U-tiling: UQC3824
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc0847.jpg) |
hqc847 |
*2626 |
(3,4,2) |
{3,4,6} |
{24.4.24}{24.24.4.4}{4.4.4.4.4.4} |
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
|
|
sqc5421
|
|
R-3m |
166 |
rhombohedral |
{3,4,6} |
13 |
(3,4) |
G
|
False
|
|
sqc5428
|
|
R-3 |
148 |
rhombohedral |
{3,4,6} |
13 |
(3,5) |
D
|
False
|
|
sqc5426
|
|
R-3m |
166 |
rhombohedral |
{3,4,6} |
13 |
(3,4) |
Topological data
Vertex degrees | {3,4,6} |
2D vertex symbol | {24.4.24}{24.24.4.4}{4.4.4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s2626_FSGG_33_2_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<33.2:96:17 3 5 7 16 25 11 13 15 19 21 23 40 27 29 31 48 49 35 37 39 57 43 45 47 51 53 55 72 59 61 63 80 81 67 69 71 89 75 77 79 83 85 87 96 91 93 95,2 8 76 6 79 10 16 68 14 71 18 24 92 22 95 26 32 84 30 87 34 40 44 38 47 42 48 46 50 56 60 54 63 58 64 62 66 72 70 74 80 78 82 88 86 90 96 94,73 4 5 86 87 88 65 12 13 94 95 96 89 20 21 62 63 64 81 28 29 54 55 56 41 36 37 78 79 80 44 45 70 71 72 57 52 53 60 61 68 69 76 77 84 85 92 93:24 4 4 4 4 4 4,3 4 6 3 4 3 4 3 4 3 4 4 3> {(2, 61): 't3^-1', (2, 62): 't3^-1', (2, 63): 't3^-1', (2, 56): 'tau1^-1', (2, 53): 't2^-1', (2, 54): 't2^-1', (2, 55): 't2^-1', (2, 45): 't2', (2, 46): 't2', (2, 47): 't2', (2, 40): 'tau1^-1', (2, 37): 't3', (2, 38): 't3', (2, 39): 't3', (1, 91): 'tau2', (2, 24): 'tau3', (1, 94): 'tau2', (2, 16): 'tau2^-1', (1, 75): 'tau2', (1, 86): 'tau3^-1', (2, 13): 't1^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (2, 8): 'tau3', (1, 78): 'tau2', (2, 5): 't1^-1', (2, 6): 't1^-1', (2, 7): 't1^-1', (2, 0): 'tau2^-1', (1, 70): 'tau3^-1', (1, 59): 'tau1^-1', (1, 62): 'tau1^-1', (1, 43): 'tau1^-1', (1, 46): 'tau1^-1', (1, 27): 'tau3', (1, 11): 'tau3'}