U-tiling: UQC3848
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc88 |
*2(12)(12) |
(2,2,2) |
{6,12} |
{12.3.3.12.3.3}{3.3.3.3.3.3.3.3.... |
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
|
|
sqc4987
|
|
R-3m |
166 |
rhombohedral |
{6,6,12} |
7 |
(3,3) |
|
G
|
False
|
|
sqc4989
|
|
R-3 |
148 |
rhombohedral |
{6,6,12} |
7 |
(3,4) |
|
D
|
False
|
|
sqc4987
|
|
R-3m |
166 |
rhombohedral |
{6,6,12} |
7 |
(3,3) |
Topological data
| Vertex degrees | {6,6,12} |
| 2D vertex symbol | {12.3.3.12.3.3}{12.3.3.12.3.3}{3.3.3.3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:96:2 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 96,17 10 5 8 7 25 13 16 15 34 21 24 23 42 29 32 31 49 37 40 39 57 45 48 47 66 53 56 55 74 61 64 63 81 69 72 71 89 77 80 79 90 85 88 87 93 96 95,3 4 77 78 87 88 11 12 69 70 95 96 19 20 93 94 63 64 27 28 85 86 55 56 35 36 45 46 79 80 43 44 71 72 51 52 61 62 59 60 67 68 75 76 83 84 91 92:12 3 3 3 3 3 3 3 3 3 3 3 3,6 6 12 6 6 6 6> {(2, 60): 'tau1^-1', (2, 61): 'tau1^-1', (2, 62): 't3^-1', (2, 63): 't3^-1', (2, 54): 't2^-1', (2, 55): 't2^-1', (2, 44): 'tau1^-1', (2, 45): 'tau1^-1', (2, 46): 't2', (2, 47): 't2', (2, 38): 't3', (2, 39): 't3', (2, 28): 'tau3', (2, 29): 'tau3', (2, 20): 'tau2^-1', (2, 21): 'tau2^-1', (2, 12): 'tau3', (2, 13): 'tau3', (2, 14): 't1^-1', (2, 15): 't1^-1', (2, 4): 'tau2^-1', (2, 5): 'tau2^-1', (2, 6): 't1^-1', (2, 7): 't1^-1'}