U-tiling: UQC2451
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1624 |
*2626 |
(2,5,5) |
{7,4} |
{12.4.3.3.3.4.12}{3.3.6.3} |
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
|
|
sqc8222
|
|
R-3m |
166 |
rhombohedral |
{7,4} |
12 |
(2,5) |
|
G
|
False
|
|
sqc8228
|
|
R-3 |
148 |
rhombohedral |
{7,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc8220
|
|
R-3m |
166 |
rhombohedral |
{7,4} |
12 |
(2,5) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {12.4.3.3.3.4.12}{3.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<63.2:132:100 112 113 15 16 8 9 32 33 89 123 124 19 20 43 44 122 79 80 48 49 30 31 111 68 69 59 60 41 42 56 101 102 52 53 76 77 90 91 63 64 87 88 78 92 93 74 75 103 104 85 86 96 97 120 121 107 108 131 132 125 126 118 119 129 130,2 4 6 29 19 10 22 13 15 17 40 21 24 26 28 52 32 55 35 37 39 63 43 66 46 48 50 73 54 57 59 61 84 65 68 70 72 96 76 99 79 81 83 107 87 110 90 92 94 117 98 101 103 105 128 109 112 114 116 129 120 132 123 125 127 131,23 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 99 122 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132:12 4 3 3 6 3 4 3 4 3 3 3 3 3 3 3 3,7 4 7 4 4 7 7 4 4 7 7 4> {(0, 55): 'tau1^-1', (0, 0): 'tau2^-1', (0, 34): 't2', (0, 11): 'tau3', (0, 45): 't3', (0, 1): 't1^-1', (0, 23): 't3', (0, 77): 'tau1^-1', (0, 13): 't1^-1', (0, 22): 'tau2^-1', (0, 35): 't2', (0, 12): 't1^-1', (0, 57): 't2', (0, 2): 't1^-1', (0, 56): 't2', (0, 24): 't3', (0, 46): 't3', (0, 33): 'tau3', }