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	<title>PIPRIME.FR &#187; graph3.asy</title>
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		<title>Asymptote using graph3.asy &#8211; fig0180</title>
		<link>http://www.piprime.fr/734/asymptote-using-graph3-asy-fig0180/</link>
		<comments>http://www.piprime.fr/734/asymptote-using-graph3-asy-fig0180/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 18:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[Graph (3D)]]></category>
		<category><![CDATA[Numerical Methods]]></category>
		<category><![CDATA[palette]]></category>
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		<category><![CDATA[Spherical harmonics]]></category>
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		<description><![CDATA[You may view all the posts of the category "graph3.asy" The spherical harmonics are the angular portion of the solution to Laplace's equation in spherical coordinates where azimuthal symmetry is not present. The spherical harmonics are defined by: where and is the Legendre polynomial. Source (Compiled with Asymptote version 2.14svn-r5318) import palette; import math; import [...]]]></description>
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		<title>Asymptote using graph3.asy &#8211; fig0170</title>
		<link>http://www.piprime.fr/733/asymptote-using-graph3_asy-fig0170/</link>
		<comments>http://www.piprime.fr/733/asymptote-using-graph3_asy-fig0170/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 17:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[array]]></category>
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		<category><![CDATA[palette]]></category>
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		<description><![CDATA[You may view all the posts of the category "graph3.asy" (Compiled with Asymptote version 2.14svn-r5318) settings.render=0; import graph3; size(10cm); currentprojection=orthographic(4,2,4); real r(real Theta, real Phi){return 1+0.5*(sin(2*Theta)*sin(2*Phi))^2;} triple f(pair z) {return r(z.x,z.y)*expi(z.x,z.y);} pen[][] pens(triple[][] z) { pen[][] p=new pen[z.length][]; for(int i=0; i &#60; z.length; ++i) { triple[] zi=z[i]; p[i]=sequence(new pen(int j) { real a=abs(zi[j]); return a [...]]]></description>
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		<title>Asymptote using graph3.asy &#8211; fig0160</title>
		<link>http://www.piprime.fr/732/asymptote-using-graph3_asy-fig0160/</link>
		<comments>http://www.piprime.fr/732/asymptote-using-graph3_asy-fig0160/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 16:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[array]]></category>
		<category><![CDATA[Graph (3D)]]></category>
		<category><![CDATA[palette]]></category>
		<category><![CDATA[Shading (3D)]]></category>
		<category><![CDATA[Spherical harmonics]]></category>
		<category><![CDATA[surface]]></category>

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		<description><![CDATA[You may view all the posts of the category "graph3.asy" (Compiled with Asymptote version 2.14svn-r5318) settings.render=0; import graph3; size(10cm); currentprojection=orthographic(4,2,4); real r(real Theta, real Phi){return 1+0.5*(sin(2*Theta)*sin(2*Phi))^2;} triple f(pair z) {return r(z.x,z.y)*expi(z.x,z.y);} pen[][] pens(triple[][] z) { pen[][] p=new pen[z.length][]; for(int i=0; i &#60; z.length; ++i) { triple[] zi=z[i]; p[i]=sequence(new pen(int j) { real a=abs(zi[j]); return a [...]]]></description>
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		<title>Asymptote using graph3.asy &#8211; fig0150</title>
		<link>http://www.piprime.fr/731/asymptote-using-graph3_asy-fig0150/</link>
		<comments>http://www.piprime.fr/731/asymptote-using-graph3_asy-fig0150/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 15:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[array]]></category>
		<category><![CDATA[Graph (3D)]]></category>
		<category><![CDATA[palette]]></category>
		<category><![CDATA[Shading (3D)]]></category>
