U-tiling: UQC4567
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1485 |
*222222 |
(4,5,2) |
{4,4,4,4} |
{3.14.14.3}{3.14.3.14}{14.14.14.... |
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
|
|
sqc449
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4} |
5 |
(4,5) |
G
|
False
|
|
sqc3819
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4} |
10 |
(4,6) |
D
|
False
|
|
sqc3820
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4} |
10 |
(4,5) |
Topological data
Vertex degrees | {4,4,4,4} |
2D vertex symbol | {3.14.14.3}{3.14.3.14}{14.14.14.14}{14.14.14.14} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<62.2:80:21 3 5 7 9 30 31 13 15 17 19 40 23 25 27 29 33 35 37 39 71 43 45 47 49 80 61 53 55 57 59 70 63 65 67 69 73 75 77 79,2 23 6 15 8 10 12 33 16 18 20 22 26 35 28 30 32 36 38 40 42 73 46 65 48 50 52 63 56 75 58 60 62 66 68 70 72 76 78 80,41 4 5 46 47 58 59 50 61 14 15 66 67 78 79 70 71 24 25 76 77 68 69 80 51 34 35 56 57 48 49 60 44 45 54 55 64 65 74 75:3 14 3 3 14 3,4 4 4 4 4 4 4 4 4 4> {(2, 60): 't2*tau3^-1', (2, 15): 'tau3*t2^-1', (2, 56): 't3^-1*tau2^-1', (2, 57): 't3^-1', (0, 60): 't2*tau3^-1*t1^-1*tau2*t3', (2, 55): 't3^-1*tau2^-1', (2, 48): 't3', (2, 50): 't3^-1*tau2^-1', (2, 45): 't3*tau2', (0, 40): 't3*tau2*t1^-1*tau3^-1*t2', (2, 47): 't3', (2, 40): 't3*tau2', (2, 18): 't2', (2, 28): 't2^-1', (0, 30): 't1', (2, 25): 'tau3^-1*t2', (2, 26): 'tau3^-1*t2', (2, 27): 't2^-1', (2, 20): 'tau3^-1*t2', (2, 16): 'tau3*t2^-1', (2, 17): 't2', (0, 20): 't1', (1, 72): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 74): 'tau1', (2, 8): 't3', (2, 6): 'tau2^-1*t3^-1', (1, 62): 't2*tau3^-1*t1^-1*tau2*t3', (1, 44): 'tau1', (1, 32): 't1', (1, 22): 't1'}