CODEWITHSUNDEEP
mathluageometryg-code
Ashkan Khajeh
Ashkan Khajeh

Reputation: 3

moving an object around a Circle

I am going to draw a shape like a gear, how can I move a tooth around a circle? Something like the image below : circle

For example, I need to draw 20 teeth at equal intervals around a circle with a diameter of 50 mm. I am doing this for a G-code generator program I draw a tooth first ,Then it is necessary to draw these teeth, which can be adjusted to the desired number by the user, according to the diameter of the gear wheel around a circle For example, this is a G-code for drawing one tooth :

G90
G21
G1 X0 Y0 
G1 X5 Y10
G1 X10 Y10
G1 X15 Y0

You can view the output using this site : https://ncviewer.com/

What is the equation to do this? I am currently programming using Lua language

Upvotes: 0

Views: 57

Answers (1)

Simon Goater
Simon Goater

Reputation: 1908

n equidistant points on a circle of radius r can be defined (in radians) by

theta = 2pi/n
(x_i, y_i) = (r*cos(i*theta), r*sin(i*theta))

for 0 <= i < n. In degrees, the equivalent would be

theta = 360/n
(x_i, y_i) = (r*cos(i*theta), r*sin(i*theta))

Upvotes: 0

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