Showing posts with label Cycloid. Show all posts
Showing posts with label Cycloid. Show all posts

Friday, December 12, 2014

Cycloid "The Helen of Geometry"

x=a(-sin), y=a(1-cos).... What?

A few days ago, I met an old post about Cycloid in Revit from Aaron's "Malleristic Revitation". It was a really mind blowing post. After reading it, I just thought that what if a real wheel can be rolled on a string? It must be much easier to get a cycloid shape if it's possible. So I tried as below.

1. A Rolling Wheel



At the above picture, it's easy to know that Position1 on a straight line and Position2 on a circle have to be associated each other when it rolled. It means  Normalized Cuve Parameter of both points are same on both hosts; line & circle. (Actually it can be a little different)