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	<title>PIPRIME.FR &#187; three.asy</title>
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		<title>Asymptote using three.asy &#8211; fig0110</title>
		<link>http://www.piprime.fr/751/asymptote-using-three_asy-fig0110/</link>
		<comments>http://www.piprime.fr/751/asymptote-using-three_asy-fig0110/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 22:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[label (3D)]]></category>
		<category><![CDATA[plane]]></category>
		<category><![CDATA[Projection (3D)]]></category>
		<category><![CDATA[texpath]]></category>
		<category><![CDATA[Transform (3D)]]></category>

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		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) import three; size(10cm,0); currentprojection=orthographic(1,1.5,1); path3 xy=XY*unitsquare3, xz=ZX*unitsquare3, yz=YZ*unitsquare3; draw(xy^^xz^^yz, grey); path3 p3xy=path3(texpath("$\pi$")[0],XYplane); p3xy=shift((0.5,0.5,0))*scale3(1/abs(min(p3xy)-max(p3xy)))*p3xy; surface s=surface(p3xy,planar=true); draw(s, surfacepen=blue, meshpen=orange+3pt); transform3 Txz=planeproject(xz,(0,-1,1)); draw(Txz*s, red); transform3 Tyz=planeproject(yz,(-1,0,1)); draw(Tyz*s, green); path3 p3xz=Txz*p3xy; path3 p3yz=Tyz*p3xy; int lg=length(p3xy); triple p; for(int i=0;i&#60;=lg;++i) { p=point(p3xy,i); draw(p--point(p3xz,i), yellow); [...]]]></description>
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		<item>
		<title>Asymptote using three.asy &#8211; fig0100</title>
		<link>http://www.piprime.fr/750/asymptote-using-three_asy-fig0100/</link>
		<comments>http://www.piprime.fr/750/asymptote-using-three_asy-fig0100/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 21:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[bsp]]></category>
		<category><![CDATA[label (3D)]]></category>
		<category><![CDATA[plane]]></category>
		<category><![CDATA[Projection (3D)]]></category>
		<category><![CDATA[texpath]]></category>
		<category><![CDATA[Transform (3D)]]></category>

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		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) size(12cm,0); import bsp; currentprojection=orthographic(1,1.5,1); path3 xy=plane((1,0,0),(0,1,0),(0,0,0)); path3 xz=rotate(90,X)*xy; path3 yz=rotate(-90,Y)*xy; face[] f; filldraw(f.push(xy),project(xy),grey); filldraw(f.push(xz),project(xz),grey); filldraw(f.push(yz),project(yz),grey); add(f); draw(Label("$x$",EndPoint), O--(1,0,0), Arrow3); draw(Label("$y$",EndPoint), O--(0,1,0), Arrow3); draw(Label("$z$",EndPoint), O--(0,0,1), Arrow3); dot(O); path[] ph=texpath("$\displaystyle\int_{-\infty}^{+\infty}e^{-\alpha x^2}\,dx= \sqrt{\frac{\pi}{\alpha}}$"); ph =shift((0.5,0.5))*rotate(-45)*scale(1/abs(min(ph)-max(ph)))*ph; filldraw(project(path3(ph,XYplane)),0.8*yellow); filldraw(project(path3(ph,ZXplane)),0.8*yellow); filldraw(project(path3(ph,YZplane)),0.8*yellow); $(document).ready(function(){$("a#fige98a6dde8275e1518b2869ce947e9925").fancybox();});]]></description>
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		<item>
		<title>Asymptote using three.asy &#8211; fig0090</title>
		<link>http://www.piprime.fr/749/asymptote-using-three_asy-fig0090/</link>
		<comments>http://www.piprime.fr/749/asymptote-using-three_asy-fig0090/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 20:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[Fill/Unfill]]></category>
		<category><![CDATA[path3]]></category>
		<category><![CDATA[plane]]></category>
		<category><![CDATA[Projection (3D)]]></category>
		<category><![CDATA[Transform (3D)]]></category>
		<category><![CDATA[triple]]></category>

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		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) size(10cm,0); import three; currentprojection=obliqueX; triple v1=(4,0,0), v2=(0,6,0), p0=(-2,-3,0); path3 pl1=plane(v1,v2,p0); path ph=transform(v1,v2,p0,currentprojection)*((0,-2){W}..(0,2){W}..cycle); filldraw(project(pl1)^^ph,evenodd+lightgrey); $(document).ready(function(){$("a#figecd0dbf613df321d48e7b59e3aaeb95f").fancybox();});]]></description>
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		<title>Asymptote using three.asy &#8211; fig0080</title>
		<link>http://www.piprime.fr/748/asymptote-using-three_asy-fig0080/</link>
		<comments>http://www.piprime.fr/748/asymptote-using-three_asy-fig0080/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 19:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[bsp]]></category>
		<category><![CDATA[Line type]]></category>
		<category><![CDATA[plane]]></category>
		<category><![CDATA[Wire frame]]></category>

