Interesting Surface Formulas Link Collection

 
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nextstep
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Joined: 06 Jan 2007
Posts: 538

PostPosted: Fri Jan 25, 2008 10:58 am    Post subject: Reply with quote

Hi all,
Many thanks Gerd for the list, there is a lot of math surface mine to dig Smile
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Abderrahman
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renklint



Joined: 07 Jan 2008
Posts: 3

PostPosted: Wed Jan 30, 2008 9:45 pm    Post subject: Great links! Reply with quote

What a great list,

JavaView.de was a fantastic resource. You can really tweak the surfaces in any imaginable way. And it displays the formula to, if you'd like to use it in k3dsurf.

They have a link-page to sites that uses javaview for different mathematical purposes. www dot javaview dot de/applications

Thanks again for the list.

(Oh, I haven't posted anything earlier, so I'm not entitled to post links, hence the strange appearance of the address above)

/Lars
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Sat Dec 28, 2013 2:38 pm    Post subject: Updated Link List Reply with quote

Information about surfaces and there formulas is growing up.
So here are some interesting links ...

K3dSurf Alphabet of Abdelhamid Belaid
http://abdelhamid394.blogspot.com/

Algebraic Surfaces - Wolfram MathWorld
http://mathworld.wolfram.com/AlgebraicSurface.html

Gallery of animated algebraic surfaces
http://wims.unice.fr/gallery/

Gallery of Famous Surfaces by Xah Lee
http://xahlee.org/surface/gallery.html

Matlab and Bryce
http://www.nada.kth.se/~asa/Ray/matlabobj.html

Maxwell's Demon: Algebraic Surfaces
http://maxwelldemon.com/2009/03/29/surfaces-2-algebraic-surfaces/

Implicit Algebraic Surfaces
http://www-sop.inria.fr/galaad/surface/

Implicit Surfaces - XRT Renderer
http://xrt.wikidot.com/gallery:implicit

Interesting Surfaces using Mathematica 4.2
http://www.seto.nanzan-u.ac.jp/~ant/InterestingSurfaces.html

Interesting implicit surfaces in R3
http://math.stackexchange.com/questions/46212/interesting-implicit-surfaces-in-mathbbr3

Isosurface Tutorial by Mike Williams
http://www.econym.demon.co.uk/isotut/
http://www.econym.demon.co.uk/isotut/xref.htm

Real-World Applications of JavaView
http://www.javaview.de/applications/index.html

Steiner Surfaces by Adam Coffman
http://www.ipfw.edu/departments/coas/depts/math/coffman/steinersurface.html#Background

Surfaces and Curves by Paul Bourke
http://paulbourke.net/geometry/

Virtual Mathematics Museum
http://virtualmathmuseum.org/galleryS.html

z-way.org isosurfaces
http://www.z-way.org/script-and-gizmo/houdini/isosurface

Books
http://www.amazon.com/s/ref=nb_ss?url=search-alias%3Daps&field-keywords=algebraic+surfaces&x=0&y=0

german pages:

Exhibition Imaginary 2008 (Surfer)
http://www.imaginary2008.de/news.php

SURFER - Visualisierung Algebraischer Geometrie
http://www.imaginary2008.de/surfer.php

Algebraic Surfaces Gallery by Herwig Hauser (Surfer)
http://www.imaginary-exhibition.com/galerie_view.php?gal=1

Mathematik-Kunst-Wettbewerb - Spektrum der Wissenschaft (Surfer)
http://www.spektrum.de/page/p_sdwv_mathekunst

Mathematik Skulpturen-Wettbewerb (Surfer)
http://kommentare.zeit.de/node/126988/100270

IMAGINARY WIEN - SURFER Wettbewerb
http://www.imaginary2008.de/wien/index.php

Parametrische Flächen und Körper
http://www.3d-meier.de/tut3/Seite0.html

Grundlagen der Isoflächen
http://www.hib-wien.at/leute/wurban/informatik/POV/isosurfaces/1/Isosurfaces1.html

Flächen mit vielen gewöhnlichen Doppelpunkten
http://enriques.mathematik.uni-mainz.de/docs/flaechen.shtml

interactive pages:

The JavaView Project (hint: click on tab 'Function' to get the formula)
http://www.javaview.de/demo/surface/common/PaSurface_Torus.html

Algebraic Surface Solver by Richard Morris
http://www.javaview.de/services/algebraic/index.html

Calculating singular algebraic curves and surfaces by R. Morris
http://www.singsurf.org/singsurf/SingSurf.html

Animation Gallery
http://www1-c703.uibk.ac.at/mathematik/project/animationenvonflaechen/Galleries/animationgallery.html

galleries (without formulas):

Algebraic Surfaces by Gerhard Brunthaler
http://www.bru.hlphys.jku.at/surf/

Examples of Abdelhamid Belaid
http://www.flickr.com/photos/43056454@N04/sets/72157622368691449/
http://www.flickr.com/photos/43056454@N04/sets/72157622368691449/show/

Jotero
http://www.evolution-of-genius.de/gallery/default.htm

Schmiegel
http://schmiegel.deviantart.com/gallery/?catpath=%2F&q=surface

Shapeways Mathematical Art
https://www.shapeways.com/marketplace/art/mathematical-art

Metamagic - 3D Printing with Isosurfaces
https://metamagics.wordpress.com/2012/10/16/3d-printing-part-1/

video tutorials:

A must see video from IQ about how to create a heart surface
https://www.youtube.com/watch?v=aNR4n0i2ZlM

ps. This list will be expanded from time to time ...


