This page demonstrates the use of JavaScript and DHTML to produce graphs of functions in polar coordinates. Functions available in JavaScript are abs(x), acos(x), asin(x), atan(x), ceil(x), cos(x), exp(x), floor(x), log(x), max(x,n), min(x,n), pow(x,n), random(), round(x), sin(x), sqrt(x) and tan(x).
Some interesting function to try plotting:
- a circle: r = 1 {an s orbital}
- another circle: sin(t)
- and one more: cos(t)
- a vertical line: 1/cos(t)
- a horizontal line: 1/sin(t)
- a straight line: 2/(sin(t)-1*cos(t)) {with slope of 1 and intercept of 2}
- a parabola: tan(t)/cos(t)
- a limaçon: 1-2*cos(t)
- a limniscate: sqrt(abs(sin(2*t)))
- a cardioid: 2+2*sin(t)
- spiral of Archimedes: t
- exponential spiral: exp(t/50)
- logarithmic spiral: log(t)
- parabolic spiral: sqrt(t)
- reciprocal spiral: 1/t
- exponential reciprocal spiral: exp(-t/20)
- logarithmic reciprocal spiral: 1/log(t
- three-leafed rose: sin(3*t)
- five-leafed rose: sin(5*t)
- a cissoid: sin(t)*tan(t)
- conchoid of Nicomedes: 2/cos(t)-1
- a parabola: 2/(1-cos(t))
- an ellipse: 20/(7-3*cos(t))
- a py orbital: pow(sin(t),2)
- a px orbital: pow(cos(t),2)
- a dz2 orbital: pow(1-3*cos(t)*cos(t),2)
- a dxz orbital: pow(sin(t)*cos(t),2)
Other
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Debut: December 26, 2003. Revision No. 2.
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