U-tiling: UQC2251
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1739 |
*222222 |
(2,6,4) |
{5,12} |
{4.4.3.4.4}{4.4.4.4.3.3.4.4.4.4.... |
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
|
True
|
|
sqc430
|
|
Pmmm |
47 |
orthorhombic |
{5,10} |
3 |
(2,6) |
|
G
|
False
|
|
sqc4024
|
|
C2/c |
15 |
monoclinic |
{12,5} |
6 |
(2,7) |
|
D
|
False
|
|
sqc4023
|
|
Imma |
74 |
orthorhombic |
{12,5} |
6 |
(2,6) |
Topological data
| Vertex degrees | {5,12} |
| 2D vertex symbol | {4.4.3.4.4}{4.4.4.4.3.3.4.4.4.4.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<94.1:88:23 4 5 61 62 52 64 65 55 34 15 16 83 84 74 86 87 77 26 27 72 73 85 75 76 88 37 38 50 51 63 53 54 66 78 48 49 67 59 60 70 71 81 82,2 9 26 6 8 11 13 20 37 17 19 22 24 31 28 30 33 35 42 39 41 44 46 53 81 50 52 55 57 64 70 61 63 66 68 75 72 74 77 79 86 83 85 88,12 3 5 7 30 10 33 14 16 18 41 21 44 34 25 27 29 32 36 38 40 43 67 47 49 51 85 54 88 78 58 60 62 74 65 77 69 71 73 76 80 82 84 87:3 4 4 4 3 4 4 4 4 4 3 3,12 5 5 12 5 5> {(0, 29): 'tau3^-1*t2', (0, 51): 't3*tau2', (0, 60): 't3^-1', (0, 18): 'tau3*t2^-1', (0, 31): 't2^-1', (0, 53): 't3', (0, 62): 't3^-1*tau2^-1', (0, 20): 't2', (2, 7): 't1^-1', (0, 55): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 22): 't1', (0, 82): 't2^-1', (0, 17): 't2', (1, 25): 't1', (0, 61): 't3^-1', (0, 38): 't3^-1', (0, 19): 't2', (0, 28): 't2^-1', (0, 9): 't3', (0, 50): 't3', (0, 63): 't3^-1', (1, 80): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 30): 't2^-1', (1, 14): 't1^-1', (0, 52): 't3', (0, 33): 't1', (2, 44): 'tau1', (1, 69): 't2*tau3^-1*t1^-1*tau2*t3', (0, 44): 't3*tau2*t1^-1*tau3^-1*t2', (2, 62): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 40): 't1', (0, 27): 't2^-1', (2, 51): 't3*tau2*t1^-1*tau3^-1*t2', (2, 55): 'tau1^-1', }