Browse Search Popular Register Upload Rules User list Login:
Search:
cyclogon 1

Image:
screenshot of the scene

Author: oddity

Group: Default

Filesize: 15.06 kB

Date added: 2017-07-27

Rating: 5

Downloads: 425

Views: 155

Comments: 0

Ratings: 1

Times favored: 0

Made with: Algodoo v2.1.0

Tags:

Scene tag

In mathematics, in geometry, a cyclogon is the curve traced by a vertex of a polygon that rolls without slipping along a straight line.[1][2] There are no restrictions on the nature of the polygon. It can be a regular polygon like an equilateral triangle or a square. The polygon need not even be convex: it could even be a star-shaped polygon. More generally, the curves traced by points other than vertices have also been considered. In such cases it would be assumed that the tracing point is rigidly attached to the polygon. If the tracing point is located outside the polygon, then the curve is called a prolate cyclogon, and if it lies inside the polygon it is called a curtate cyclogon.
In the limit, as the number of sides increases to infinity, the cyclogon becomes a cycloid.[3]
The cyclogon has an interesting property regarding its area. [3] Let A denote the area of the region above the line and below one of the arches, let P denote the area of the rolling polygon, and let C denote the area of the disk that circumscribes the polygon. For every cyclogon generated by a regular polygon,
Please log in to rate this scene
edit
Similar scenes
Title: cyclogon 2
Rating: 5
Filesize: 17.64 kB
Downloads: 376
Comments: 0
Ratings: 1
Date added: 2017/07/27 10:12:09
Made with: Algodoo v2.1.0
Rating: rated 5
download
Title: cyclogon 3
Rating: 5
Filesize: 14.1 kB
Downloads: 330
Comments: 0
Ratings: 1
Date added: 2017/07/27 10:14:36
Made with: Algodoo v2.1.0
Rating: rated 5
download
Title: irreglaur cyclogon 1
Rating: 5
Filesize: 21.36 kB
Downloads: 291
Comments: 1
Ratings: 1
Date added: 2017/07/27 10:18:31
Made with: Algodoo v2.1.0
Rating: rated 5
download
Title: stupid cyclogon
Rating: 5
Filesize: 15.17 kB
Downloads: 61
Comments: 0
Ratings: 1
Date added: 2017/07/27 14:37:56
Made with: Algodoo v2.1.0
Rating: rated 5
download
Title: stupid cyclogon
Rating: 5
Filesize: 18.71 kB
Downloads: 71
Comments: 0
Ratings: 1
Date added: 2017/07/27 14:38:13
Made with: Algodoo v2.1.0
Rating: rated 5
download