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Functions 3D, Opera application 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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This, my friend, is the culmination of more work than you can imagine.

A precise view of the section of road and cliffside visible from my window.

(2(2abs(cot(x))-((abs(sin(sqr(cot(sqr(y(abs(1/2((((2x-3y+sin(cos(tan(4))))cot(5))^6x-7y)/8^(x-y))))-y))-sqr(cot(50x))-abs(y))-x)+sqr(0.1x-y(sin(4))+1/2)+x(y))^(2(abs(y))(sqr(x))-0.5)-0.5x^y(sin(abs(sqr(x-y)))))/sin(20x)+x(cos(2^y)))+0.5y)(2(2abs(cot(x))-((abs(sin(sqr(cot(sqr(y(abs(1/2((((2x-3y+sin(cos(tan(4))))cot(5))^6x-7y)/8^(x-y))))-y))-sqr(cot(50x))-abs(y))-x)+sqr(0.1x-y(sin(4))+1/2)+x(y))^(2(abs(y))(sqr(x))-0.5)-0.5x^y(sin(abs(sqr(x-y)))))/sin(20x)+x(cos(2^y)))+0.5y))+0.2)(0.0001)

Candlejack 作 , # 2008/06/19 22:34:39

SIN(5(X^6+Y^6)) ITS A TUB OR A SINK R SUMTHIN ANYWAY ITS COOL

DIZZLE_SEGAR 作 , # 2008/01/29 0:41:00

But what is the logic behind this ??? I just copy pasted some source codes and experimented, but I don't get the real logic .. something related to 3d Co-ridnate geometry for sure..

ice_syncer 作 , # 2007/12/09 18:50:05

Here's a colourful fractal of a gaussian curve ( 3D ofcourse )
2e^-6(x^2+y^2)-SQRT(0.phi)

ice_syncer 作 , # 2007/12/09 18:45:55

Here's a cool-looking pipe-thing:

1/tan(cos(abs(x)+abs(y)))

thetechgeek 作 , # 2007/12/06 23:51:33

(-sign(0.025-(x^2+y^2)) + sign(0.2-(x^2/5+y^2/5)))/50
That is a cd (sort of.) Can someone make a penguin?

Sk8r644 作 , # 2007/11/21 18:27:25

Some example:
sin(4*sqrt(x^2+y^2))/sqrt(x^2+y^2)
sin(4*sqrt(x^2+y^2))
abs(x^2-y^2)
0.3*sin(4*sqrt(x^2+y^2))*sqrt(x^2+y^2)
x*y(x-y)(x+y)
10*x*y(x-y)(x+y)
(x^2-y^2)

Lali19871014 作 , # 2007/10/21 21:31:24

if you flip Benjamin Joffe's whirlpool formula upside down you get a volcano: 0-(sin(50(x^2+y^2)^(1/4))/10-0.5/((x^2+y^2)^0.5)+1)

aoe3rules 作 , # 2007/09/19 1:01:11

(sign(1-(y^2+x^2)))/2

aoe3rules 作 , # 2007/09/19 0:55:41

Thank you!! Is very good! I use here, and use for mathematics.

firepower22 作 , # 2007/07/03 3:10:17

try these:

(tan(5x))+(cos(5y))
(sin(cos(tan(x(y(5))))))
(sin(5(x^2+y^2)))
1-(abs(y)+abs(x))
(sinh(x^2))+(cosh(y^2))-2
(sin(5(x)))+(cos(5(y)))-1
(sin(5(x^2)))+(cos(5(y^2)))-1
(tan(5x))+(cos(5y))+(sin(5x))+(cot(5y))
(x^2+y^2)^5-1
(tan(x^2))/(sec(x^-2))
0-(abs(x^2))+(abs(y^2))
1-((abs(5x))+(abs(5y)))
(sin(5x))(cos(5y))/10
(sin(5x))(cos(5y))/10-1
(sin(5(x^2(y^2))))(cos(5(x^2(y^2))))*3-0.5
1-(x^2*y^2)*4
(tan(cot(sin(cos(y(5))))))+(tan(cot(sin(cos(x(5)))))) (look at top view)
(sin(5(x)))(cos(5(y)))
x^3
(sign(x^3))
(sign(-(x^2*y^2)*1000))
-(sign(-(x^2*y^2)*1000))
1-(1/(15(x^2+y^2)))
(sign(sin(sin(10x)*sin(10y))))

does anyone know how i can save widgets to a file and take them to another computer (the internet on that one doesnt work) ? i did this with skins by downloading them in firefox and saving them to a CD but when you try this with widgets it says you need to download opera.

aoe3rules 作 , # 2007/06/28 18:50:10

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

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