U-tiling: UQC5294
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1883 |
*222222 |
(5,5,2) |
{4,4,4,3,4} |
{9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.... |
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
|
|
sqc623
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3,4,4} |
6 |
(5,5) |
G
|
False
|
|
sqc4629
|
|
C2/c |
15 |
monoclinic |
{4,4,4,3,4} |
12 |
(5,6) |
D
|
False
|
|
sqc4625
|
|
Imma |
74 |
orthorhombic |
{4,4,4,3,4} |
12 |
(5,5) |
Topological data
Vertex degrees | {4,4,4,3,4} |
2D vertex symbol | {9.9.9.9}{9.9.9.9}{9.9.9.9}{9.4.9}{9.4.9.4} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<99.3:88:45 3 5 7 9 11 67 14 16 18 20 22 78 25 27 29 31 33 56 36 38 40 42 44 47 49 51 53 55 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88,2 4 6 8 53 21 33 13 15 17 19 75 44 24 26 28 30 86 43 35 37 39 41 64 46 48 50 52 76 88 57 59 61 63 87 77 68 70 72 74 79 81 83 85,56 46 47 26 27 17 18 10 11 78 68 69 37 38 21 22 67 79 80 39 40 32 33 45 57 58 43 44 81 82 72 73 54 55 70 71 83 84 65 66 76 77 87 88:9 4 9 9 9 4,4 4 4 3 4 4 4 4 3 4 3 3> {(2, 60): 'tau1^-1', (2, 61): 'tau1^-1', (1, 85): 't2^-1*tau3', (2, 55): 't3^-1', (2, 49): 'tau1', (2, 50): 'tau1', (2, 44): 't3', (0, 44): 't3*tau2', (0, 33): 'tau2*t3', (2, 22): 't2^-1', (0, 22): 'tau3^-1*t2', (1, 87): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 86): 'tau1', (0, 11): 'tau3*t2^-1', (1, 75): 'tau1^-1', (1, 74): 't2*tau3^-1', (1, 76): 't2*tau3^-1*t1^-1*tau2*t3', (2, 11): 't2', (1, 63): 't3^-1*tau2^-1', (1, 43): 't1', (1, 32): 't1', (1, 8): 'tau2^-1*t3^-1'}