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authordos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
committerdos-reis <gdr@axiomatics.org>2007-08-14 05:14:52 +0000
commitab8cc85adde879fb963c94d15675783f2cf4b183 (patch)
treec202482327f474583b750b2c45dedfc4e4312b1d /src/input/mult3d.input.pamphlet
downloadopen-axiom-ab8cc85adde879fb963c94d15675783f2cf4b183.tar.gz
Initial population.
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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input mult3d.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited 1991.
+@
+<<*>>=
+<<license>>
+
+)clear all
+s := create3Space()$ThreeSpace(DFLOAT)
+draw(curve(sin(t),cos(t),0),t=0..2*%pi,tubeRadius==.3, space == s)
+draw(curve(sin(t)*cos(%pi/2),cos(t),0-sin(t)*sin(%pi/2)),t=0..2*%pi,tubeRadius==.3, space == s)
+
+v1 := draw(curve(sin(t),cos(t),0),t=0..2*%pi,tubeRadius==.3)
+s1 := subspace(v1)
+v2 := draw(curve(sin(t)*cos(%pi/2),cos(t),0-sin(t)*sin(%pi/2)),t=0..2*%pi,tubeRadius==.3, space == s1)
+s2 := subspace(v2)
+
+)clear all
+v := draw(surface(x*cos(y),x*sin(y),y*cos(x)),x=-4..4,y=0..2*%pi)
+s := subspace(v)
+makeObject(curve(4*sin(t),4*cos(t),-4),t=0..2*%pi,tubeRadius==.3, space == s)
+makeObject(curve(4*sin(t),4*cos(t),0),t=0..2*%pi,tubeRadius==.3, space == s)
+draw(curve(4*sin(t),4*cos(t),4),t=0..2*%pi,tubeRadius==.3, space == s)
+
+)clear all
+s := makeObject(surface(cos(t)*sin(p),sin(t)*sin(p),cos(p)),t=0..2*%pi,p=0..%pi)
+makeObject(curve(4*sin(t)*cos(%pi/2),4*cos(t),0-sin(t)*sin(%pi/2)),t=0..2*%pi,tubeRadius==.3, space == s)
+draw(curve(2*sin(t),2*cos(t),0),t=0..2*%pi,tubeRadius==.3, space == s)
+
+)clear all
+s := makeObject(curve(4*sin(t),4*cos(t),0),t=0..2*%pi,tubeRadius==.3)
+makeObject(surface(cos(t)*sin(p),sin(t)*sin(p),cos(p)),t=0..2*%pi,p=0..%pi, space == s)
+makeObject(surface(cos(t)*sin(p)-3,sin(t)*sin(p)-3,cos(p)+2),t=0..2*%pi,p=0..%pi, space == s)
+draw(surface(cos(t)*sin(p)-6,sin(t)*sin(p)-6,cos(p)+4),t=0..2*%pi,p=0..%pi, space == s)
+
+)clear all
+s := create3Space()$ThreeSpace(DFLOAT)
+draw(cos(x*y)+1,x=-3..3,y=-3..3, space == s)
+draw(-cos(x*y)-1,x=-3..3,y=-3..3, space == s)
+
+)clear all
+torusInKnot(p,q,r) ==
+ free sp
+ sp := create3Space()$ThreeSpace(DFLOAT)
+ a := 1
+ b := 1
+ ab := a+b
+ fac := 2*ab/(1.1*ab-sin(q*t))
+ Title := concat("Torus Knot of Type (", concat(p::String,
+ concat(",", concat(q::String, ")"))))
+ Curve := curve(a*fac*cos(p*t), a*fac*sin(p*t), b*fac*cos(q*t))
+ r = 0 => draw(Curve, t=0..2*%pi, title == Title)
+ draw(Curve, t=0..2*%pi, tubeRadius == r, title == Title, space == sp)
+
+torusInKnot(15,17,.1)
+draw(curve(2.2*sin(t),2.2*cos(t),0),t=0..2*%pi,tubePoints==10,tubeRadius==.7, space == sp)
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}