File:Rose Curve animation with Gears n5 d1.gif

Summary

Description

English: Rose crated with gears. The figures shape is determined by the gear ratio between the upper and the lower wheel.

Deutsch: Rosette erstellt mit Zahnrädern. Die Figur ergibt sich aus dem Übersetzungsverhältnis zwischen dem oberen und dem unteren Rad.

$x = \cos (\frac{n}{d} θ) \cos (θ), y = \cos (\frac{n}{d} θ) \sin (θ)$

\frac{z_{u p}}{z_{l o w}} = \frac{60}{12} = \frac{n}{d} = \frac{5}{1} = k = 5

Date

12 June 2017

Source

Own work

Author

Jahobr

Other versions

[edit]

_d＼ⁿ	1	2	3	4	5	6
1	1:1 (with code)	2:1	3:1	4:1	5:1	6:1
2	1:2	2:2 (see 1:1)	3:2	4:2 (see 2:1)	5:2	6:2 (see 3:1)
3	1:3	2:3	3:3 (see 1:1)	4:3	5:3	6:3 (see 2:1)
4	1:4	2:4 (see 1:2)	3:4	4:4 (see 1:1)	5:4	6:4 (see 3:2)
5	1:5	2:5	3:5	4:5	5:5 (see 1:1)	6:5
6	1:6	2:6 (see 1:3)	3:6 (see 1:2)	4:6 (see 2:3)	5:6	6:6 (see 1:1)
7	1:7	2:7	3:7	4:7	5:7	6:7
8	1:8	2:8 (see 1:4)	3:8	4:8 (see 1:2)	5:8	6:8 (see 3:4)
9	1:9	2:9	3:9 (see 1:3)	4:9	5:9	6:9 (see 2:3)
10	1:10	2:10 (see 1:5)	3:10	4:10 (see 2:5)	5:10 (see 1:2)	6:10 (see 3:5)

GIF development

This diagram was created with MATLAB by Jahobr.

Source code

Code is given in the animated version Rose Curve animation with Gears n1 d1.gif

Licensing

I, the copyright holder of this work, hereby publish it under the following license:

	This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
	The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission. CC0falsefalse

Uploaded by	Jahobr
Upload date	2019-04-14T17:45:58Z
MIME type	image/gif
Dimensions	270 × 401 px
File size	7.4 MB

File:Rose Curve animation with Gears n5 d1.gif

Summary

Licensing

Captions

Items portrayed in this file

depicts

rose

spur gear train

creator

some value

copyright status

copyrighted, dedicated to the public domain by copyright holder

copyright license

Creative Commons CC0 License

source of file

original creation by uploader

inception

12 June 2017

data size

7,781,451 byte

height

401 pixel

width

270 pixel

media type

image/gif

checksum

983d61a4d7d4cc1b92b2611a9517b73cf5389ef4