U-tiling: UQC4569
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) |
G
|
False
|
|
sqc3639
|
|
I212121 |
24 |
orthorhombic |
{4,4,4,4} |
10 |
(4,6) |
D
|
False
|
|
sqc446
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4} |
5 |
(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
<62.1:80:11 3 5 7 9 30 13 15 17 19 40 31 23 25 27 29 33 35 37 39 51 43 45 47 49 70 53 55 57 59 80 71 63 65 67 69 73 75 77 79,2 13 6 45 8 10 12 16 55 18 20 22 33 26 65 28 30 32 36 75 38 40 42 53 46 48 50 52 56 58 60 62 73 66 68 70 72 76 78 80,21 4 5 26 27 48 49 20 31 14 15 36 37 58 59 24 25 68 69 40 34 35 78 79 61 44 45 66 67 60 71 54 55 76 77 64 65 80 74 75:3 14 14 3 3 3,4 4 4 4 4 4 4 4 4 4> {(0, 59): 't2^-1*tau1^-1*t3*tau2', (2, 55): 't1', (2, 56): 't1', (2, 57): 't1', (0, 60): 't2^-1*tau3*t1', (0, 29): 't3', (0, 50): 'tau3^-1*t2', (0, 49): 't2^-1*tau1^-1', (2, 79): 'tau2^-1*t3^-1', (1, 52): 'tau3^-1*t2', (2, 50): 't1', (2, 19): 't1^-1', (1, 72): 't1^-1*tau3^-1*t2', (1, 74): 't1^-1*tau3^-1*t2*tau1*t3^-1', (1, 44): 't2^-1', (1, 14): 'tau3', (1, 64): 'tau1*t3^-1', (2, 39): 'tau2^-1*t3^-1', (0, 39): 'tau2^-1*t1', (2, 58): 't1'}