Plotting patters using circles and a trignometric equation

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So here is an image I saw:
Based on these equations we should be able to plot something like this picture.
When i coded this down I got the pattern but does not look exactly like the picture. Is there a way to tweak this?
clear; close all; clc;
k = 1:14000;
a = pi*k./14000;
Xk = cos(10*a).*(1-0.5*cos(16*a).^2);
Yk = sin(10*a).*(1-0.5*cos(16*a).^2);
Rk = 1/200 + 0.1*sin(52*a).^4;
figure()
scatter(Xk,Yk,[],Rk)
colormap(jet)
axis equal

Accepted Answer

Les Beckham
Les Beckham on 13 Oct 2022
Edited: Les Beckham on 13 Oct 2022
k = 1:14000;
a = pi*k./14000;
Xk = cos(10*a).*(1-0.5*cos(16*a).^2);
Yk = sin(10*a).*(1-0.5*cos(16*a).^2);
Rk = 1/200 + 0.1*(sin(52*a)).^4;
figure()
% you need to specify the third argument, the size of the markers in points
% the factor 5000 is experimentally determined
scatter(Xk, Yk, Rk*5000, Rk)
colormap(jet)
axis equal
Further experimenting would be needed to figure out how to get the colors right (the 4th argument to scatter). Here the colors are mapped based on the radius.
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