U-tiling: UQC5212
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc49 |
*24(12) |
(2,2,1) |
{24,4} |
{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3... |
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
|
True
|
|
sqc1456
|
|
Pm-3m |
221 |
cubic |
{4,18} |
4 |
(2,2) |
|
G
|
True
|
|
sqc1603
|
|
R-3m |
166 |
rhombohedral |
{4,20} |
4 |
(2,4) |
|
D
|
True
|
|
sqc1456
|
|
Pm-3m |
221 |
cubic |
{4,18} |
4 |
(2,2) |
Topological data
| Vertex degrees | {4,24,24,4} |
| 2D vertex symbol | {3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:144:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144,3 6 5 9 12 11 15 18 17 21 24 23 27 30 29 33 36 35 39 42 41 45 48 47 51 54 53 57 60 59 63 66 65 69 72 71 75 78 77 81 84 83 87 90 89 93 96 95 99 102 101 105 108 107 111 114 113 117 120 119 123 126 125 129 132 131 135 138 137 141 144 143,109 110 27 28 7 8 21 22 131 132 97 98 39 40 19 20 143 144 133 134 31 32 57 58 95 96 121 122 43 44 69 70 83 84 61 62 75 76 55 56 119 120 87 88 67 68 107 108 85 86 79 80 105 106 91 92 117 118 123 124 103 104 135 136 115 116 127 128 141 142 139 140:3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,4 24 24 4 4 4 4 4> {(2, 60): 'tau1^-1', (2, 61): 'tau1^-1', (2, 58): 't3', (2, 59): 't3', (2, 46): 't2', (2, 47): 't2', (2, 36): 'tau3', (2, 37): 'tau3', (2, 34): 't3', (2, 35): 't3', (2, 24): 'tau2^-1', (2, 25): 'tau2^-1', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 12): 'tau3', (2, 13): 'tau3', (2, 10): 't1^-1', (2, 11): 't1^-1', (2, 0): 'tau2^-1', (2, 1): 'tau2^-1', (2, 106): 't2^-1', (2, 107): 't2^-1', (2, 84): 'tau1^-1', (2, 85): 'tau1^-1'}