U-tiling: UQC1406
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc700 |
*2244 |
(2,3,4) |
{6,4} |
{4.3.6.4.6.3}{3.6.3.6} |
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
|
|
sqc7574
|
|
P42/mmc |
131 |
tetragonal |
{4,6} |
12 |
(2,3) |
|
G
|
False
|
|
sqc7572
|
|
I-42d |
122 |
tetragonal |
{4,6} |
12 |
(2,4) |
|
D
|
False
|
|
sqc1892
|
|
P-42m |
111 |
tetragonal |
{6,4} |
6 |
(2,3) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {4.3.6.4.6.3}{3.6.3.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<68.1:128:3 4 53 54 15 16 11 12 61 62 19 20 29 30 39 40 27 28 47 48 35 36 45 46 43 44 51 52 63 64 59 60 67 68 117 118 79 80 75 76 125 126 83 84 93 94 103 104 91 92 111 112 99 100 109 110 107 108 115 116 127 128 123 124,49 66 5 7 22 24 57 74 13 15 30 32 25 82 21 23 90 29 31 41 98 37 39 54 56 106 45 47 62 64 114 53 55 122 61 63 113 69 71 86 88 121 77 79 94 96 89 85 87 93 95 105 101 103 118 120 109 111 126 128 117 119 125 127,2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128:3 6 4 4 3 3 6 6 3 6 3 4 4 3 3 3,4 6 4 6 4 4 6 6 6 6 6 6> {(0, 124): 't3^-1*tau2^-1*t1', (1, 87): 't2^-1', (0, 111): 't3*tau2*t1^-1', (1, 29): 't1', (1, 95): 'tau3^-1', (1, 117): 'tau1^-1', (0, 125): 't3^-1*tau2^-1*t1', (1, 55): 't3^-1', (1, 125): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 46): 't3*tau2*t1^-1', (1, 63): 't3^-1*tau2^-1*t3^-1', (1, 85): 't2^-1', (0, 60): 't3^-1*tau2^-1*t1', (1, 120): 't3^-1*tau2^-1*t1', (1, 56): 't3^-1*tau2^-1*t1', (0, 47): 't3*tau2*t1^-1', (1, 93): 'tau3^-1', (1, 31): 't1', (1, 53): 't3^-1', (0, 61): 't3^-1*tau2^-1*t1', (1, 119): 'tau1^-1', (1, 61): 't3^-1*tau2^-1*t3^-1', (0, 110): 't3*tau2*t1^-1', (1, 127): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', }