U-tiling: UQC1545
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1035 |
*2244 |
(2,4,4) |
{5,4} |
{4.4.8.4.4}{4.4.4.8} |
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
|
|
sqc8068
|
|
P42/mmc |
131 |
tetragonal |
{4,4} |
16 |
(2,4) |
|
G
|
False
|
|
sqc8731
|
|
I-42d |
122 |
tetragonal |
{5,4} |
16 |
(2,5) |
|
D
|
False
|
|
sqc2684
|
|
P-42m |
111 |
tetragonal |
{4,5} |
8 |
(2,4) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {4.4.8.4.4}{4.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<90.1:144:73 11 12 6 7 17 18 82 15 16 91 38 39 24 25 44 45 100 47 48 33 34 53 54 109 42 43 118 51 52 127 65 66 60 61 71 72 136 69 70 83 84 78 79 89 90 87 88 110 111 96 97 116 117 119 120 105 106 125 126 114 115 123 124 137 138 132 133 143 144 141 142,2 4 59 8 25 27 11 13 68 17 34 36 20 22 32 26 29 31 35 38 40 50 44 61 63 47 49 53 70 72 56 58 62 65 67 71 74 76 131 80 97 99 83 85 140 89 106 108 92 94 104 98 101 103 107 110 112 122 116 133 135 119 121 125 142 144 128 130 134 137 139 143,55 3 5 7 9 64 12 14 16 18 28 21 23 25 27 30 32 34 36 46 39 41 43 45 48 50 52 54 57 59 61 63 66 68 70 72 127 75 77 79 81 136 84 86 88 90 100 93 95 97 99 102 104 106 108 118 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144:4 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4,5 4 5 4 5 5 4 4 5 4 5 4 5 5 4 4> {(0, 124): 't3*tau2*t1^-1', (1, 123): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 114): 'tau1', (1, 60): 't3^-1', (1, 33): 't1', (0, 125): 't3*tau2*t1^-1', (0, 52): 't3*tau2*t1^-1', (0, 118): 't3*tau2*t1^-1', (1, 71): 't3^-1*tau2^-1*t3^-1', (1, 125): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (0, 46): 't3*tau2*t1^-1', (1, 116): 'tau1', (1, 98): 't2^-1', (1, 85): 't1^-1*tau2*t3', (1, 13): 't1^-1*tau2*t3', (0, 53): 't3*tau2*t1^-1', (0, 119): 't3*tau2*t1^-1', (2, 63): 't3^-1*tau2^-1*t1', (0, 47): 't3*tau2*t1^-1', (1, 62): 't3^-1', (1, 35): 't1', (1, 89): 'tau3', (2, 81): 't1^-1*tau2*t3', (1, 69): 't3^-1*tau2^-1*t3^-1', (1, 105): 'tau3^-1', (1, 96): 't2^-1', }