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#1 2011-11-22 00:41:30
- benice
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Rolling Regular Polygons around a Circle
Rolling Regular Polygons around a Circle:
(1) Polygonal Epicycloid
(2) Polygonal Epitrochoid (new!)
Last edited by benice (2011-11-28 21:14:22)
My Gallery of Math Art: benice equation
#2 2011-11-22 00:46:54
- bobbym
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Re: Rolling Regular Polygons around a Circle
Hi benice;
Good use of geogebra!
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#3 2011-11-22 00:52:10
- bob bundy
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Re: Rolling Regular Polygons around a Circle
hi benice,
That's real mathematical beauty. Excellent! 
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
#4 2011-11-28 00:51:00
- benice
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Re: Rolling Regular Polygons around a Circle
Hello everyone!
Thank you for your appreciation.
Polygonal Epitrochoid
My Gallery of Math Art: benice equation
#5 2011-11-28 01:16:09
- bobbym
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Re: Rolling Regular Polygons around a Circle
Hi benice;
Those are really cool! Here is my favorite:
In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.
#6 2011-12-02 10:59:49
- John E. Franklin
- Star Member
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Re: Rolling Regular Polygons around a Circle
When a corner is pivoting, all is easy, however, when the edge of the polygon is rolling of the circle, things get harder, in my "at a glance" opinion. Consider rolling along a flat edge instead of a circle, then the edge rolling doesn't happen.
Imagine for a moment that even an earthworm may possess a love of self and a love of others.