Last edited by inode on Thu Aug 24, 2017 8:33 pm; edited 10 times in total
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Alicelewis



Joined: 29 Nov 2013
Posts: 18

PostPosted: Thu Jan 16, 2014 8:36 pm    Post subject: Learn Math Reply with quote

I really wish that i got lot of knowledge about math formula ,
Specially Algebraic Surfaces - Wolfram MathWorld and
matlab and bryce and many other there for very usful for me
and thanks for sharing this . i realy like , i always want to learn math,
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Wed Aug 13, 2014 12:43 pm    Post subject: a new site Reply with quote

At this site you can see some new algebraic surfaces...
http://math.stackexchange.com/questions/46212/interesting-implicit-surfaces-in-mathbbr3
Wink Gerd

Code:
Name: MSE_Example1
/* Isosurface: MSE_Example1, 2014 Mathematics Stack Exchange
   http://math.stackexchange.com/questions/46212/interesting-implicit-surfaces-in-mathbbr3
*/
F():  10*(x^2+y^2+z^2)
 - (x-2)^2*(x+2)^2
 - (y-2)^2*(y+2)^2
 - (z-2)^2*(z+2)^2
 - 3*(x^2*y^2+x^2*z^2+y^2*z^2)
 - 6*x*y*z
 - 22
[x]: -3.6 , 3.6
[y]: -3.6 , 3.6
[z]: -3.6 , 3.6
;

Code:
Name: MSE_Example2
/* Isosurface: MSE_Example2, 2014 Mathematics Stack Exchange
http://math.stackexchange.com/questions/46212/interesting-implicit-surfaces-in-mathbbr3
*/
F():  0.03
 - ((x-1)*x^2*(x+1)+y^2)^2
 - ((y-1)*y^2*(y+1)+z^2)^2
 - 0.1*y^2
 - 0.001*(y-1)*y^2*(y+1)
[x]: -1.1 , 1.1
[y]: -0.6 , 0.6
[z]: -0.6 , 0.6
;

Code:
Name: MSE_Example3
/* Isosurface: MSE_Example3, 2014 Mathematics Stack Exchange
   http://math.stackexchange.com/questions/46212/interesting-implicit-surfaces-in-mathbbr3
*/
F():  0.1*(x^2 + z^2)
 - 15*((x-1.2)*x^2*(x+1.2)+y^2)^2
 - 20*((y-0.8)*y^2*(y+0.8)+z^2)^2
 - 0.8*(z-1)*z^2*(z+1)
 - 0.8*(x-1)*z^2*(x+1)
[x]: -1.3 , 1.3
[y]: -0.8 , 0.8
[z]: -0.5 , 0.5
;

Code:
Name: MSE_Example4
/* Isosurface: MSE_Example4, 2014 Mathematics Stack Exchange
   http://math.stackexchange.com/questions/46212/interesting-implicit-surfaces-in-mathbbr3
*/
F():  -(3*(x-1)*x^2*(x+1)+2*y^2)^2+(z^2-0.85)^2*
      -(3*(y-1)*y^2*(y+1)+2*z^2)^2+(x^2-0.85)^2*
     -(3*(z-1)*z^2*(z+1)+2*x^2)^2+(y^2-0.85)^2* 0.14
[x]: -1.1 , 1.1
[y]: -0.7 , 0.7
[z]: -1.1 , 1.1
;

Code:
Name: MSE_Example5
/* Isosurface: MSE_Example5, 2014 Mathematics Stack Exchange
   http://math.stackexchange.com/questions/46212/interesting-implicit-surfaces-in-mathbbr3
*/
F(): 0.04
 - (2.92*(x-1)*x^2*(x+1)+1.7*y^2)^2*(y^2-0.88)^2
 - (2.92*(y-1)*y^2*(y+1)+1.7*z^2)^2*(z^2-0.88)^2
 - (2.92*(z-1)*z^2*(z+1)+1.7*x^2)^2*(x^2-0.88)^2
[x]: -1.1 , 1.1
[y]: -1.1 , 1.1
[z]: -1.1 , 1.1
;
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inode



Joined: 27 Jan 2007
Posts: 127
Location: Austria

PostPosted: Thu Aug 24, 2017 8:31 pm    Post subject: new links... Reply with quote

deviantart #mathmod
https://www.deviantart.com/tag/mathmod?offset=0
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