Math Is Fun Forum / Implicit Equation Grapher

MathsIsFun · 2009-10-09 15:12:35

It should be able to save to png now (v0.81). Have a try.

bobbym · 2009-10-09 16:59:15

Hi MathsisFun;

Thanks, worked perfectly.

Uploaded Images

Last edited by bobbym (2009-10-09 17:11:59)

phrontister · 2009-10-09 17:30:46

Hi Bobby,

That one's amazing - particularly the feathering!

And Save works too...thanks, MathsIsFun.

I'll cheat and use Bobby's piccy (he's probably too modest for that), because I haven't come up with anything worth posting yet.

Uploaded Images

Last edited by phrontister (2009-10-09 18:19:34)

bobbym · 2009-10-10 12:04:06

Hi phrontister and all;

Actually, the progression was:

Mine:

Then Jane suggested this:

My latest:

So you can consider my latest to be a typo of Jane's.

(he's probably too modest for that),

Modest, no, I just didn't think of it.

Anyway, look at this one:

Last edited by bobbym (2009-10-10 12:10:56)

phrontister · 2009-10-10 14:12:35

Hi Bobby,

Changed sin to tan:

Here's the comparison:

Uploaded Images

Identity · 2009-10-10 14:55:22

This is excellent! Bookmarked and faved

bobbym · 2009-10-10 16:51:32

Hi phrontister;

Our lives are frittered away by detail, simplify, simplify, simplify!

When we simplify it a little bit, it keeps the same complexity.

Last edited by bobbym (2009-10-10 17:18:19)

phrontister · 2009-10-10 18:28:23

Hi Bobby,

Nice one! And a profound statement by Henry David Thoreau.

A couple of small changes to yours = a dragonfly:

The copy/paste code: y=tan((x^4/x^2-1)/(y^4/y^2-1))/x

Uploaded Images

Last edited by phrontister (2009-10-10 19:14:46)

MathsIsFun · 2009-10-10 18:36:09

I am so happy this program is working well.

Any ideas for improvement? (Apart from speed, that is, I have got it about as fast as I can get it with my present parser)

bobbym · 2009-10-10 19:03:59

Hi MathsisFun;

How about a color chooser for different colored graphs. Maybe the ability to graph 2 or more equations.

You could also add the best graph on this thread to the list of examples. So far, phrontister's dragonfly ( post # 33 ) get's my vote.

Last edited by bobbym (2009-10-10 19:04:15)

phrontister · 2009-10-10 19:20:17

I'll go you halves on any prize going, Bobby - you did most of the hard work.

Actually, MathsIsFun deserves all of the prize/praise!

Btw, the speed is fine for me (I thought it was pretty quick), but I don't know how the program will cope with any mean tasks we set it once we get better at it.

What about an option to hide the grid? That's probably mainly for people like myself who have no idea whatsoever about what's going on in the equation/graphing process and just want to see what happens if they do this or that.

Last edited by phrontister (2009-10-10 19:41:27)

Identity · 2009-10-10 21:37:10

I think we need more customized zooming. Rather than zooming in and out by a factor perhaps allow us to set x min-max, y min-max. Also I don't know if this is possible, but it would be nice if it could identify minima-maxima or allow us to 'trace' the graph, showing the coordinates at each point.

Also, some functions I graphed made IE stall for a very long time, for example sin(x+y/sin(x+y))=y. Perhaps you could have a 'break' button that can halt the processing.

But it's really good overall

Last edited by Identity (2009-10-10 21:53:35)

Identity · 2009-10-10 21:40:31

I like this one a lot:

y^2*tan(x^2+y^2)=x^2-y^2

It has a ripply effect with an infinity sign in the middle

Also this one:

Also has a ripply effect, but with a yin-yang symbol

Last edited by Identity (2009-10-10 21:48:36)

MathsIsFun · 2009-10-13 21:26:14

Great suggestions.

Identity wrote:
Also, some functions I graphed made IE stall for a very long time, for example sin(x+y/sin(x+y))=y.

This turned out to be a bug!

I had a "for" loop that went past the end condition and kept on going! Needless to say it isn't supposed to do that. Anyway, I completely rewrote that bit of code and it seems fine now. (version is now 0.82)

As I get time I will do more.

Identity · 2009-10-13 22:56:08

Cool, thanks for fixing it

By the way,

appears to be a straight line. How can this be?

Last edited by Identity (2009-10-13 22:56:21)

bobbym · 2009-10-13 23:27:28

Hi identity;

Try hitting out 10x after graphing it. That's weird too.