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		<description><![CDATA[You may view all the posts of the category "graph3.asy" (Compiled with Asymptote version 2.14svn-r5318) settings.render=0; import graph3; size(10cm); currentprojection=orthographic(4,2,4); real r(real Theta, real Phi){return 1+0.5*(sin(2*Theta)*sin(2*Phi))^2;} triple f(pair z) {return r(z.x,z.y)*expi(z.x,z.y);} pen[] pens(triple[] z) { return sequence(new pen(int i) { real a=abs(z[i]); return a &#60; 1+1e-3 ? black : interp(blue, red, 2*(a-1)); },z.length); } surface [...]]]></description>
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		<title>Asymptote using graph3.asy &#8211; fig0140</title>
		<link>http://www.piprime.fr/730/asymptote-using-graph3_asy-fig0140/</link>
		<comments>http://www.piprime.fr/730/asymptote-using-graph3_asy-fig0140/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 14:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[Graph (3D)]]></category>
		<category><![CDATA[palette]]></category>
		<category><![CDATA[Shading (3D)]]></category>
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		<description><![CDATA[You may view all the posts of the category "graph3.asy" (Compiled with Asymptote version 2.14svn-r5318) settings.render=0; import graph3; import palette; size(10cm,0); currentprojection=orthographic(2,-2,2.5); real f(pair z) { real u=z.x, v=z.y; return (u/2+v)/(2+cos(u/2)*sin(v)); } surface s=surface(f,(0,0),(14,14),50,Spline); s.colors(palette(s.map(zpart),Gradient(yellow,red))); draw(s); if(!is3D()) shipout(bbox(3mm,Fill(black))); $(document).ready(function(){$("a#fig651891bfd9ae8019cecd501560093d16").fancybox();});]]></description>
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		<item>
		<title>Asymptote using graph3.asy &#8211; fig0130</title>
		<link>http://www.piprime.fr/729/asymptote-using-graph3_asy-fig0130/</link>
		<comments>http://www.piprime.fr/729/asymptote-using-graph3_asy-fig0130/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 13:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[Graph (3D)]]></category>
		<category><![CDATA[palette]]></category>
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		<description><![CDATA[You may view all the posts of the category "graph3.asy" (Compiled with Asymptote version 2.14svn-r5318) settings.render=0; import graph3; import palette; size(10cm,0); currentprojection=orthographic(2,-2,2.5); real f(pair z) { real u=z.x, v=z.y; return (u/2+v)/(2+cos(u/2)*sin(v)); } surface s=surface(f,(0,0),(14,14),150,Spline); draw(s,mean(palette(s.map(zpart),Gradient(yellow,red)))); if(!is3D()) shipout(bbox(3mm,Fill(black))); $(document).ready(function(){$("a#figd1b480ad5e1c2eb83f469271e4dfd855").fancybox();});]]></description>
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		<title>Asymptote using graph3.asy &#8211; fig0120</title>
		<link>http://www.piprime.fr/728/asymptote-using-graph3-asy-fig0120/</link>
		<comments>http://www.piprime.fr/728/asymptote-using-graph3-asy-fig0120/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 12:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[Graph (3D)]]></category>
		<category><![CDATA[Optics]]></category>
		<category><![CDATA[palette]]></category>
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		<description><![CDATA[You may view all the posts of the category "graph3.asy" (Compiled with Asymptote version 2.14svn-r5318) import graph3; import palette; real sinc(real x){return x != 0 ? sin(x)/x : 1;} real f(pair z){ real value = (sinc(pi*z.x)*sinc(pi*z.y))**2; return value^0.25; } currentprojection=orthographic(0,0,1); size(10cm,0); surface s=surface(f,(-5,-5),(5,5),100,Spline); s.colors(palette(s.map(zpart),Gradient((int)2^11 ... new pen[]{black,white}))); draw(planeproject(unitsquare3)*s,nolight); $(document).ready(function(){$("a#fig64e4af4fc3d1a51509f883a9f55e258d").fancybox();});]]></description>
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		<item>
		<title>Asymptote using graph3.asy &#8211; fig0110</title>
		<link>http://www.piprime.fr/727/asymptote-using-graph3_asy-fig0110/</link>
		<comments>http://www.piprime.fr/727/asymptote-using-graph3_asy-fig0110/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 11:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[Axis (3D)]]></category>