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		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) import bsp; typedef path3[] shape; shape operator *(transform3 T, shape p){ shape os; for(path3 g:p) os.push(T*g); return os; } path3 path(triple[] T){ path3 P; for(triple i:T) P=P--i; return P; } void addshapes(face[] F, shape[] shp, pen drawpen=currentpen, pen fillpen=white) { [...]]]></description>
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		<item>
		<title>Asymptote using three.asy &#8211; fig0070</title>
		<link>http://www.piprime.fr/747/asymptote-using-three_asy-fig0070/</link>
		<comments>http://www.piprime.fr/747/asymptote-using-three_asy-fig0070/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 18:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[bsp]]></category>
		<category><![CDATA[plane]]></category>
		<category><![CDATA[Wire frame]]></category>

		<guid isPermaLink="false">http://c543626c3aa9ecbe3e362c819c2c4e96</guid>
		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) // From the Asymptote forum import bsp; typedef path3[] shape; shape operator *(transform3 T, shape p){ shape os; for(path3 g:p) os.push(T*g); return os; } path3 path(triple[] T){ path3 P; for(triple i:T) P=P--i; return P; } void addshapes(face[] F, shape[] shp, [...]]]></description>
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		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Asymptote using three.asy &#8211; fig0060</title>
		<link>http://www.piprime.fr/746/asymptote-using-three_asy-fig0060/</link>
		<comments>http://www.piprime.fr/746/asymptote-using-three_asy-fig0060/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 17:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[label (3D)]]></category>
		<category><![CDATA[plane]]></category>
		<category><![CDATA[Projection (3D)]]></category>

		<guid isPermaLink="false">http://195c5bbe956b3d309689610d0763ba2a</guid>
		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) settings.render=0; import three; size(4cm,0); currentprojection=perspective((45,45,30)); path3 YZ=plane((0,4,0),(0,0,4)); draw("$x$",project(O--X),Arrow); draw("$y$",project(O--Y),Arrow); draw("$z$",project(O--Z),Arrow); draw(YZ); label(scale(5)*project("A",Y,Z,(0,1,1))); $(document).ready(function(){$("a#fig195c5bbe956b3d309689610d0763ba2a").fancybox();});]]></description>
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		<slash:comments>0</slash:comments>
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		<item>
		<title>Asymptote using three.asy &#8211; fig0050</title>
		<link>http://www.piprime.fr/745/asymptote-using-three_asy-fig0050/</link>
		<comments>http://www.piprime.fr/745/asymptote-using-three_asy-fig0050/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 16:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[Geometry (3D)]]></category>
		<category><![CDATA[interp]]></category>
		<category><![CDATA[Intersection]]></category>
		<category><![CDATA[Line type]]></category>
		<category><![CDATA[Wire frame]]></category>

		<guid isPermaLink="false">http://c520cdbaa6162d8417fa6f9af24e969c</guid>
		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) import three; import math; size(8cm,0); currentprojection=obliqueX; real h=2; triple A =(0,0,h), B=(h,0,0), C=(0,h,0), D=(0,0,0); triple Ip=midpoint(A--C), J=midpoint(A--B); triple K=shift((0,0,-0.25*h))*A; triple M=interp(K,J,intersect(K,J,normal(new triple[]{B,C,D}),D)); triple Np=interp(K,Ip,intersect(K,Ip,normal(new triple[]{B,C,D}),D)); dot("$A$", A, align=Z); dot("$B$", B, align=S); dot("$C$", C, align=S); dot("$D$", D, align=W); dot("$I$", Ip, align=N); [...]]]></description>
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		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Asymptote using three.asy &#8211; fig0040</title>
		<link>http://www.piprime.fr/744/asymptote-using-three_asy-fig0040/</link>
		<comments>http://www.piprime.fr/744/asymptote-using-three_asy-fig0040/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 15:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[arc (3D)]]></category>
		<category><![CDATA[Arrow (3D)]]></category>
		<category><![CDATA[Direction (3D)]]></category>
		<category><![CDATA[plane]]></category>
		<category><![CDATA[triple]]></category>

