U-tiling: UQC4642
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1496 |
*222222 |
(4,5,2) |
{4,4,6,3} |
{8.8.8.8}{8.8.8.8}{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) |
G
|
False
|
|
sqc3627
|
|
I212121 |
24 |
orthorhombic |
{4,4,6,3} |
10 |
(4,6) |
D
|
False
|
|
sqc504
|
|
Pmmm |
47 |
orthorhombic |
{4,4,6,3} |
5 |
(4,5) |
Topological data
Vertex degrees | {4,4,6,3} |
2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.4.8.8.4.8}{8.8.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<71.1:80:11 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 6 10 28 49 12 14 16 20 38 59 22 24 26 30 69 32 34 36 40 79 42 44 46 50 68 52 54 56 60 78 62 64 66 70 72 74 76 80,21 42 43 14 15 8 9 50 31 52 53 18 19 60 62 63 34 35 28 29 70 72 73 38 39 80 61 54 55 48 49 71 58 59 74 75 68 69 78 79:8 4 4 8 8 8,4 4 6 3 4 3 4 3 3 6> {(0, 59): 'tau3^-1*t2', (2, 63): 't3*tau2', (0, 60): 't2^-1*tau3*t1', (2, 59): 'tau3^-1', (0, 50): 'tau3^-1*t2', (2, 49): 't2^-1', (2, 50): 't1', (2, 51): 't1', (2, 39): 't3*tau1^-1*t2^-1*tau3*t1', (2, 33): 'tau2^-1*t3^-1', (2, 34): 'tau2^-1*t3^-1', (2, 29): 't3*tau1^-1', (2, 12): 't1^-1', (2, 13): 't1^-1', (2, 14): 't1^-1', (1, 77): 'tau2^-1*t3^-1*tau1*t2', (1, 78): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 67): 'tau1*t2', (1, 68): 'tau1*t3^-1', (1, 58): 'tau3^-1', (1, 48): 't2^-1', (1, 37): 'tau2^-1*t1', (1, 27): 't3', (0, 79): 't1^-1*tau3^-1*t2', (2, 64): 't3*tau2'}