Friday, January 18, 2019

Nested Ellipses (Ellipse Whirl)



These animations are constructed by shrinking and rotating
a sequence of concentric and similar ellipses,
so that each ellipse lies inside the previous ellipse and is tangent to it.

這些動畫是藉由收縮和旋轉
一序列同心且相似的橢圓來構造的,
使得每個橢圓都位於前一個橢圓內並與之相切。


All the angles of rotations are equal to 5°.


All the angles of rotations are equal to 10°.


All the angles of rotations are equal to 15°.


The angles of rotations are 0.5°, 1°, 1.5°, 2°, .....


All the angles of rotations are equal to 5°.


All the angles of rotations are equal to 5°.


All the angles of rotations are equal to the value of the animation parameter.


Related posts:


( Mathematical software used: GeoGebra )

8 comments:

  1. Welcome back, I am waiting for you for too long.

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  3. Endlich mal wieder Neues von dir!Dachte schon du wärst in den Hotels Obereggen Dolomiten abgetaucht.Liebe Grüße Leon

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  4. https://commons.wikimedia.org/wiki/File:Osculating_circles_of_the_Archimedean_spiral.svg

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  5. https://commons.wikimedia.org/wiki/File:Nested_Ellipses.png

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