U-tiling: UQC3035
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
|
|
sqc6556
|
|
Cmma |
67 |
orthorhombic |
{4,6} |
10 |
(2,6) |
|
G
|
False
|
|
sqc6558
|
|
C2/c |
15 |
monoclinic |
{4,6,6} |
10 |
(3,7) |
|
D
|
False
|
|
sqc1237
|
|
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
<29.1:112:3 4 19 20 35 36 65 66 81 82 69 70 17 18 49 50 93 94 109 110 97 98 31 32 47 48 107 108 95 96 111 112 45 46 79 80 67 68 83 84 59 60 89 90 105 106 73 74 103 104 91 92 87 88 101 102,15 30 5 14 7 9 11 13 44 19 28 21 23 25 27 43 33 42 35 37 39 41 47 56 49 51 53 55 85 100 61 70 63 65 67 69 99 86 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 6 4 4 4 3 3 4 3,4 6 6 6 6 4 6 6 6 6> {(0, 103): 'tau1', (0, 39): 't2^-1', (0, 41): 'tau3^-1*t2', (1, 15): 't1^-1', (0, 55): 'tau2*t3', (0, 12): 'tau2^-1*t3^-1', (0, 26): 'tau3*t2^-1', (0, 38): 't2^-1', (0, 52): 't3^-1', (0, 13): 'tau2^-1*t3^-1', (0, 27): 'tau3*t2^-1', (1, 1): 't1^-1', (1, 98): 'tau1', (1, 85): 't2*tau3^-1*t1^-1*tau2*t3', (0, 60): 'tau1', (0, 53): 't3^-1', (0, 10): 't3', (1, 99): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 24): 't2', (1, 84): 'tau1^-1', (0, 61): 'tau1', (0, 102): 'tau1', (0, 40): 'tau3^-1*t2', (0, 11): 't3', (0, 54): 'tau2*t3', (0, 25): 't2', }