U-tiling: UQC3162
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2399 |
*222222 |
(2,7,6) |
{4,14} |
{4.4.3.4}{3.4.4.4.4.4.4.3.4.4.4.... |
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
|
|
sqc1131
|
|
Pmmm |
47 |
orthorhombic |
{4,12} |
5 |
(2,7) |
|
G
|
True
|
|
sqc5718
|
|
C2/c |
15 |
monoclinic |
{10,4,4} |
10 |
(3,7) |
|
D
|
True
|
|
sqc988
|
|
Cmmm |
65 |
orthorhombic |
{4,10} |
5 |
(2,6) |
Topological data
| Vertex degrees | {14,4} |
| 2D vertex symbol | {4.4.3.4}{3.4.4.4.4.4.4.3.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.2:120:61 77 78 64 65 8 9 70 71 42 43 29 30 91 107 108 94 95 23 24 100 101 57 58 106 92 93 109 110 38 39 115 116 59 60 76 62 63 79 80 53 54 85 86 68 69 117 118 104 105 83 84 102 103 119 120 98 99 113 114,2 4 6 22 10 15 12 14 17 19 21 25 30 27 29 32 34 36 52 40 45 42 44 47 49 51 55 60 57 59 62 64 66 97 70 75 72 74 77 79 81 112 85 90 87 89 92 94 96 100 105 102 104 107 109 111 115 120 117 119,31 3 5 7 9 11 13 15 46 18 20 22 24 26 28 30 33 35 37 39 41 43 45 48 50 52 54 56 58 60 106 63 65 67 69 71 73 75 91 78 80 82 84 86 88 90 93 95 97 99 101 103 105 108 110 112 114 116 118 120:4 4 4 3 4 4 4 4 4 4 4 3 4 3 4 3,14 4 4 4 4 14 4 4 4 4> {(0, 103): 'tau1^-1', (0, 62): 't3', (0, 1): 't3', (0, 45): 'tau2*t3', (0, 104): 'tau1^-1', (0, 30): 'tau3^-1*t2', (1, 111): 'tau1', (0, 118): 'tau1', (0, 2): 't3', (0, 16): 't2', (0, 60): 't3*tau2', (0, 31): 't2^-1', (2, 45): 't1', (0, 119): 'tau1', (0, 32): 't2^-1', (2, 30): 't1', (0, 17): 't2', (0, 61): 't3', (2, 75): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 15): 'tau3*t2^-1', (1, 96): 'tau1^-1', (2, 60): 't3*tau2*t1^-1*tau3^-1*t2', }