.8.4.8.4.8} |
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
|
|
sqc170
|
scu
|
P4/mmm |
123 |
tetragonal |
{4,8} |
3 |
(2,1) |
|
G
|
False
|
|
sqc1990
|
|
I41/a |
88 |
tetragonal |
{4,8} |
6 |
(2,2) |
|
D
|
False
|
|
sqc1973
|
sqc
|
I41/amd |
141 |
tetragonal |
{4,8} |
6 |
(2,1) |
Topological data
| Vertex degrees | {4,8} |
| 2D vertex symbol | {4.8.4.8}{4.8.4.8.4.8.4.8} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:64:2 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 64,5 26 27 12 30 31 16 17 34 35 21 42 43 46 47 56 38 39 64 29 40 48 45 52 41 60 57 62 63 61 58 59,3 4 7 8 11 12 15 16 19 20 23 24 27 28 31 32 35 36 39 40 43 44 47 48 51 52 55 56 59 60 63 64:4 8 8 4 4 4,4 8 8 4 4 4> {(1, 57): 't2*tau3^-1*t1^-1*tau2*t3', (1, 56): 'tau1^-1', (1, 61): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 60): 'tau1', (1, 25): 't1', (1, 20): 't2^-1', (1, 41): 't2*tau3^-1', (1, 40): 't2', (1, 45): 'tau2*t3', (1, 44): 't3^-1', (1, 16): 't3^-1', (1, 33): 't3*tau2', (1, 29): 't1', (1, 37): 'tau3^-1*t2'}