Wikimore

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.

$x=\cos \left({\frac {n}{d}}\theta \right)\cos(\theta ),\qquad y=\cos \left({\frac {n}{d}}\theta \right)\sin(\theta )$

{\frac {z_{up}}{z_{low}}}={\frac {60}{12}}\quad =\quad {\frac {n}{d}}={\frac {5}{1}}\quad =\quad k=5

Date

12 June 2017

Source

Own work

Author

Other versions

_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

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