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DevLiquidKnight

Cool-Looking when plotted equations?

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I made a small app and I just was wondering if anyone knows of any other cool looking equations that can be made using the varaible time and some other equation of soem sort to comupute a value for an X and Y location on the screen I ask because I just wanna put a bunch of neat equations into one app so far i have a few determained by random variables I have this so far: x = (int)(tan(float(time * mK)) * width)-time; y = (int)(cos(float(time * mK)) * height)+time; x = (int)(sin(float(time * mK)) * width)-time; y = (int)(tan(float(time * mK)) * height)+time; x = (int)(tan(float(time * mK)) * width)-time; y = (int)(sin(float(time * mK)) * height); x = (int)(sin(float(time * mK)) * width); y = (int)(cos(float(time * mK)) * height); x = (int)(cos(float(time * mK)) * width); y = (int)(sin(float(time * mK)) * height); x = (int)(cos(float(time * mK)) * width)-time; y = (int)(sin(float(time * mK)) * height)+time; I know I could probably come up with them on my own but im not very high in math yet and that would take quiet awhile so if anyone knows of any neat equations when they are plotted can u post here ? [edited by - DevLiquidKnight on February 27, 2004 4:45:18 PM]

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afaf, always like buggering around with graphs.

x=sin(t)*sin(4*t)
y=cos(t)*cos(1/2*t)

(can these be simplified? dont know much about further aspects of those functions)

x=sin(t)+1/4*sin(1/4*t)
y=cos(t)+1/4*cos(1/4*t)

of course it gets more fun if you play with 3d plotters ;p

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cos(sqrt((x-d/2)*(x-d/2)+y*y)-t)+cos(sqrt((x+d/2)*(x+d/2)+y*y)+t);

t=time
...

[edited by - Dmytry on February 28, 2004 2:42:36 AM]

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quote:
Original post by Dmytry
cos(sqrt((x-d/2)*(x-d/2)+y*y)-t)+cos(sqrt((x+d/2)*(x+d/2)+y*y)+t);

t=time



what is d? and how does it calculate a position if it uses x, and y ?

quote:
http://astronomy.swin.edu.au/~pbourke/curves/


amazing...


[edited by - DevLiquidKnight on February 28, 2004 3:49:10 PM]

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d is a constant,set to 2..5,equal to "distance between sources".

It''s interference of waves from special transmitter(placed in the center).Heh,doesn''t looks like waves comes from center :-).

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It seems like your program just plots stuff oscilliscope-style. If so, lissajous figures may be interesting:
x=cos(time)
y=sin(time*n)
Try different values of n for some pretty different things. Follow this link for thousands of interesting curves.
http://mathworld.wolfram.com/LissajousCurve.html
(I.e. there are links on that page to harmonographs, and from there to spirograph. Just search around).

[edited by - sadwanmage on March 2, 2004 8:52:35 AM]

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May I have the source to that app so I can add some equations manually? I''ve got some very neat ideas that i have used before in calculus, and I think you will like them

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