U-tiling: UQC5949
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc173 |
*2226 |
(3,3,1) |
{4,4,6} |
{5.5.5.5}{5.5.5.5}{5.5.5.5.5.5} |
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
|
|
sqc7241
|
|
Cmma |
67 |
orthorhombic |
{4,4,6,4,4,4} |
14 |
(6,7) |
|
G
|
False
|
|
sqc7239
|
|
C2/c |
15 |
monoclinic |
{4,4,6,4,4,4} |
14 |
(6,8) |
|
D
|
False
|
|
sqc7359
|
|
Imma |
74 |
orthorhombic |
{4,4,6,4,4,4} |
14 |
(6,7) |
Topological data
| Vertex degrees | {4,4,6,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5.5}{5.5.5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.2:120:31 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 99 101 103 105 108 110 112 114 116 118 120,2 4 35 8 15 10 12 14 17 19 50 23 30 25 27 29 32 34 38 45 40 42 44 47 49 53 60 55 57 59 62 64 110 68 75 70 72 74 77 79 95 83 90 85 87 89 92 94 98 105 100 102 104 107 109 113 120 115 117 119,61 77 78 6 7 83 84 70 71 42 43 29 30 91 107 108 21 22 113 114 100 101 57 58 106 92 93 36 37 98 99 115 116 59 60 76 62 63 51 52 68 69 85 86 66 67 117 118 104 105 81 82 102 103 119 120 96 97 111 112:5 5 5 5 5 5 5 5 5 5 5 5,4 4 6 4 4 4 4 4 4 4 4 4 6 4> {(2, 60): 't3*tau2', (2, 61): 't3', (2, 62): 't3', (0, 60): 't3*tau2*t1^-1*tau3^-1*t2', (2, 52): 't3^-1', (2, 53): 't3^-1', (2, 45): 'tau2*t3', (1, 109): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 45): 't1', (2, 37): 't2^-1', (2, 38): 't2^-1', (2, 32): 't2^-1', (2, 30): 'tau3^-1*t2', (2, 31): 't2^-1', (0, 30): 't1', (1, 94): 't2*tau3^-1*t1^-1*tau2*t3', (2, 22): 't2', (2, 23): 't2', (2, 16): 't2', (2, 17): 't2', (2, 15): 'tau3*t2^-1', (2, 8): 't3', (2, 7): 't3', (2, 1): 't3', (2, 2): 't3', (2, 103): 'tau1^-1', (1, 49): 't1', (2, 118): 'tau1', (2, 119): 'tau1', (2, 104): 'tau1^-1', (1, 34): 't1', (0, 75): 't3^-1*tau2^-1*t1*tau3*t2^-1'}