create account

Swallow Curve by mathsolver

View this thread on: hive.blogpeakd.comecency.com
· @mathsolver ·
$0.11
Swallow Curve
<center><a href='https://d.tube/#!/v/mathsolver/71rry3kc'><img src='https://ipfs.io/ipfs/QmPVstWXg5zC3Dqs2zfwwSh2wXYLRvLTLqPTcvxou1nJyC'></a></center><hr>

A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves, or related drawings of greater complexity. 

A typical harmonograph has two pendulums that move in such a fashion, and a pen that is moved by two perpendicular rods connected to these pendulums. Therefore, the path of the harmonograph figure is described by the parametric equations

<center> <img src="http://latex.codecogs.com/gif.latex?\begin{align*}&space;x(t)&space;=&space;A_1&space;\sin&space;(f_1&space;t&space;&plus;&space;p_1)&space;e^{-d_1t}&space;&plus;&space;A_2&space;\sin(f_2&space;t&space;&plus;&space;p_2)&space;e^{-d_2&space;t}&space;\\&space;y(t)&space;=&space;A_3&space;\sin&space;(f_3&space;t&space;&plus;&space;p_3)&space;e^{-d_3t}&space;&plus;&space;A_4&space;\sin(f_4&space;t&space;&plus;&space;p_4)&space;e^{-d_4&space;t}&space;\end{align*}" title="\begin{align*} x(t) = A_1 \sin (f_1 t + p_1) e^{-d_1t} + A_2 \sin(f_2 t + p_2) e^{-d_2 t} \\ y(t) = A_3 \sin (f_3 t + p_3) e^{-d_3t} + A_4 \sin(f_4 t + p_4) e^{-d_4 t} \end{align*}" /> </center>

The swallow curve has parameters 

<center> <img src="http://latex.codecogs.com/gif.latex?\begin{align*}&space;&A=&space;(7,&space;5,&space;2,&space;5)&space;\\&space;&f&space;=&space;(2,&space;1,&space;9,&space;6)&space;\\&space;&p&space;=&space;(0,&space;\pi,&space;\pi/2,&space;\pi/2)&space;\\&space;&d&space;=&space;(0.02,&space;0.002,&space;0.02,&space;0.002)\\&space;\end{align*}" title="\begin{align*} &A= (7, 5, 2, 5) \\ &f = (2, 1, 9, 6) \\ &p = (0, \pi, \pi/2, \pi/2) \\ &d = (0.02, 0.002, 0.02, 0.002)\\ \end{align*}" /></center>

<hr><a href='https://d.tube/#!/v/mathsolver/71rry3kc'> ▶️ DTube</a><br /><a href='https://ipfs.io/ipfs/QmRuUMdbUvqKP1HRXcGa1ApBCsjdKkx3AtbjRQZkRYGAqz'> ▶️ IPFS</a>
👍  , , , , , , ,
properties (23)
authormathsolver
permlink71rry3kc
categoryart
json_metadata"{"video":{"info":{"title":"Swallow Curve","snaphash":"Qmd4nnETq2WxSqqL8DPqa1dKSUt1ZgL53fhPbnTj4rJ3E1","author":"mathsolver","permlink":"71rry3kc","duration":125.033233,"filesize":34215675,"spritehash":"QmceovNXGCL1ZaHh5jXw2FNzByNuEZ7rJWtVzdnA6zf3GX"},"content":{"videohash":"QmRuUMdbUvqKP1HRXcGa1ApBCsjdKkx3AtbjRQZkRYGAqz","description":"A parametric curve depicting swallow. ","tags":["art","animation","computer","math"],"video240hash":"QmQAdhPJ3eq3BxPvetWme9Xzve7sjT7jSYcJo9LGpuTRjj","video480hash":"QmTdRSnh2MoWyQpgTG9jAVbAAraJE3KGFnb8BPCdMaCuu4"}},"tags":["art","animation","computer","math","dtube"],"app":"dtube/0.8"}"
created2018-09-01 05:14:24
last_update2018-09-01 05:14:24
depth0
children2
last_payout2018-09-08 05:14:24
cashout_time1969-12-31 23:59:59
total_payout_value0.092 HBD
curator_payout_value0.015 HBD
pending_payout_value0.000 HBD
promoted0.000 HBD
body_length1,977
author_reputation1,337,981,311,807
root_title"Swallow Curve"
beneficiaries
0.
accountdtube
weight2,500
max_accepted_payout1,000,000.000 HBD
percent_hbd10,000
post_id69,963,866
net_rshares109,781,527,170
author_curate_reward""
vote details (8)
@quevo ·
0ewp5eym7
This is an amazing experience 
properties (22)
authorquevo
permlink0ewp5eym7
categoryart
json_metadata{"app":"dtube/0.8"}
created2018-09-01 06:36:21
last_update2018-09-01 06:36:21
depth1
children0
last_payout2018-09-08 06:36:21
cashout_time1969-12-31 23:59:59
total_payout_value0.000 HBD
curator_payout_value0.000 HBD
pending_payout_value0.000 HBD
promoted0.000 HBD
body_length30
author_reputation2,257,685,152,287
root_title"Swallow Curve"
beneficiaries[]
max_accepted_payout1,000,000.000 HBD
percent_hbd10,000
post_id69,968,327
net_rshares0
@steemcleaners ·
$0.99
[Source](https://en.wikipedia.org/wiki/Harmonograph)
[Plagiarism](http://www.plagiarism.org/plagiarism-101/what-is-plagiarism/) is the copying & pasting of others work without giving credit to the original author or artist. Plagiarized posts are considered spam. 

Spam is discouraged by the community, and may result in action from the [cheetah bot](https://steemit.com/faq.html#What_is__cheetah).

[More information and tips on sharing content.](https://steemcleaners.org/copy-paste-plagiarism/)

If you believe this comment is in error, please contact us in [#disputes on Discord](https://discord.gg/YR2Wy5A)
👍  , , , ,
properties (23)
authorsteemcleaners
permlinkre-mathsolver-71rry3kc-20180903t024252391z
categoryart
json_metadata{"app":"steemcleaners/0.3","format":"markdown+html","community":"steemcleaners"}
created2018-09-03 02:42:54
last_update2018-09-03 02:42:54
depth1
children0
last_payout2018-09-10 02:42:54
cashout_time1969-12-31 23:59:59
total_payout_value0.745 HBD
curator_payout_value0.240 HBD
pending_payout_value0.000 HBD
promoted0.000 HBD
body_length617
author_reputation2,789,224,428,782,668
root_title"Swallow Curve"
beneficiaries[]
max_accepted_payout1,000,000.000 HBD
percent_hbd10,000
post_id70,143,132
net_rshares808,010,699,655
author_curate_reward""
vote details (5)