U-tiling: UQC3710
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc817 |
*2626 |
(3,4,2) |
{4,12,12} |
{3.5.5.3}{3.5.3.5.3.5.3.5.3.5.3.... |
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
|
|
sqc4765
|
|
R-3m |
166 |
rhombohedral |
{4,12,12} |
8 |
(3,4) |
G
|
False
|
|
sqc4766
|
|
R-3m |
166 |
rhombohedral |
{4,12,12} |
8 |
(3,5) |
D
|
False
|
|
sqc4759
|
|
R-3m |
166 |
rhombohedral |
{4,12,12} |
8 |
(3,4) |
Topological data
Vertex degrees | {4,12,12} |
2D vertex symbol | {3.5.5.3}{3.5.3.5.3.5.3.5.3.5.3.5}{5.5.5.5.5.5.5.5.5.5.5.5} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.1:96:73 3 5 7 88 65 11 13 15 96 89 19 21 23 64 81 27 29 31 56 41 35 37 39 80 43 45 47 72 57 51 53 55 59 61 63 67 69 71 75 77 79 83 85 87 91 93 95,2 75 6 85 8 10 67 14 93 16 18 91 22 61 24 26 83 30 53 32 34 43 38 77 40 42 46 69 48 50 59 54 56 58 62 64 66 70 72 74 78 80 82 86 88 90 94 96,17 4 5 22 23 16 25 12 13 30 31 20 21 40 28 29 48 49 36 37 54 55 57 44 45 62 63 52 53 72 60 61 80 81 68 69 86 87 89 76 77 94 95 84 85 96 92 93:3 5 3 5 3 5 3 5 3 5 5 3,4 12 12 4 4 4 4 4> {(0, 56): 'tau1^-1', (0, 63): 't3^-1', (0, 55): 't2^-1', (0, 40): 'tau1^-1', (0, 47): 't2', (0, 39): 't3', (0, 24): 'tau3', (1, 90): 'tau2', (0, 16): 'tau2^-1', (1, 82): 'tau3^-1', (0, 8): 'tau3', (1, 74): 'tau2', (1, 76): 't3^-1', (0, 0): 'tau2^-1', (1, 66): 'tau3^-1', (0, 7): 't1^-1', (0, 15): 't1^-1', (1, 58): 'tau1^-1', (1, 52): 't2^-1', (1, 42): 'tau1^-1', (1, 44): 't2', (1, 20): 't3', (1, 12): 't1^-1', (1, 4): 't1^-1'}