U-tiling: UQC3032
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2273 |
*222222 |
(2,6,6) |
{6,4} |
{4.6.3.4.4.4}{3.6.3.6} |
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
|
|
sqc6509
|
|
Cmma |
67 |
orthorhombic |
{4,6} |
10 |
(2,6) |
|
G
|
False
|
|
sqc6448
|
|
C2/c |
15 |
monoclinic |
{4,6,6} |
10 |
(3,7) |
|
D
|
False
|
|
sqc1210
|
|
Cmmm |
65 |
orthorhombic |
{6,4} |
5 |
(2,5) |
Topological data
| Vertex degrees | {4,6} |
| 2D vertex symbol | {4.6.3.4.4.4}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.3:112:3 4 61 62 35 36 23 24 39 40 69 70 17 18 89 90 49 50 53 54 97 98 31 32 103 104 51 52 111 112 45 46 75 76 83 84 59 60 105 106 93 94 109 110 73 74 91 92 107 108 95 96 87 88 101 102,57 72 5 14 7 9 11 13 85 100 19 28 21 23 25 27 99 86 33 42 35 37 39 41 71 58 47 56 49 51 53 55 61 70 63 65 67 69 75 84 77 79 81 83 89 98 91 93 95 97 103 112 105 107 109 111,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112:3 6 4 4 4 4 3 6 4 4 3 3 4 4,4 6 4 6 6 6 6 6 6 6> {(1, 57): 't3', (0, 18): 'tau3*t2^-1', (0, 62): 't3*tau2*t1^-1*tau3^-1*t2', (0, 107): 'tau1', (0, 34): 't1', (0, 48): 't1', (1, 56): 't3*tau2', (1, 99): 't2^-1', (0, 19): 'tau3*t2^-1', (0, 92): 'tau1^-1', (0, 63): 't3*tau2*t1^-1*tau3^-1*t2', (0, 35): 't1', (1, 71): 't3^-1', (0, 46): 'tau2*t3', (0, 49): 't1', (1, 98): 't2^-1*tau3', (1, 85): 't2', (0, 93): 'tau1^-1', (0, 60): 't3*tau2', (0, 32): 'tau3^-1*t2', (1, 70): 't3^-1*tau2^-1', (0, 47): 'tau2*t3', (1, 84): 't2*tau3^-1', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 61): 't3*tau2', (0, 33): 'tau3^-1*t2', (0, 106): 'tau1', (0, 91): 't2*tau3^-1*t1^-1*tau2*t3', }