U-tiling: UQC3161
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
|
|
sqc1129
|
|
Pmmm |
47 |
orthorhombic |
{4,12} |
5 |
(2,7) |
|
G
|
True
|
|
sqc5651
|
|
C2/c |
15 |
monoclinic |
{10,4,4} |
10 |
(3,7) |
|
D
|
True
|
|
sqc6251
|
|
Imma |
74 |
orthorhombic |
{12,4} |
10 |
(2,7) |
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
<38.1:120:31 62 63 79 80 8 9 85 86 72 73 44 45 46 92 93 109 110 23 24 115 116 102 103 59 60 107 108 94 95 38 39 100 101 117 118 77 78 64 65 53 54 70 71 87 88 106 68 69 119 120 91 83 84 104 105 98 99 113 114,2 4 6 37 10 15 12 14 17 19 21 52 25 30 27 29 32 34 36 40 45 42 44 47 49 51 55 60 57 59 62 64 66 112 70 75 72 74 77 79 81 97 85 90 87 89 92 94 96 100 105 102 104 107 109 111 115 120 117 119,16 3 5 7 9 11 13 15 18 20 22 24 26 28 30 46 33 35 37 39 41 43 45 48 50 52 54 56 58 60 91 63 65 67 69 71 73 75 106 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 3 4 4 4 4 3 3,14 4 4 4 4 14 4 4 4 4> {(0, 18): 't2', (0, 62): 't3*tau2', (0, 55): 't3^-1', (0, 45): 't1', (0, 34): 't2^-1', (0, 19): 't2', (0, 9): 't3', (0, 63): 't3', (0, 30): 't1', (0, 46): 'tau2*t3', (0, 49): 't3^-1', (0, 39): 't2^-1', (0, 16): 'tau3*t2^-1', (0, 60): 't3*tau2*t1^-1*tau3^-1*t2', (0, 31): 'tau3^-1*t2', (0, 10): 't3', (0, 32): 'tau3^-1*t2', (0, 3): 't3', (0, 47): 'tau2*t3', (0, 24): 't2', (0, 17): 'tau3*t2^-1', (0, 90): 't2*tau3^-1*t1^-1*tau2*t3', (0, 61): 't3*tau2', (0, 40): 't2^-1', (0, 33): 't2^-1', (2, 75): 'tau1^-1', (0, 54): 't3^-1', (0, 25): 't2', (0, 4): 't3', (2, 60): 'tau1', }