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		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) import three; size(8cm,0); real radius=1, theta=37, phi=60; currentprojection=perspective(4,1,2); // Planes pen bg=gray(0.9)+opacity(0.5); draw(surface((1.2,0,0)--(1.2,0,1.2)--(0,0,1.2)--(0,0,0)--cycle),bg,bg); draw(surface((0,1.2,0)--(0,1.2,1.2)--(0,0,1.2)--(0,0,0)--cycle),bg,bg); draw(surface((1.2,0,0)--(1.2,1.2,0)--(0,1.2,0)--(0,0,0)--cycle),bg,bg); real r=1.5; draw(Label("$x$",1), O--r*X, Arrow3(HookHead3)); draw(Label("$y$",1), O--r*Y, Arrow3(HookHead3)); draw(Label("$z$",1), O--r*Z, Arrow3(HookHead3)); label("$\rm O$", (0,0,0), W); triple pQ=radius*dir(theta,phi); // Point Q // triple pQ=radius*expi(radians(theta),radians(phi)); // Point [...]]]></description>
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		<slash:comments>4</slash:comments>
		</item>
		<item>
		<title>Asymptote using three.asy &#8211; fig0030</title>
		<link>http://www.piprime.fr/743/asymptote-using-three_asy-fig0030/</link>
		<comments>http://www.piprime.fr/743/asymptote-using-three_asy-fig0030/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 14:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[palette]]></category>
		<category><![CDATA[patch]]></category>
		<category><![CDATA[path3]]></category>
		<category><![CDATA[Shading (3D)]]></category>
		<category><![CDATA[surface]]></category>
		<category><![CDATA[triple]]></category>

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		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) import three; size(10cm); currentlight=(0,0,1); surface sf=surface(patch(P=new triple[][] { {(0,0,0),(1,0,0),(1,0,0),(2,0,0)}, {(0,1,0),(1,0,1),(1,0,1),(2,1,0)}, {(0,1,0),(1,0,-1),(1,0,-1),(2,1,0)}, {(0,2,0),(1,2,0),(1,2,0),(2,2,0)} })); draw(sf,surfacepen=yellow); draw(sf.s[0].vequals(0.5),squarecap+2bp+blue,currentlight); draw(sf.s[0].uequals(0.5),squarecap+2bp+red,currentlight); $(document).ready(function(){$("a#fig6e589737b4b8914a8cb270a35e7ed605").fancybox();});]]></description>
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		<slash:comments>4</slash:comments>
		</item>
		<item>
		<title>Asymptote using three.asy &#8211; fig0020</title>
		<link>http://www.piprime.fr/742/asymptote-using-three_asy-fig0020/</link>
		<comments>http://www.piprime.fr/742/asymptote-using-three_asy-fig0020/#comments</comments>
		<pubDate>Fri, 26 Oct 2007 13:50:51 +0000</pubDate>
		<dc:creator>Ph. Ivaldi</dc:creator>
				<category><![CDATA[Asymptote]]></category>
		<category><![CDATA[Examples 3D]]></category>
		<category><![CDATA[three.asy]]></category>
		<category><![CDATA[palette]]></category>
		<category><![CDATA[patch]]></category>
		<category><![CDATA[path3]]></category>
		<category><![CDATA[Shading (3D)]]></category>
		<category><![CDATA[surface]]></category>
		<category><![CDATA[triple]]></category>

		<guid isPermaLink="false">http://060f4dea83ec29be9869988bc7094916</guid>
		<description><![CDATA[You may view all the posts of the category "three.asy" (Compiled with Asymptote version 2.14svn-r5318) import three; import palette; size(12cm); currentprojection=orthographic(1,1,1.5); currentlight=(1,0,1); triple P00=-X-Y+0.5*Z, P03=-X+Y, P33=X+Y, P30=X-Y; triple[][] P={ {P00,P00+(-0.5,0.5,-1),P03+(0,-0.5,1),P03}, {P00+(0.5,-0.5,-1),(-0.5,-0.5,0.5),(-0.5,0.5,-1.5),P03+(0.5,0,1)}, {P30+(-0.5,0,1),(0.5,-0.5,-1.5),(0.5,0.5,1),P33+(-0.5,0,1)}, {P30,P30+(0,0.5,1),P33+(0,-0.5,1),P33} }; surface s=surface(patch(P)); s.colors(palette(s.map(zpart),Gradient(yellow,red))); // s.colors(palette(s.map(zpart),Rainbow())); draw(s); draw(sequence(new path3(int i){ return s.s[i].external();},s.s.length), bp+orange); if(!is3D()) shipout(bbox(Fill(lightgrey))); $(document).ready(function(){$("a#fig060f4dea83ec29be9869988bc7094916").fancybox();});]]></description>
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