This is a simplistic webpage to display my math art. Below is the screenshot of the application and below that are some of the images generated.
My main webpage is here.
Screenshot.
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The program works by having a loop going from -4 pi to 4 pi, for example. The boundaries of the loop aren't necessarily those values; those values are an example. The loop is the angle. That's theta. Then I need to calculate for the radius. Below is my java code which I used for calculating the radius. This is java, but should be fairly readable for anyone who's taken Math courses.
My program was initially designed to plot points on a polar graph, but I've also made it display points on a cartesian graph (which you can clearly see from the images).
public static double calculateRadius(int whichFormula, double theta) {
double r;
r=0.0;
switch (whichFormula) {
case 0:
r=Math.sin(theta)+(1/Math.sinh(theta))+1/(Math.tan(10/Math.sin(theta)))+(Math.tan(40*Math.sin(theta)));
break;
case 1:
r=10*Math.sin(theta*600)+(1.0/Math.sin(theta))+(1.0/Math.cos(theta));
break;
case 2:
r=10*Math.cos(theta)+(1.0/Math.sin(theta))+(Math.tan(theta))+(1.0/Math.cos(Math.pow(theta,4)));
break;
case 3:
r=10*Math.cos(theta)+(1.0/Math.sin(theta))+(1/Math.tan(theta))+(1.0/Math.cos(Math.pow(theta,4)));
break;
case 4:
r=(1/Math.tan(theta*80))+(1.0/Math.cos(theta*80));
break;
case 5:
r=Math.sin(theta)+1/Math.sinh(theta)+(Math.tan(200*theta));
break;
case 6:
r=10*Math.sin(theta)+(1.0/Math.sin(theta))+(1.0/Math.cos(theta*400));
break;
case 7:
r=10*Math.sin(theta)+(1.0/Math.sin(theta*400))+(1.0/Math.cos(theta));
break;
case 8:
r=Math.cos(theta)+80*(1.0/Math.sin(theta))+(1.0/Math.tan(theta*theta));
break;
case 9:
r=(2/Math.tan(Math.cos(100*theta)))+Math.cos(theta)+1/Math.sin(theta);
break;
case 10:
r=Math.tan(theta/8)+(1/Math.sin(Math.cos(theta)))*Math.cos(theta*80);
break;
case 11:
r=Math.tan(theta/8)+(1/Math.sin(1/Math.cos(theta*100)))+(1/Math.tan(theta*theta));
break;
case 12:
r=5*(1/Math.cos(50*theta)+(1/Math.sin(Math.sin(theta*theta)))+(Math.tan(theta*Math.sin(2*theta))));
break;
case 13:
r=4*(Math.cos(100/Math.tan(Math.pow(theta,0.5))+1/Math.tan(theta/10)));
break;
case 14:
r=4*(Math.cos(100/Math.tan(10*theta))+3/Math.tan(theta/10));
break;
case 15:
r=theta*Math.E/(Math.cos(100*theta)+Math.sin(100*theta));
break;
case 16:
r=theta*Math.tan(Math.tan(Math.cos(Math.sin(1/Math.sin(theta)))));
break;
case 17:
r=1/Math.tan(Math.tan(5*Math.cos(5*Math.sin(5/Math.sin(theta)))));
break;
case 18:
r=Math.tan(1000*theta);
break;
case 19:
r=Math.sin(1000*theta);
break;
case 20:
r=Math.sin(100*theta)*Math.cos(theta*theta*(theta<0?-1:1));
break;
case 21:
r=Math.cos(12/Math.sin(theta));
break;
case 22:
r=2+(Math.sin(theta*theta)+Math.tan(theta*20)+1/Math.cos(theta*20));
break;
case 23:
r=5*(Math.sin(theta*theta)+Math.tan(theta*20)+1/Math.cos(theta*20));
break;
case 24:
r=5*Math.sin(theta) + Math.tan(40*theta);
break;
case 25:
r=2+(5*Math.sin(theta) + Math.tan(40*theta));
break;
case 26:
r=12+Math.abs(5*Math.sin(theta) + Math.tan(40*theta))+(1/Math.sin(100*theta));
break;
case 27:
r=Math.sinh(theta) + 1/Math.cos(40*theta)+Math.tan(theta*theta);
break;
case 28:
r=Math.sinh(theta) + 1/Math.cos(40*theta)+Math.tanh(theta*theta);
break;
case 29:
r=Math.abs(1/Math.cos(40*theta)) + Math.abs(Math.tan(40*theta)) ;
break;
case 30:
r=1/Math.cos(10*theta)+Math.sqrt(Math.abs(10*theta));
break;
case 31:
r=1/Math.cos(10*theta)+Math.sqrt(Math.abs(theta));
break;
case 32:
r=1/Math.tan(10*theta)+1/Math.sin(10*theta)+Math.tan(10*theta)+Math.sqrt(Math.abs(10*theta));
break;
case 33:
r=Math.exp(10*theta)+Math.sqrt(Math.abs(10*theta));
break;
case 34:
r=Math.max(1/Math.cos(10*theta),1/Math.cosh(10*theta))+Math.sqrt(Math.abs(10*theta));
break;
case 35:
r=1/Math.cos(10*theta) + 10*Math.sqrt(Math.abs(10*theta)) + Math.cbrt(Math.abs(10*theta));
break;
}
return r;
}
All images are Copyright 2008, 2009 Alex Shields
This page last updated February 9, 2009.