U-tiling: UQC4169
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc126 |
*2(12)(12) |
(2,3,2) |
{4,12} |
{24.3.3.24}{3.3.3.3.3.3.3.3.3.3.... |
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
|
|
sqc7254
|
|
R-3m |
166 |
rhombohedral |
{4,4,12} |
13 |
(3,5) |
|
G
|
False
|
|
sqc7255
|
|
R-3 |
148 |
rhombohedral |
{4,4,12} |
13 |
(3,6) |
|
D
|
False
|
|
sqc7254
|
|
R-3m |
166 |
rhombohedral |
{4,4,12} |
13 |
(3,5) |
Topological data
| Vertex degrees | {4,4,12} |
| 2D vertex symbol | {24.3.3.24}{24.24.3.3}{3.3.3.3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:120:91 3 5 7 9 110 81 13 15 17 19 120 111 23 25 27 29 80 101 33 35 37 39 70 51 43 45 47 49 100 53 55 57 59 90 71 63 65 67 69 73 75 77 79 83 85 87 89 93 95 97 99 103 105 107 109 113 115 117 119,2 10 6 9 8 12 20 16 19 18 22 30 26 29 28 32 40 36 39 38 42 50 46 49 48 52 60 56 59 58 62 70 66 69 68 72 80 76 79 78 82 90 86 89 88 92 100 96 99 98 102 110 106 109 108 112 120 116 119 118,21 4 5 26 27 18 19 20 31 14 15 36 37 24 25 48 49 50 34 35 58 59 60 61 44 45 66 67 71 54 55 76 77 64 65 88 89 90 74 75 98 99 100 101 84 85 106 107 111 94 95 116 117 104 105 118 119 120 114 115:24 3 3 3 3 3 3 3 3 3 3 3 3,4 4 12 4 4 4 4 4 4 4 4 4 4> {(0, 59): 't2', (0, 30): 'tau3', (0, 60): 'tau1', (0, 29): 't3', (0, 50): 'tau1^-1', (0, 19): 't1^-1', (0, 49): 't3', (0, 20): 'tau2^-1', (0, 10): 'tau3', (0, 9): 't1^-1', (0, 0): 'tau2^-1', (0, 39): 't2'}