Functions 3D

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Benjamin Joffe 作

V1.3 2006/06/24 18:38:18

Render 3D surfaces from mathematical expressions

Enter a mathematical function and have it rendered in a 3D space.

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Equations are entered as a function of x and y. An example for a unit sphere would be:

f(x,y) = (1 - x^2 - y^2) ^ (1/2)

For a full list of the functions, operators, variables and constants available in this widget visit http://www.benjoffe.com/code/tools/functions3d/keywords

For a selection of interesting surfaces visit: http://www.benjoffe.com/code/tools/functions3d/examples

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New in 0.21
- Fixed a problem that surfaced since Opera 9.2, (thanks Reggiostar and miron22!)

New in 0.2:
- Height spectrum mode
- Fixed minor panning bug

New in 0.3
- Japanese translation courtesy of Opera Software ASA

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www.benjoffe.com

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The widget turned out to be quite useful for solving equations numerically (as the root of a function).

At the moment, to look for f(x,y)==0 AND g(x,y)==0, I type "abs(f(x,y))+abs(g(x,y))". Sometimes with an additional sqrt(..), depending on how the neighbourhood of the root is shaped.

To make this more useful, it would be a great help to have colored isolines in the dynamic (wireframe) view, or at least different colors for positive and negative values. It's quite hard to guess from the black lines where the root might be.

Schneemann 作 , # 2007/06/11 2:21:29

Very impressive.

Jadd 作 , # 2007/05/29 16:59:24

This looks great. Thanks for making!

Archonic 作 , # 2007/05/23 18:37:37

Thanks Reggiostat and miron22, the widget has now been fixed, please re-download.
Regards,
Benjamin

Benjamin Joffe 作 , # 2007/05/07 18:50:58

"It's amazing, but everytime when the surface changes or when I move it, the old pictures keep "painted" in the window. Is there a way of reparing that?"

SAME PROBLEM HERE!

miron22 作 , # 2007/05/03 18:19:43

waaaayyyy to confusing for me lol you need to make one for idiots like to were you just click and drag it or something lol tell me if yo do ever make one for idiots

mikeoo92 作 , # 2007/04/22 20:27:10

It's amazing, but everytime when the surface changes or when I move it, the old pictures keep "painted" in the window. Is there a way of reparing that?

Reggiostar 作 , # 2007/04/21 15:40:39

wow, such a small widget but powerful rendering 3-d images. thank you

xinhxinh 作 , # 2007/04/13 22:10:02

Very useful, thank you!

bacau 作 , # 2007/04/09 23:12:26

Excellent widget!
Great work

refrex 作 , # 2007/03/12 16:39:12

a fractal. kinda hard to tell its one on such a small viewing window.
(tan(x)^2)/(sec(x)^-2)

kingswifty33 作 , # 2007/02/22 17:28:02

Wow that is great.

I'm not sure whether i'm in the right place to post a nice function

f(x,y) = 2e^-6(x^2+y^2)-1

this is a Gaussian curve (3d of course)

Valentin

de_Valentin 作 , # 2007/02/15 14:35:52

Excellent!!
While saving image, is it possible to save in a different format??
Anyway liked a lot....
Thanks Man.

ilndinesh 作 , # 2006/11/13 14:41:54

A very nice widget!
try cos(x*5)^9 * cos(y*5)^9

vt-dbnz 作 , # 2006/10/17 22:14:50

Impressive!!!

Lalacroft 作 , # 2006/09/20 10:18:21

I get a black square when I try to save the image.

DasNuke 作 , # 2006/08/28 2:04:23

Seriously, this is amazing. You are a JavaScript god.

flanker 作 , # 2006/08/23 7:26:20

How did you do this? Wonderful!

aleksanteri 作 , # 2006/08/20 14:54:51

CatmandOo: I see. Functions written implicitly like that are extremely difficult to render and would require a FAR more complex mathematical process than the one I have in place (believe me, to implement implicit functions in 2D is a difficult task in itself, let alone in 3D). Each of those quadrics (and a large majority of other implicit functions) however can be manipulated to make Z the subject and with the possible future +/- operator they can be rendered in full.
If you need to render more complex surfaces you could buy a program such as Mathematica.

Benjamin Joffe 作 , # 2006/08/08 11:56:26