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nextstep

Joined: 06 Jan 2007
Posts: 539

Posted: Sat Nov 15, 2014 4:51 am    Post subject: Duplin Cyclide

Hi,
a Dupin cyclide or cyclide of Dupin is any geometric inversion of a standard torus, cylinder or double cone. In particular, these latter are themselves examples of Dupin cyclides. They were discovered by Charles Dupin in his 1803 dissertation under Gaspard Monge.The key property of a Dupin cyclide is that it is a channel surface (envelope of a one parameter family of spheres) in two different ways. This property means that Dupin cyclides are natural objects in Lie sphere geometry.

DuplinCyclide by taha_ab, on Flickr

 Quote: { "Iso3D": { "Name": [ "DuplinCyclides" ], "Component": [ "DuplinCyclides" ], "Fxyz": [ "(2^2 - (2 + 2.1)^2) * (2^2 - (2 - 2.1)^2)*(x^4+y^4+z^4)+ 2*((2^2 - (2 + 2.1)^2 )*(2^2 - .1^2)* (x^2 * y^2+x^2 * z^2+y^2 * z^2))+2* 2^2 *((2.1^2)* (2 *x *2-2^2))*(x^2+y^2+z^2)+ 4 * 2^4 * (2 *x)* (-2^2+2 * x)+4* 2^4 * 2.1^2 * y^2+2^8" ], "Xmax": [ " 2.2" ], "Xmin": [ "-2" ], "Ymax": [ " 2.1" ], "Ymin": [ "-2.1" ], "Zmax": [ " 1.3" ], "Zmin": [ "-1.3" ] } }

More at :
http://en.wikipedia.org/wiki/Dupin_cyclide
_________________
Cheers,
Abderrahman
nextstep

Joined: 06 Jan 2007
Posts: 539

 Posted: Sat Nov 15, 2014 5:21 pm    Post subject: Hi all, Duplin Cyclide Hotel: It`s called "Death Star" Hotel...I'd rather prefer "Duplin Cyclide" Hotel DuplinCyclideHotel by taha_ab, on Flickr More infos at: https://www.facebook.com/pages/MathMod/529510253833102_________________Cheers, Abderrahman
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