U-tiling: UQC687
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc574 |
*222222 |
(2,5,3) |
{12,4} |
{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
|
|
sqc10
|
fsg
|
Pmmm |
47 |
orthorhombic |
{4,6} |
2 |
(2,4) |
|
G
|
False
|
|
sqc1594
|
|
C2/c |
15 |
monoclinic |
{4,12} |
4 |
(2,5) |
|
D
|
True
|
|
sqc740
|
|
Imma |
74 |
orthorhombic |
{4,8} |
4 |
(2,5) |
Topological data
| Vertex degrees | {12,4} |
| 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
<11.1:64:17 3 20 21 38 39 48 25 11 28 29 54 55 64 19 62 63 56 27 46 47 40 57 35 60 61 49 43 52 53 51 59,2 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 18 19 5 7 40 26 27 13 15 56 25 21 23 64 29 31 48 49 58 59 37 39 57 50 51 45 47 53 55 61 63:4 4 4 4 4 4 4 4,4 12 12 4> {(0, 51): 't2*tau3^-1*t1^-1*tau2*t3', (0, 62): 't2^-1*tau3', (0, 55): 't2', (0, 45): 't3^-1*tau2^-1', (0, 59): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 48): 't2*tau3^-1*t1^-1*tau2*t3', (0, 38): 't3*tau2', (0, 19): 't1', (0, 63): 't2^-1', (0, 30): 'tau2*t3', (0, 52): 't2*tau3^-1*t1^-1*tau2*t3', (0, 56): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 27): 't1', (0, 39): 't3', (0, 16): 't1', (2, 56): 'tau1', (0, 60): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 53): 't2*tau3^-1', (0, 20): 't1', (0, 47): 't3^-1', (0, 24): 't1', (0, 14): 'tau3*t2^-1', (0, 61): 't2^-1*tau3', (0, 28): 't1', (2, 48): 'tau1^-1', (0, 37): 't3*tau2', }