		<category><![CDATA[contour]]></category>
		<category><![CDATA[Function (implicit)]]></category>
		<category><![CDATA[Graph (3D)]]></category>
		<category><![CDATA[label (3D)]]></category>
		<category><![CDATA[Level set (3D)]]></category>
		<category><![CDATA[palette]]></category>
		<category><![CDATA[Projection (3D)]]></category>
		<category><![CDATA[Shading]]></category>
		<category><![CDATA[Shading (3D)]]></category>
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		<description><![CDATA[You may view all the posts of the category "graph3.asy" (Compiled with Asymptote version 2.14svn-r5318) import graph3; import palette; import contour; size(14cm,0); currentprojection=orthographic(-1,-1.5,0.75); currentlight=(-1,0,5); real a=1, b=1; real f(pair z) { return a*(6+sin(z.x/b)+sin(z.y/b));} real g(pair z){return f(z)-6a;} // The axes limits((0,0,4a),(14,14,8a)); xaxis3(Label("$x$",MidPoint),OutTicks()); yaxis3(Label("$y$",MidPoint),OutTicks(Step=2)); ticklabel relativelabel() { return new string(real x) {return (string)(x-6a);}; } zaxis3(Label("$z$",Relative(1),align=2E),Bounds(Min,Max),OutTicks(relativelabel())); // [...]]]></description>
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		<title>Asymptote using graph3.asy &#8211; fig0100</title>
		<link>http://www.piprime.fr/726/asymptote-using-graph3_asy-fig0100/</link>
		<comments>http://www.piprime.fr/726/asymptote-using-graph3_asy-fig0100/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 10:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[array]]></category>
		<category><![CDATA[Axis]]></category>
		<category><![CDATA[contour]]></category>
		<category><![CDATA[Function (implicit)]]></category>
		<category><![CDATA[Graph]]></category>
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		<description><![CDATA[You may view all the posts of the category "graph3.asy" (Compiled with Asymptote version 1.92svn-r4817) // From documentation of Asymptote import graph; import palette; import contour; texpreamble("\usepackage{icomma}"); size(10cm,10cm,IgnoreAspect); pair a=(0,0); pair b=(5,10); real fz(pair z) { return z.x*z.y*exp(-z.x); } real f(real x, real y) {return fz((x,y));} int N=200; int Divs=10; int divs=2; defaultpen(1bp); pen Tickpen=black; [...]]]></description>
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		<title>Asymptote using graph3.asy &#8211; fig0090</title>
		<link>http://www.piprime.fr/725/asymptote-using-graph3_asy-fig0090/</link>
		<comments>http://www.piprime.fr/725/asymptote-using-graph3_asy-fig0090/#comments</comments>
		<pubDate>Sun, 21 Oct 2007 09:11:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[graph3.asy]]></category>
		<category><![CDATA[contour]]></category>
		<category><![CDATA[Function (implicit)]]></category>
		<category><![CDATA[Graph (3D)]]></category>
		<category><![CDATA[Level set (3D)]]></category>
		<category><![CDATA[palette]]></category>
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		<description><![CDATA[You may view all the posts of the category "graph3.asy" (Compiled with Asymptote version 2.14svn-r5318) size(12cm,0,false); import graph3; import contour; import palette; texpreamble("\usepackage{icomma}"); real f(pair z) {return z.x*z.y*exp(-z.x);} currentprojection=orthographic(-2.5,-5,1); draw(surface(f,(0,0),(5,10),20,Spline),palegray,bp+rgb(0.2,0.5,0.7)); scale(true); xaxis3(Label("$x$",MidPoint),OutTicks()); yaxis3(Label("$y$",MidPoint),OutTicks(Step=2)); zaxis3(Label("$z=xye^{-x}$",Relative(1),align=2E),Bounds(Min,Max),OutTicks); real[] datumz={0.5,1,1.5,2,2.5,3,3.5}; Label[] L=sequence(new Label(int i) { return YZ()*(Label(format("$z=%g$",datumz[i]), align=2currentprojection.vector()-1.5Z,Relative(1))); },datumz.length); pen fontsize=bp+fontsize(10); draw(L,lift(f,contour(f,(0,0),(5,10),datumz)), palette(datumz,Gradient(fontsize+red,fontsize+black))); $(document).ready(function(){$("a#fig8666ccebbdadc948476ddad20a147786").fancybox();});]]></description>
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