U-tiling: UQC2044
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1663 |
*2626 |
(2,5,4) |
{4,18} |
{12.4.3.4}{3.4.4.3.4.4.3.4.4.3.4... |
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
|
|
sqc8184
|
|
R-3m |
166 |
rhombohedral |
{18,4} |
13 |
(2,5) |
|
G
|
False
|
|
sqc8176
|
|
R-3 |
148 |
rhombohedral |
{18,4,4} |
13 |
(3,6) |
|
D
|
False
|
|
sqc8194
|
|
R-3m |
166 |
rhombohedral |
{18,4} |
13 |
(2,5) |
Topological data
| Vertex degrees | {18,4} |
| 2D vertex symbol | {12.4.3.4}{3.4.4.3.4.4.3.4.4.3.4.4.3.4.4.3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.2:132:100 4 5 105 106 118 119 21 22 89 15 16 94 95 129 130 122 26 27 127 128 85 86 54 55 111 37 38 116 117 74 75 65 66 56 48 49 61 62 107 108 59 60 96 97 78 70 71 83 84 98 99 81 82 109 110 92 93 103 104 114 115 131 132 125 126,2 14 6 11 8 10 13 17 22 19 21 24 47 28 33 30 32 35 58 39 44 41 43 46 50 55 52 54 57 61 66 63 65 68 91 72 77 74 76 79 102 83 88 85 87 90 94 99 96 98 101 105 110 107 109 112 124 116 121 118 120 123 127 132 129 131,23 3 5 7 9 11 34 14 16 18 20 22 25 27 29 31 33 36 38 40 42 44 67 47 49 51 53 55 78 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 111 91 93 95 97 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132:4 3 12 4 4 4 3 4 4 3 4 4 4 3 3 3,18 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 29): 't3', (0, 51): 't3', (0, 41): 't2', (0, 18): 't1^-1', (0, 8): 't1^-1', (0, 62): 't2', (0, 55): 'tau1^-1', (0, 22): 'tau2^-1', (0, 5): 'tau2^-1', (0, 38): 'tau3', (0, 19): 't1^-1', (0, 63): 't2', (0, 30): 't3', (0, 52): 't3', (0, 27): 'tau2^-1', (0, 39): 'tau3', (0, 16): 'tau3', (0, 6): 'tau2^-1', (0, 60): 'tau1^-1', (0, 82): 'tau1^-1', (0, 17): 'tau3', (0, 7): 't1^-1', (0, 61): 'tau1^-1', (0, 83): 'tau1^-1', (0, 28): 'tau2^-1', (0, 40): 't2', (0, 11): 'tau3', (0, 33): 'tau3', (0, 0): 'tau2^-1', (0, 77): 'tau1^-1', }