U-tiling: UQC3006
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2329 |
*222222 |
(2,7,5) |
{3,8} |
{4.8.4}{4.4.4.4.8.4.4.8} |
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
|
|
sqc1150
|
|
Pmmm |
47 |
orthorhombic |
{8,3} |
6 |
(2,7) |
|
G
|
False
|
|
sqc6286
|
|
C2/c |
15 |
monoclinic |
{8,3,3} |
12 |
(3,8) |
|
D
|
False
|
|
sqc6280
|
|
Imma |
74 |
orthorhombic |
{8,3} |
12 |
(2,7) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.8.4}{4.4.4.4.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.3:112:71 58 59 6 7 64 65 38 39 26 27 42 99 86 87 20 21 92 93 52 53 56 85 100 101 34 35 106 107 54 55 57 72 73 48 49 78 79 62 63 108 109 96 97 112 76 77 94 95 110 111 98 90 91 104 105,2 4 12 8 11 10 14 16 18 26 22 25 24 28 30 32 40 36 39 38 42 44 46 54 50 53 52 56 58 60 68 64 67 66 70 72 74 82 78 81 80 84 86 88 96 92 95 94 98 100 102 110 106 109 108 112,57 3 5 7 9 11 13 70 85 17 19 21 23 25 27 98 99 31 33 35 37 39 41 112 71 45 47 49 51 53 55 84 59 61 63 65 67 69 73 75 77 79 81 83 87 89 91 93 95 97 101 103 105 107 109 111:4 4 8 4 4 4 4 4 4 4 8 4,8 3 8 3 8 3 8 3 3 3 3 3> {(2, 27): 'tau3*t2^-1', (0, 111): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 28): 't2^-1', (0, 41): 't1', (0, 0): 't3', (0, 95): 'tau1^-1', (2, 14): 'tau3*t2^-1', (2, 56): 't3*tau2', (2, 13): 'tau2^-1*t3^-1', (0, 97): 't2*tau3^-1*t1^-1*tau2*t3', (0, 55): 't1', (0, 96): 'tau1^-1', (0, 109): 'tau1', (0, 110): 'tau1', (2, 42): 'tau2*t3', (2, 41): 'tau3^-1*t2', (0, 56): 't3', (0, 14): 't2', (2, 55): 'tau2*t3', (2, 28): 'tau3^-1*t2', }