U-tiling: UQC4417
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1259 |
*2244 |
(4,4,2) |
{4,3,4,4} |
{10.4.4.10}{10.10.4}{4.4.4.4}{10... |
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
|
|
sqc9175
|
|
P42/mmc |
131 |
tetragonal |
{4,3,4,4} |
20 |
(4,4) |
|
G
|
False
|
|
sqc9211
|
|
I-42d |
122 |
tetragonal |
{4,3,4,4} |
20 |
(4,5) |
|
D
|
False
|
|
sqc3047
|
|
P-42m |
111 |
tetragonal |
{3,4,4,4} |
10 |
(4,4) |
Topological data
| Vertex degrees | {4,3,4,4} |
| 2D vertex symbol | {10.4.4.10}{10.10.4}{4.4.4.4}{10.10.10.10} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<98.1:144:73 3 5 7 9 82 12 14 16 18 91 21 23 25 27 100 30 32 34 36 109 39 41 43 45 118 48 50 52 54 127 57 59 61 63 136 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144,2 8 6 23 25 63 11 17 15 32 34 72 20 26 24 36 29 35 33 38 44 42 59 61 54 47 53 51 68 70 56 62 60 65 71 69 74 80 78 95 97 135 83 89 87 104 106 144 92 98 96 108 101 107 105 110 116 114 131 133 126 119 125 123 140 142 128 134 132 137 143 141,10 4 5 15 16 26 27 13 14 35 36 37 22 23 42 43 46 31 32 51 52 40 41 62 63 49 50 71 72 64 58 59 69 70 67 68 82 76 77 87 88 98 99 85 86 107 108 109 94 95 114 115 118 103 104 123 124 112 113 134 135 121 122 143 144 136 130 131 141 142 139 140:10 4 10 4 10 10 4 4 4 4 4 4,4 3 4 4 3 4 4 3 3 4 4 3 4 4 3 4 4 3 3 4> {(1, 121): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 61): 't3^-1', (1, 123): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (2, 52): 't3*tau2*t3', (2, 53): 't3*tau2*t3', (1, 114): 'tau1', (2, 62): 't3^-1', (2, 50): 't3*tau2*t1^-1', (2, 51): 't3*tau2*t1^-1', (2, 45): 't3*tau2*t1^-1', (1, 96): 't2^-1', (2, 34): 't1', (2, 35): 't1', (1, 89): 't1^-1*tau2*t3', (1, 85): 'tau3', (1, 87): 'tau3', (2, 142): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 143): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 76): 't2', (1, 112): 'tau1', (2, 133): 'tau1^-1', (2, 134): 'tau1^-1', (1, 69): 't3^-1*tau2^-1*t3^-1', (1, 71): 't3^-1*tau2^-1*t1', (1, 58): 't3^-1', (1, 60): 't3^-1', (2, 122): 't3*tau2*t1^-1', (2, 123): 't3*tau2*t1^-1', (1, 49): 't3*tau2*t3', (2, 117): 't3*tau2*t1^-1', (2, 106): 'tau3^-1', (2, 107): 'tau3^-1', (2, 97): 't2^-1', (2, 98): 't2^-1', (1, 13): 't1^-1', (1, 15): 't1^-1'}