U-tiling: UQC5241
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1552 |
*2626 |
(5,4,2) |
{6,3,3,4,6} |
{4.4.4.4.4.4}{4.12.4}{4.12.12}{1... |
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
|
|
sqc7173
|
|
R-3m |
166 |
rhombohedral |
{6,3,3,4,6} |
17 |
(5,4) |
|
G
|
False
|
|
sqc7072
|
|
R-3m |
166 |
rhombohedral |
{6,3,3,4,6} |
17 |
(5,4) |
|
D
|
False
|
|
sqc7068
|
|
R-3m |
166 |
rhombohedral |
{6,3,3,4,6} |
17 |
(5,4) |
Topological data
| Vertex degrees | {6,3,3,4,6} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.12.4}{4.12.12}{12.12.12.12}{12.12.12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<60.1:120:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120,91 3 94 105 7 9 20 81 13 84 115 17 19 111 23 114 75 27 29 50 101 33 104 65 37 39 60 51 43 54 95 47 49 53 85 57 59 71 63 74 67 69 90 73 77 79 100 83 87 89 93 97 99 103 107 109 120 113 117 119,101 102 5 6 97 98 29 30 111 112 15 16 87 88 39 40 71 72 25 26 117 118 61 62 35 36 107 108 91 92 45 46 57 58 69 70 81 82 55 56 79 80 65 66 77 78 75 76 85 86 109 110 95 96 119 120 105 106 115 116:4 12 4 4 12 4 12 4 4,6 3 3 4 6 3 3 4 3 3 3 3 3 3 4 3 3> {(2, 60): 't2^-1', (2, 61): 't2^-1', (2, 56): 'tau1^-1', (2, 57): 'tau1^-1', (1, 113): 'tau2', (1, 114): 't1', (2, 50): 't2', (2, 51): 't2', (1, 104): 't1', (2, 40): 't3', (2, 41): 't3', (1, 110): 'tau2', (2, 36): 'tau3', (2, 37): 'tau3', (1, 103): 'tau3^-1', (1, 90): 'tau2', (1, 93): 'tau2', (2, 26): 'tau2^-1', (1, 94): 't3^-1', (2, 20): 't3', (2, 21): 't3', (1, 83): 'tau3^-1', (2, 16): 'tau3', (2, 17): 'tau3', (1, 73): 'tau1^-1', (1, 74): 't3^-1', (2, 10): 't1^-1', (2, 11): 't1^-1', (1, 64): 't2^-1', (2, 6): 'tau2^-1', (2, 7): 'tau2^-1', (2, 0): 't1^-1', (2, 1): 't1^-1', (1, 70): 'tau1^-1', (1, 50): 'tau1^-1', (1, 84): 't2^-1', (1, 43): 'tau1', (1, 30): 'tau3', (2, 27): 'tau2^-1', (2, 76): 'tau1^-1', (2, 77): 'tau1^-1', (1, 10): 'tau3'}