U-tiling: UQC2061
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1668 |
*222222 |
(2,6,4) |
{7,8} |
{4.4.4.3.4.4.4}{4.4.3.3.4.4.3.3} |
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
|
|
sqc596
|
|
Pmmm |
47 |
orthorhombic |
{7,8} |
3 |
(2,6) |
G
|
False
|
|
sqc4048
|
|
C2/c |
15 |
monoclinic |
{7,8} |
6 |
(2,7) |
D
|
True
|
|
sqc358
|
|
Cmmm |
65 |
orthorhombic |
{6,8} |
3 |
(2,5) |
Topological data
Vertex degrees | {7,8} |
2D vertex symbol | {4.4.4.3.4.4.4}{4.4.3.3.4.4.3.3} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<97.2:88:45 57 58 48 49 8 9 54 33 67 79 80 70 71 19 20 76 44 78 68 69 81 82 30 31 87 56 46 47 59 60 41 42 65 52 53 88 63 64 77 74 75 85 86,2 4 6 29 10 11 13 15 17 40 21 22 24 26 28 32 33 35 37 39 43 44 46 48 50 84 54 55 57 59 61 73 65 66 68 70 72 76 77 79 81 83 87 88,23 3 5 7 9 32 22 34 14 16 18 20 43 25 27 29 31 44 36 38 40 42 78 47 49 51 53 87 77 67 58 60 62 64 76 88 69 71 73 75 80 82 84 86:4 4 4 3 4 4 4 3 4 4 3 3,7 8 7 7 8 7> {(0, 55): 't3^-1*tau2^-1', (0, 45): 't3', (0, 22): 'tau3^-1*t2', (1, 6): 't1^-1', (0, 12): 't2', (2, 87): 'tau1', (2, 54): 'tau1', (2, 44): 't3*tau2*t1^-1*tau3^-1*t2', (0, 23): 't2^-1', (0, 13): 't2', (0, 56): 't3^-1', (0, 46): 't3', (2, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 33): 't1', (2, 22): 't1', (0, 43): 't1', (0, 65): 't3^-1*tau2^-1*t1*tau3*t2^-1', (1, 50): 't3*tau2*t1^-1*tau3^-1*t2', (0, 32): 't1', (0, 57): 't3^-1', (1, 39): 't1', (0, 24): 't2^-1', (0, 11): 'tau3*t2^-1', (0, 54): 't3*tau2*t1^-1*tau3^-1*t2', (0, 44): 't3*tau2', (1, 61): 't3^-1*tau2^-1*t1*tau3*t2^-1', }