Last edited by bobbym (2009-10-14 13:28:45)

Ubergeek · 2009-10-14 01:25:55

I found this one kind of nice.

y^3=x^3sin(x^3+y^2)^2

bobbym · 2009-10-17 18:37:52

Hi;

I was looking for one that fills the entire screen up:

or

sin(x^2)+sin(y^3)=1

Uploaded Images

Last edited by bobbym (2009-10-17 18:40:27)

JaneFairfax · 2009-10-24 19:47:45

Try

for k = 1.4, 1.45 and 1.5. (In fact, try various values of k between 1.4 and 1.5 and see how it evolves.)

Last edited by JaneFairfax (2009-10-24 19:54:37)

bobbym · 2009-10-24 20:20:51

Hi

That's a nice one, Jane. Liked k = sqrt(2) best.

or for easier input:

exp(x)/abs(tan(y))/abs(sin(x+y))=sqrt(2)

Last edited by bobbym (2009-10-25 06:36:38)

bobbym · 2009-12-09 23:39:43

Hi;

T. Student showed me this one on another forum. It is called the seed of life.

(x^2+y^2-1)((x-1)^2+y^2-1)((x-.5)^2+(y-.866)^2-1)((x+.5)^2+(y-.866)^2-1)((x+1)^2+y^2-1)((x+.5)^2+(y+.866)^2-1)((x-.5)^2+(y+.866)^2-1)=0

Uploaded Images

MathsIsFun · 2009-12-10 07:31:59

Very cool! I see parameters of 1, 0.5 and 0.866 (90, 45, 30 degrees?)

bobbym · 2009-12-10 10:14:22

Hi MathsisFun;

I didn't notice that. I have no idea what he has done in forming that equation except that it looks like to me he just plotted 6 circles.

Patrick · 2009-12-19 09:41:29

(sin(x^2)+sin(x^2*y^2))^(1/2)+x/y=(cos(x^2*y^2)+cos(y^2))^(1/2)+y/x

1 = (y*x)^12*sin(x^2+y^2)

Try to find the partial implicit derivatives of the first one. If you can't be bothered, use http://www.wolframalpha.com/. They're insane. Good luck finding them without making a mistake.

gAr · 2011-01-12 03:01:38

MathsIsFun, this is very good

and for this equation:

(x^2+y^2-1)((x-1)^2+y^2-1)((x-.5)^2+(y-.866)^2-1)((x+.5)^2+(y-.866)^2-1)((x+1)^2+y^2-1)((x+.5)^2+(y+.866)^2-1)((x-.5)^2+(y+.866)^2-1)=0

If you check this, it consists of individual equations of circle ( can we call them "multiple coaxal system of circles"? )

We can also multiply equations of straight lines.
E.g. a crosshair: (x^2+y^2-1)(x+y)(y-x)=0

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#26 2009-10-09 15:12:35

Re: Implicit Equation Grapher

#27 2009-10-09 16:59:15

Re: Implicit Equation Grapher

#28 2009-10-09 17:30:46

Re: Implicit Equation Grapher

#29 2009-10-10 12:04:06

Re: Implicit Equation Grapher

#30 2009-10-10 14:12:35

Re: Implicit Equation Grapher

#31 2009-10-10 14:55:22

Re: Implicit Equation Grapher

#32 2009-10-10 16:51:32

Re: Implicit Equation Grapher

#33 2009-10-10 18:28:23

Re: Implicit Equation Grapher

#34 2009-10-10 18:36:09

Re: Implicit Equation Grapher

#35 2009-10-10 19:03:59

Re: Implicit Equation Grapher

#36 2009-10-10 19:20:17

Re: Implicit Equation Grapher

#37 2009-10-10 21:37:10

Re: Implicit Equation Grapher

#38 2009-10-10 21:40:31

Re: Implicit Equation Grapher

#39 2009-10-13 21:26:14

Re: Implicit Equation Grapher

Identity wrote:

#40 2009-10-13 22:56:08

Re: Implicit Equation Grapher

#41 2009-10-13 23:27:28

Re: Implicit Equation Grapher

#42 2009-10-14 01:25:55

Re: Implicit Equation Grapher

#43 2009-10-17 18:37:52

Re: Implicit Equation Grapher

#44 2009-10-24 19:47:45

Re: Implicit Equation Grapher

#45 2009-10-24 20:20:51

Re: Implicit Equation Grapher

#46 2009-12-09 23:39:43

Re: Implicit Equation Grapher

#47 2009-12-10 07:31:59

Re: Implicit Equation Grapher

#48 2009-12-10 10:14:22

Re: Implicit Equation Grapher

#49 2009-12-19 09:41:29

Re: Implicit Equation Grapher

#50 2011-01-12 03:01:38

Re: Implicit Equation Grapher

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