Sarti Dodecic (deg 12)

 
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nextstep
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Joined: 06 Jan 2007
Posts: 538

PostPosted: Mon Sep 08, 2014 1:09 am    Post subject: Sarti Dodecic (deg 12) Reply with quote

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
_________________
Cheers,
Abderrahman


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



Joined: 24 Apr 2013
Posts: 92

PostPosted: Fri Sep 12, 2014 10:08 am    Post subject: Reply with quote

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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