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
&space;=&space;A_1&space;\sin&space;(f_1&space;t&space;+&space;p_1)&space;e^{-d_1t}&space;+&space;A_2&space;\sin(f_2&space;t&space;+&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;+&space;p_3)&space;e^{-d_3t}&space;+&space;A_4&space;\sin(f_4&space;t&space;+&space;p_4)&space;e^{-d_4&space;t}&space;\end{align*})
The swallow curve has parameters
&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*})
▶️ DTube
▶️ IPFS
Source
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.
More information and tips on sharing content.
If you believe this comment is in error, please contact us in #disputes on Discord
This is an amazing experience