U-tiling: UQC1897
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1399 |
*2626 |
(2,4,4) |
{3,4} |
{12.8.6}{6.8.6.8} |
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
|
|
sqc7386
|
|
R-3m |
166 |
rhombohedral |
{4,3} |
18 |
(2,4) |
|
G
|
False
|
|
sqc7385
|
|
R-3 |
148 |
rhombohedral |
{4,3,3} |
18 |
(3,5) |
|
D
|
False
|
|
sqc7387
|
|
R-3m |
166 |
rhombohedral |
{4,3} |
18 |
(2,4) |
Topological data
| Vertex degrees | {4,3} |
| 2D vertex symbol | {12.8.6}{6.8.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.2:120:11 12 5 6 107 108 99 100 15 16 117 118 89 90 41 42 25 26 77 78 119 120 51 52 35 36 67 68 109 110 45 46 97 98 59 60 55 56 87 88 81 82 65 66 79 80 91 92 75 76 85 86 95 96 111 112 105 106 115 116,21 3 24 7 10 9 31 13 34 17 20 19 23 27 30 29 33 37 40 39 61 43 64 47 50 49 71 53 74 57 60 59 63 67 70 69 73 77 80 79 101 83 104 87 90 89 111 93 114 97 100 99 103 107 110 109 113 117 120 119,2 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 98 100 102 104 106 108 110 112 114 116 118 120:6 8 6 12 6 8 8 6,4 3 4 3 3 3 4 3 4 3 3 3 4 3 4 3 3 3> {(0, 29): 'tau2^-1', (0, 18): 'tau3', (0, 8): 'tau2^-1', (0, 78): 'tau1^-1', (0, 59): 'tau1^-1', (0, 26): 't3', (0, 38): 'tau3', (0, 19): 'tau3', (0, 9): 'tau2^-1', (0, 79): 'tau1^-1', (0, 56): 't2', (0, 46): 't3', (0, 27): 't3', (0, 39): 'tau3', (0, 16): 't1^-1', (0, 6): 't1^-1', (0, 57): 't2', (0, 47): 't3', (0, 36): 't2', (0, 17): 't1^-1', (0, 7): 't1^-1', (0, 28): 'tau2^-1', (0, 37): 't2', (0, 58): 'tau1^-1', }