U-tiling: UQC4384
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1237 |
*2244 |
(4,4,2) |
{4,3,3,4} |
{7.7.7.7}{7.8.7}{7.7.8}{7.7.7.7} |
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
|
|
sqc8388
|
|
P42/mmc |
131 |
tetragonal |
{3,3,3,4} |
22 |
(4,4) |
|
G
|
False
|
|
sqc8834
|
|
I-42d |
122 |
tetragonal |
{4,3,3,4} |
22 |
(4,5) |
|
D
|
False
|
|
sqc3048
|
|
P-42m |
111 |
tetragonal |
{4,3,3,4} |
11 |
(4,4) |
Topological data
| Vertex degrees | {4,3,3,4} |
| 2D vertex symbol | {7.7.7.7}{7.8.7}{7.7.8}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<92.1:144:55 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 99 102 104 106 108 118 111 113 115 117 120 122 124 126 129 131 133 135 138 140 142 144,2 4 8 15 25 63 11 13 17 34 72 20 22 26 42 36 29 31 35 51 38 40 44 61 54 47 49 53 70 56 58 62 69 65 67 71 74 76 80 87 97 135 83 85 89 106 144 92 94 98 114 108 101 103 107 123 110 112 116 133 126 119 121 125 142 128 130 134 141 137 139 143,73 11 12 6 7 26 27 82 15 16 35 36 91 38 39 24 25 100 47 48 33 34 109 42 43 62 63 118 51 52 71 72 127 65 66 60 61 136 69 70 83 84 78 79 98 99 87 88 107 108 110 111 96 97 119 120 105 106 114 115 134 135 123 124 143 144 137 138 132 133 141 142:7 8 7 7 7 7 8 7 7 7,4 3 3 4 3 4 3 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3> {(2, 61): 't3^-1', (1, 123): 't3*tau2*t1^-1*tau3^-1*t2*tau1', (1, 122): 't3*tau2*t1^-1', (0, 63): 't3^-1*tau2^-1*t1', (2, 52): 't3*tau2*t3', (2, 53): 't3*tau2*t3', (1, 114): 'tau1', (2, 62): 't3^-1', (2, 46): 't3*tau2*t1^-1', (2, 47): 't3*tau2*t1^-1', (1, 96): 't2^-1', (2, 34): 't1', (2, 35): 't1', (1, 89): 't1^-1*tau2*t3', (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', (2, 133): 'tau1^-1', (2, 134): 'tau1^-1', (1, 69): 't3^-1*tau2^-1*t3^-1', (1, 71): 't3^-1*tau2^-1*t1', (1, 60): 't3^-1', (2, 118): 't3*tau2*t1^-1', (2, 119): 't3*tau2*t1^-1', (2, 106): 'tau3^-1', (2, 107): 'tau3^-1', (1, 32): 't1*tau2^-1*t3^-1', (2, 97): 't2^-1', (2, 98): 't2^-1', (0, 81): 't1^-1*tau2*t3', (1, 15): 't1^-1'}