Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,684

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

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi MathsisFun;

Thanks, worked perfectly.

*Last edited by bobbym (2009-10-08 18:11:59)*

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,594

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.

*Last edited by phrontister (2009-10-08 19:19:34)*

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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 (2009-10-09 13:10:56)*

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,594

Hi Bobby,

Changed sin to tan:

Here's the comparison:

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

**Identity****Member**- Registered: 2007-04-18
- Posts: 934

This is excellent! Bookmarked and faved

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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 (2009-10-09 18:18:19)*

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,594

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

*Last edited by phrontister (2009-10-09 20:14:46)*

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

Offline

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,684

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)

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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 (2009-10-09 20:04:15)*

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 4,594

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 (2009-10-09 20:41:27)*

Offline

**Identity****Member**- Registered: 2007-04-18
- Posts: 934

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 (2009-10-09 22:53:35)*

Offline

**Identity****Member**- Registered: 2007-04-18
- Posts: 934

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 (2009-10-09 22:48:36)*

Offline

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,684

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.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

Offline

**Identity****Member**- Registered: 2007-04-18
- Posts: 934

Cool, thanks for fixing it

By the way,

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

*Last edited by Identity (2009-10-12 23:56:21)*

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi identity;

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

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

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**Ubergeek****Member**- Registered: 2009-07-14
- Posts: 205

I found this one kind of nice.

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

"Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true."

Bertrand Russell

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Hi;

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

or

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

*Last edited by bobbym (2009-10-16 19:40:27)*

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Try

[align=center]

[/align]for

*Last edited by JaneFairfax (2009-10-23 20:54:37)*

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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 (2009-10-24 07:36:38)*

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,684

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

Offline

**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

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.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

Offline

**Patrick****Real Member**- Registered: 2006-02-24
- Posts: 1,005

(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.

Support MathsIsFun.com by clicking on the banners.

What music do I listen to? Clicky click

Offline

**gAr****Member**- Registered: 2011-01-09
- Posts: 3,481

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

"Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense" - Buddha?

"Data! Data! Data!" he cried impatiently. "I can't make bricks without clay."

Offline