U-tiling: UQC4754
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/hqc1602.jpg) |
hqc1602 |
*2626 |
(4,4,2) |
{6,4,18,4} |
{8.8.8.8.8.8}{8.3.3.8}{8.3.3.8.3... |
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
|
|
sqc7191
|
|
R-3m |
166 |
rhombohedral |
{6,4,18,4} |
11 |
(4,4) |
G
|
False
|
|
sqc7055
|
|
R-3m |
166 |
rhombohedral |
{6,4,18,4} |
11 |
(4,5) |
D
|
False
|
|
sqc7053
|
|
R-3m |
166 |
rhombohedral |
{6,4,18,4} |
11 |
(4,4) |
Topological data
Vertex degrees | {6,4,18,4} |
2D vertex symbol | {8.8.8.8.8.8}{8.3.3.8}{8.3.3.8.3.3.8.3.3.8.3.3.8.3.3.8.3.3}{3.3.3.3} |
Dual tiling | ![Tiling details](/u_net_small_images/s2626_FSG_10_2_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.2:120:2 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 98 100 102 104 106 108 110 112 114 116 118 120,21 3 94 7 10 9 31 13 84 17 20 19 23 114 27 30 29 33 104 37 40 39 61 43 54 47 50 49 71 53 57 60 59 63 74 67 70 69 73 77 80 79 101 83 87 90 89 111 93 97 100 99 103 107 110 109 113 117 120 119,11 12 5 6 17 18 109 110 15 16 119 120 41 42 25 26 47 48 79 80 51 52 35 36 57 58 69 70 45 46 99 100 55 56 89 90 81 82 65 66 87 88 91 92 75 76 97 98 85 86 95 96 111 112 105 106 117 118 115 116:8 3 8 3 3 3 8 3 3 3 3 3 3 3 3,6 4 18 4 4 4 4 4 4 4 4> {(2, 28): 't3', (2, 29): 't3', (1, 93): 'tau2', (2, 58): 't2', (2, 59): 't2', (1, 113): 'tau2', (1, 53): 'tau1^-1', (1, 83): 'tau3^-1', (2, 48): 't3', (2, 49): 't3', (2, 18): 't1^-1', (2, 19): 't1^-1', (1, 73): 'tau1^-1', (2, 8): 't1^-1', (2, 9): 't1^-1', (2, 38): 't2', (2, 39): 't2', (1, 103): 'tau3^-1'}