U-tiling: UQC4143
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1446 |
*222222 |
(3,6,2) |
{4,4,4} |
{12.4.4.12}{12.12.4.4}{12.12.12.12} |
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
|
|
sqc3842
|
|
Cmma |
67 |
orthorhombic |
{4,4,4} |
10 |
(3,6) |
|
G
|
False
|
|
sqc3855
|
|
C2/c |
15 |
monoclinic |
{4,4,4} |
10 |
(3,7) |
|
D
|
False
|
|
sqc3867
|
|
Imma |
74 |
orthorhombic |
{4,4,4} |
10 |
(3,6) |
Topological data
| Vertex degrees | {4,4,4} |
| 2D vertex symbol | {12.4.4.12}{12.12.4.4}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<54.1:80:11 3 5 46 47 9 30 13 15 66 67 19 40 31 23 25 76 77 29 33 35 56 57 39 61 43 45 49 80 71 53 55 59 70 63 65 69 73 75 79,2 8 6 7 10 12 18 16 17 20 22 28 26 27 30 32 38 36 37 40 42 48 46 47 50 52 58 56 57 60 62 68 66 67 70 72 78 76 77 80,21 4 5 26 57 58 59 50 31 14 15 36 77 78 79 70 24 25 67 68 69 80 34 35 47 48 49 60 71 44 45 76 61 54 55 66 64 65 74 75:12 4 4 4 4 12,4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2*tau3^-1*t1^-1*tau2*t3', (0, 56): 't3^-1*tau2^-1', (2, 56): 't3^-1', (2, 57): 't3^-1', (0, 60): 'tau1^-1', (0, 50): 'tau1^-1', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 48): 't3', (0, 55): 't3^-1*tau2^-1', (2, 45): 't3*tau2*t1^-1*tau3^-1*t2', (2, 46): 't3', (2, 47): 't3', (2, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 35): 't1', (0, 26): 'tau3^-1*t2', (2, 30): 't1', (0, 25): 'tau3^-1*t2', (2, 58): 't3^-1', (2, 26): 't2^-1', (2, 27): 't2^-1', (2, 20): 't1', (0, 16): 'tau3*t2^-1', (2, 16): 't2', (2, 17): 't2', (2, 18): 't2', (0, 15): 'tau3*t2^-1', (2, 5): 't1^-1', (0, 6): 'tau2^-1*t3^-1', (0, 5): 'tau2^-1*t3^-1', (2, 28): 't2^-1'}