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nextstep

Joined: 06 Jan 2007
Posts: 538

Posted: Mon Sep 08, 2014 1:09 am    Post subject: Sarti Dodecic (deg 12)

Hi all,
Sarti's dodecic surface of degree 12 was found during the writing of her Ph.D. thesis (advisor W. Barth) in 1999.
The Sarti surface is invariant under the bipolyhedral group and it has the symmetry of the 600-cell.
 Quote: { "Iso3D": { "Cnd": [ "(x^2+y^2+z^2)>13" ], "Component": [ "Sarti-Dodecic" ], "Const": [ " w = 1.0" ], "Fxyz": [ "243*(33*sqrt(5)*(((Ax*Ay+Az*w^2)^2*(Ax*Az+Ay*w^2)-(Ax*Ay+Az*w^2)*(Ax*Az+Ay*w^2)^2)+((Ax*Az+Ay*w^2)^2*(Ax*w^2+Ay*Az)-(Ax*Az+Ay*w^2)*(Ax*w^2+Ay*Az)^2)+((Ax*w^2+Ay*Az)^2*(Ax*Ay+Az*w^2)-(Ax*w^2+Ay*Az)*(Ax*Ay+Az*w^2)^2))+19*(((Ax*Ay+Az*w^2)^2*(Ax*Az+Ay*w^2)+(Ax*Ay+Az*w^2)*(Ax*Az+Ay*w^2)^2)+((Ax*Az+Ay*w^2)^2*(Ax*w^2+Ay*Az)+(Ax*Az+Ay*w^2)*(Ax*w^2+Ay*Az)^2)+((Ax*w^2+Ay*Az)^2*(Ax*Ay+Az*w^2)+(Ax*w^2+Ay*Az)*(Ax*Ay+Az*w^2)^2))+10*((Ax*Ay+Az*w^2)^3+(Ax*Az+Ay*w^2)^3+(Ax*w^2+Ay*Az)^3)-14*(Bx+By+Bz+w^4)*((Ax*Ay+Az*w^2)*(Ax*Az+Ay*w^2)+(Ax*Ay+Az*w^2)*(Ax*w^2+Ay*Az)+(Ax*Az+Ay*w^2)*(Ax*w^2+Ay*Az))+2*(Bx+By+Bz+w^4)^2*((Ax*Ay+Az*w^2)+(Ax*Az+Ay*w^2)+(Ax*w^2+Ay*Az))-6*(Bx+By+Bz+w^4)*((Ax*Ay+Az*w^2)^2+(Ax*Az+Ay*w^2)^2+(Ax*w^2+Ay*Az)^2)-352*(x*y*z*w)^2*((Ax*Ay+Az*w^2)+(Ax*Az+Ay*w^2)+(Ax*w^2+Ay*Az))+336*(x*y*z*w)^2*(Bx+By+Bz+w^4)+48*((Ax*Ay+Az*w^2)*(Ax*Az+Ay*w^2)*(Ax*w^2+Ay*Az)))-22*(Ax+Ay+Az+w^2)^6" ], "Name": [ "SartiDodecic" ], "Varu": [ " A = u^2", " B = u^4" ], "Xmax": [ "3.7" ], "Xmin": [ "-3.7" ], "Ymax": [ "3.7" ], "Ymin": [ "-3.7" ], "Zmax": [ "3.7" ], "Zmin": [ "-3.7" ] } }

SartiDodecic by taha_ab, on Flickr
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Cheers,
Abderrahman

Last edited by nextstep on Sat Sep 20, 2014 5:45 pm; edited 1 time in total
denisc

Joined: 24 Apr 2013
Posts: 92

 Posted: Fri Sep 12, 2014 10:08 am    Post subject: Your new exemples of models are very beautiful . One probleme The export of obj cannot export the cnd effect for the moment.
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