U-tiling: UQC1497
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc957 |
*2244 |
(2,4,4) |
{6,3} |
{4.4.4.8.4.4}{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
|
False
|
|
sqc8916
|
|
P42/mmc |
131 |
tetragonal |
{3,6} |
16 |
(2,4) |
|
G
|
False
|
|
sqc8701
|
|
I-42d |
122 |
tetragonal |
{3,6} |
16 |
(2,5) |
|
D
|
False
|
|
sqc2777
|
|
P-42m |
111 |
tetragonal |
{3,6} |
8 |
(2,4) |
Topological data
| Vertex degrees | {6,3} |
| 2D vertex symbol | {4.4.4.8.4.4}{4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<80.1:144:73 4 5 78 79 17 18 82 13 14 87 88 91 22 23 96 97 44 45 100 31 32 105 106 53 54 109 40 41 114 115 118 49 50 123 124 127 58 59 132 133 71 72 136 67 68 141 142 76 77 89 90 85 86 94 95 116 117 103 104 125 126 112 113 121 122 130 131 143 144 139 140,2 57 6 23 8 27 11 66 15 32 17 36 20 30 24 26 29 33 35 38 48 42 59 44 63 47 51 68 53 72 56 60 62 65 69 71 74 129 78 95 80 99 83 138 87 104 89 108 92 102 96 98 101 105 107 110 120 114 131 116 135 119 123 140 125 144 128 132 134 137 141 143,55 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 8 4 4 4 4 4 4 4 4 4 4 4 4 8 4,3 6 3 6 3 3 6 6 3 6 3 6 3 3 6 6> {(0, 124): 't3*tau2*t1^-1', (2, 135): 't3^-1*tau2^-1*t1', (1, 83): 't1^-1*tau2*t3', (1, 103): 'tau3^-1', (1, 11): 't1^-1*tau2*t3', (0, 125): 't3*tau2*t1^-1', (0, 52): 't3*tau2*t1^-1', (0, 35): 't1*tau2^-1*t3^-1', (1, 71): 't3^-1*tau2^-1*t3^-1', (1, 125): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 107): 'tau3^-1', (1, 94): 't2^-1', (1, 116): 'tau1', (1, 98): 't2^-1', (1, 67): 't3^-1*tau2^-1*t3^-1', (1, 121): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 112): 'tau1', (2, 63): 't3^-1*tau2^-1*t1', (1, 62): 't3^-1', (1, 31): 't1', (1, 35): 't1', (1, 58): 't3^-1', }