U-tiling: UQC3178
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) |
|
G
|
False
|
|
sqc7461
|
|
I212121 |
24 |
orthorhombic |
{10,3,3} |
12 |
(3,9) |
|
D
|
False
|
|
sqc1778
|
|
P222 |
16 |
orthorhombic |
{3,10} |
6 |
(2,8) |
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 20 21 38 39 10 11 44 45 78 79 80 49 82 83 54 55 26 27 60 61 94 95 96 98 99 52 53 42 43 110 111 112 114 115 58 59 126 127 128 97 84 85 102 103 74 75 108 109 113 118 119 90 91 124 125 116 117 106 107 122 123,2 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 81 67 69 71 73 75 77 79 96 83 85 87 89 91 93 95 113 99 101 103 105 107 109 111 128 115 117 119 121 123 125 127:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,10 3 3 10 3 3 10 3 3 10 3 3> {(0, 29): 'tau3', (2, 64): 't2^-1*tau3', (0, 51): 'tau2^-1*t3^-1', (0, 60): 'tau2^-1*t1', (0, 18): 't1^-1', (0, 31): 'tau3', (0, 107): 'tau1*t2', (0, 53): 'tau2^-1*t1', (0, 62): 't3*tau1^-1*t2^-1*tau3*t1', (0, 43): 't3', (0, 20): 't1^-1', (0, 116): 'tau2^-1*t3^-1', (2, 112): 't1^-1*tau3^-1*t2', (0, 45): 't3*tau1^-1', (0, 102): 'tau1*t2', (2, 127): 't1^-1*tau3^-1*t2', (0, 47): 't3*tau1^-1', (0, 118): 'tau2^-1*t3^-1*tau1*t2', (0, 14): 't2', (0, 59): 'tau2^-1*t1', (0, 101): 'tau1*t2', (0, 17): 't1^-1', (0, 124): 'tau2^-1*t3^-1*tau1*t2', (0, 112): 't1^-1', (0, 61): 't3*tau1^-1*t2^-1*tau3*t1', (0, 38): 't3', (0, 19): 't1^-1', (0, 115): 'tau2^-1*t3^-1', (0, 63): 't3*tau1^-1*t2^-1*tau3*t1', (0, 123): 'tau2^-1*t3^-1*tau1*t2', (0, 30): 'tau3', (0, 52): 'tau2^-1*t3^-1', (0, 13): 't2', (0, 54): 'tau2^-1*t1', (0, 44): 't3', (2, 95): 'tau3^-1*t2', (0, 15): 't2', (0, 37): 't3', (0, 46): 't3*tau1^-1', (0, 117): 'tau2^-1*t3^-1*tau1*t2', (0, 108): 'tau1*t2', }