U-tiling: UQC3737
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc0821.jpg) |
hqc821 |
*22222 |
(3,4,2) |
{4,4,4} |
{6.5.5.6}{6.5.6.5}{5.5.5.5} |
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
|
|
sqc7174
|
|
P4/mmm |
123 |
tetragonal |
{4,4,3} |
16 |
(3,4) |
G
|
False
|
|
sqc7602
|
|
I4122 |
98 |
tetragonal |
{4,4,4} |
16 |
(3,5) |
D
|
False
|
|
sqc2105
|
|
P4222 |
93 |
tetragonal |
{4,4,4} |
8 |
(3,4) |
Topological data
Vertex degrees | {4,4,4} |
2D vertex symbol | {6.5.5.6}{6.5.6.5}{5.5.5.5} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222a_FSGG_32_5_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.5:128:9 3 5 7 80 11 13 15 64 25 19 21 23 96 27 29 31 88 57 35 37 39 112 73 43 45 47 104 81 51 53 55 128 59 61 63 89 67 69 71 120 75 77 79 83 85 87 91 93 95 105 99 101 103 107 109 111 121 115 117 119 123 125 127,2 19 6 77 8 10 27 14 61 16 18 22 93 24 26 30 85 32 34 51 38 109 40 42 67 46 101 48 50 54 125 56 58 83 62 64 66 70 117 72 74 91 78 80 82 86 88 90 94 96 98 115 102 104 106 123 110 112 114 118 120 122 126 128,17 4 5 22 23 40 25 12 13 30 31 48 20 21 56 28 29 72 49 36 37 54 55 65 44 45 70 71 52 53 81 60 61 86 87 104 68 69 89 76 77 94 95 112 84 85 120 92 93 128 113 100 101 118 119 121 108 109 126 127 116 117 124 125:6 5 5 5 5 6 5 6 5 5 5 6,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 't3^-1*tau2^-1', (2, 62): 't3^-1*tau2^-1', (1, 122): 'tau2^-1*t3^-1', (2, 56): 't3^-1*tau2^-1', (0, 48): 'tau2^-1', (1, 114): 't1*tau3*t2^-1', (0, 56): 't3^-1', (0, 40): 't2', (2, 29): 't1', (0, 24): 't1', (2, 31): 't1', (2, 24): 't1', (0, 23): 't1^-1', (2, 14): 't1^-1', (1, 66): 'tau3*t2^-1', (1, 68): 't1^-1', (2, 125): 't1^-1*tau3^-1*t2', (2, 127): 't1^-1', (2, 120): 't1^-1*tau3^-1*t2', (2, 118): 'tau2*t3', (2, 117): 'tau2*t3', (0, 112): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 50): 'tau2^-1*t3^-1', (2, 112): 'tau2*t3', (0, 88): 'tau3^-1', (2, 110): 't2^-1*tau3*t1', (0, 96): 'tau1^-1', (2, 93): 'tau3^-1*t2', (2, 94): 'tau3^-1*t2', (2, 88): 'tau3^-1*t2', (1, 18): 't1^-1', (1, 20): 't1^-1', (0, 71): 't1^-1'}