U-tiling: UQC3033
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
|
|
sqc6542
|
|
Cmma |
67 |
orthorhombic |
{4,6} |
10 |
(2,6) |
|
G
|
False
|
|
sqc6540
|
|
C2/c |
15 |
monoclinic |
{4,6,6} |
10 |
(3,7) |
|
D
|
False
|
|
sqc6691
|
|
Imma |
74 |
orthorhombic |
{4,6} |
10 |
(2,6) |
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
<29.2:112:3 4 33 34 21 22 37 38 67 68 83 84 17 18 47 48 51 52 95 96 111 112 31 32 49 50 109 110 97 98 45 46 81 82 69 70 59 60 103 104 91 92 107 108 73 74 89 90 105 106 93 94 87 88 101 102,29 58 5 14 7 9 11 13 43 86 19 28 21 23 25 27 100 33 42 35 37 39 41 72 47 56 49 51 53 55 99 61 70 63 65 67 69 85 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 4 4 3,4 6 4 6 6 6 6 6 6 6> {(1, 57): 't3*tau2', (0, 41): 't2^-1', (0, 62): 'tau1', (0, 55): 't3^-1', (0, 12): 't3', (0, 88): 't2*tau3^-1*t1^-1*tau2*t3', (0, 26): 't2', (1, 99): 't2^-1*tau3', (0, 63): 'tau1', (0, 104): 'tau1', (1, 14): 't1^-1', (0, 13): 't3', (0, 89): 't2*tau3^-1*t1^-1*tau2*t3', (1, 71): 't3^-1*tau2^-1', (0, 46): 't1', (0, 27): 't2', (1, 98): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 85): 't2*tau3^-1', (0, 60): 't3*tau2*t1^-1*tau3^-1*t2', (0, 105): 'tau1', (0, 32): 't1', (0, 47): 't1', (1, 0): 't1^-1', (1, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 61): 't3*tau2*t1^-1*tau3^-1*t2', (0, 40): 't2^-1', (0, 33): 't1', (0, 54): 't3^-1', }