U-tiling: UQC3179
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2417 |
*222222 |
(2,8,6) |
{10,3} |
{4.4.4.4.4.4.4.4.4.4}{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
|
|
sqc7075
|
|
Cmma |
67 |
orthorhombic |
{9,3} |
12 |
(2,8) |
|
G
|
False
|
|
sqc7513
|
|
C2/c |
15 |
monoclinic |
{10,3,3} |
12 |
(3,9) |
|
D
|
True
|
|
sqc1178
|
|
Cmmm |
65 |
orthorhombic |
{8,3} |
6 |
(2,7) |
Topological data
| Vertex degrees | {10,3} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4.4.4}{4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.1:128:33 66 67 84 85 70 71 10 11 76 77 46 47 48 49 98 99 116 117 102 103 26 27 108 109 62 63 64 114 115 100 101 118 119 42 43 124 125 82 83 68 69 86 87 58 59 92 93 113 74 75 126 127 128 97 90 91 110 111 112 106 107 122 123,2 4 6 8 16 12 15 14 18 20 22 24 32 28 31 30 34 36 38 40 48 44 47 46 50 52 54 56 64 60 63 62 66 68 70 72 80 76 79 78 82 84 86 88 96 92 95 94 98 100 102 104 112 108 111 110 114 116 118 120 128 124 127 126,17 3 5 7 9 11 13 15 32 19 21 23 25 27 29 31 49 35 37 39 41 43 45 47 64 51 53 55 57 59 61 63 97 67 69 71 73 75 77 79 112 113 83 85 87 89 91 93 95 128 99 101 103 105 107 109 111 115 117 119 121 123 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,10 3 3 10 3 3 10 3 10 3 3 3> {(0, 51): 't3^-1', (0, 18): 'tau3*t2^-1', (0, 1): 'tau2^-1*t3^-1', (0, 96): 't2*tau3^-1*t1^-1*tau2*t3', (2, 127): 'tau1', (0, 34): 'tau3^-1*t2', (0, 48): 't1', (0, 19): 't2', (0, 52): 't3^-1', (2, 112): 'tau1', (0, 35): 't2^-1', (0, 2): 'tau2^-1*t3^-1', (0, 49): 'tau2*t3', (2, 111): 'tau1^-1', (0, 20): 't2', (0, 32): 't1', (0, 3): 't3', (0, 36): 't2^-1', (0, 17): 'tau3*t2^-1', (0, 112): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 96): 'tau1^-1', (0, 50): 'tau2*t3', (0, 33): 'tau3^-1*t2', (0, 4): 't3', }