U-tiling: UQC4140
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
|
|
sqc3676
|
|
Cmma |
67 |
orthorhombic |
{4,4,4} |
10 |
(3,6) |
|
G
|
False
|
|
sqc3677
|
|
C2/c |
15 |
monoclinic |
{4,4,4} |
10 |
(3,7) |
|
D
|
False
|
|
sqc3816
|
|
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
<54.3:80:41 3 5 46 47 9 30 61 13 15 66 67 19 40 71 23 25 76 77 29 51 33 35 56 57 39 43 45 49 80 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 80,51 4 5 56 27 28 29 20 71 14 15 76 37 38 39 61 24 25 66 40 41 34 35 46 44 45 77 78 79 70 54 55 67 68 69 80 64 65 74 75:12 4 12 4 4 4,4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2', (0, 59): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 25): 't2^-1', (0, 60): 't2*tau3^-1', (2, 59): 'tau1^-1', (0, 50): 't3^-1*tau2^-1', (0, 29): 't1', (0, 49): 't3*tau2*t1^-1*tau3^-1*t2', (2, 49): 'tau1', (2, 50): 't3^-1', (2, 45): 't3', (0, 40): 't3*tau2', (2, 15): 't2', (2, 40): 't3', (0, 20): 'tau3^-1*t2', (2, 10): 't2', (2, 5): 't3', (0, 39): 't1'}