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~ ~ ~ ~ ~ The Ellipse Astroid ~ ~ ~ ~ ~
~ ~ ~ ~ ~ by Jarek Snuszka ~ ~ ~ ~ ~ ~
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USE SLIDER 'n' TO CHANGE PROPORTIONS

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A=set(0,0.05,ldots*1)

B_1=set(-3,-1,ldots*3),B_2=set(-2,0,2),B_3=set(-1,1)

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vector(a^n*cos(2*pi*t),[1-a]^n*sin(2*pi*t))+vector(b_1,b_2),in(a,A),in(b_1,B_1),in(b_2,B_2)

vector(a^n*cos(2*pi*t),[1-a]^n*sin(2*pi*t))+vector(b_3,b_4),in(a,A),in(b_3,B_2),in(b_4,B_3)

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Graph of the formula

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