U-tiling: UQC4654
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1498 |
*222222 |
(4,5,2) |
{4,3,6,4} |
{8.8.8.8}{8.4.8}{8.8.4.8.8.4}{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
|
True
|
|
sqc2994
|
|
Pmmm |
47 |
orthorhombic |
{3,3,6,3} |
10 |
(4,5) |
G
|
False
|
|
sqc3620
|
|
I212121 |
24 |
orthorhombic |
{4,3,6,4} |
10 |
(4,6) |
D
|
False
|
|
sqc511
|
|
Pmmm |
47 |
orthorhombic |
{3,6,4,4} |
5 |
(4,5) |
Topological data
Vertex degrees | {4,3,6,4} |
2D vertex symbol | {8.8.8.8}{8.4.8}{8.8.4.8.8.4}{8.8.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<73.1:80:11 3 5 7 9 20 13 15 17 19 31 23 25 27 29 40 33 35 37 39 51 43 45 47 49 60 53 55 57 59 71 63 65 67 69 80 73 75 77 79,2 4 8 46 17 10 12 14 18 56 20 22 24 28 66 37 30 32 34 38 76 40 42 44 48 57 50 52 54 58 60 62 64 68 77 70 72 74 78 80,21 42 43 6 7 28 29 50 31 52 53 16 17 38 39 60 62 63 26 27 70 72 73 36 37 80 61 46 47 68 69 71 56 57 78 79 66 67 76 77:8 4 8 4 8 8,4 3 6 4 4 3 4 3 3 6> {(0, 59): 'tau3^-1*t2', (2, 57): 't2^-1*tau1^-1*t3*tau2', (2, 58): 't2^-1*tau1^-1*t3*tau2', (2, 59): 'tau3^-1', (0, 50): 'tau3^-1*t2', (2, 48): 't2^-1*tau1^-1', (2, 49): 't2^-1', (2, 50): 't1', (2, 51): 't1', (2, 47): 't2^-1*tau1^-1', (2, 37): 'tau2^-1*t1', (2, 38): 'tau2^-1*t1', (2, 39): 't3*tau1^-1*t2^-1*tau3*t1', (2, 28): 't3', (2, 29): 't3*tau1^-1', (0, 60): 't2^-1*tau3*t1', (2, 27): 't3', (2, 12): 't1^-1', (1, 76): 'tau2^-1*t3^-1', (1, 55): 't1', (1, 26): 't3*tau2', (1, 16): 't1^-1', (0, 79): 't1^-1*tau3^-1*t2'}