U-tiling: UQC867
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc645 |
*222222 |
(2,4,3) |
{12,4} |
{4.6.3.3.6.4.4.6.3.3.6.4}{6.3.6.3} |
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
|
|
sqc43
|
|
P4/mmm |
123 |
tetragonal |
{10,4} |
2 |
(2,3) |
|
G
|
False
|
|
sqc1602
|
|
C2/c |
15 |
monoclinic |
{12,4} |
4 |
(2,5) |
|
D
|
False
|
|
sqc96
|
|
Cmmm |
65 |
orthorhombic |
{4,12} |
2 |
(2,4) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.6.3.3.6.4.4.6.3.3.6.4}{6.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.2:64:33 42 43 6 7 24 49 58 59 14 15 32 57 50 51 22 23 41 34 35 30 31 38 39 64 46 47 56 54 55 62 63,2 4 8 38 23 10 12 16 54 31 18 20 24 62 26 28 32 46 34 36 40 63 42 44 48 55 50 52 56 58 60 64,17 3 5 7 16 25 11 13 15 19 21 23 32 27 29 31 57 35 37 39 56 49 43 45 47 64 51 53 55 59 61 63:4 6 3 4 6 3 3 3,12 4 4 12> {(0, 48): 't2*tau3^-1', (2, 24): 't1', (0, 25): 't3^-1', (0, 41): 't3^-1', (0, 50): 't2', (0, 40): 't3^-1*tau2^-1', (2, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 42): 't3^-1', (0, 32): 't3*tau2', (2, 48): 't2*tau3^-1*t1^-1*tau2*t3', (2, 63): 'tau1', (0, 17): 't2^-1', (0, 57): 't2^-1', (0, 34): 't3', (0, 56): 't2^-1*tau3', (2, 16): 't1', (2, 55): 'tau1^-1', (0, 58): 't2^-1', }