U-tiling: UQC5115
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1905 |
*2626 |
(4,5,2) |
{24,4,4,6} |
{5.3.3.5.5.3.3.5.5.3.3.5.5.3.3.5... |
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
|
|
sqc8178
|
|
R-3m |
166 |
rhombohedral |
{24,4,4,6} |
11 |
(4,5) |
|
G
|
False
|
|
sqc8179
|
|
R-3m |
166 |
rhombohedral |
{24,4,4,6} |
11 |
(4,6) |
|
D
|
False
|
|
sqc8187
|
|
R-3m |
166 |
rhombohedral |
{24,4,4,6} |
11 |
(4,5) |
Topological data
| Vertex degrees | {24,4,4,6} |
| 2D vertex symbol | {5.3.3.5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3.5.5.3.3.5}{5.5.3.3}{3.3.3.3}{5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.2:132:23 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 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132,2 10 6 9 8 33 13 21 17 20 19 44 24 32 28 31 30 35 43 39 42 41 46 54 50 53 52 77 57 65 61 64 63 88 68 76 72 75 74 79 87 83 86 85 90 98 94 97 96 121 101 109 105 108 107 132 112 120 116 119 118 123 131 127 130 129,100 4 5 116 117 19 20 21 22 89 15 16 127 128 122 26 27 83 84 52 53 54 55 111 37 38 72 73 63 64 65 66 56 48 49 105 106 59 60 94 95 78 70 71 96 97 98 99 81 82 107 108 109 110 92 93 103 104 114 115 129 130 131 132 125 126:5 3 5 3 3 3 5 3 5 3 3 3 5 3 5 3 3 3,24 4 4 6 4 4 4 4 4 4 4> {(2, 60): 't2', (2, 61): 't2', (2, 27): 't3', (2, 77): 'tau1^-1', (2, 0): 'tau2^-1', (2, 22): 'tau2^-1', (2, 55): 'tau1^-1', (2, 16): 't1^-1', (2, 49): 't3', (2, 50): 't3', (2, 17): 't1^-1', (2, 28): 't3', (2, 11): 'tau3', (2, 5): 't1^-1', (2, 38): 't2', (2, 39): 't2', (2, 6): 't1^-1', (2, 33): 'tau3'}