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+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input images5.input}
+\author{The Axiom Team}
+\maketitle
+\begin{abstract}
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+\section{License}
+<<license>>=
+--Copyright The Numerical Algorithms Group Limited 1994.
+@
+<<*>>=
+<<license>>
+-- Color gallery page 5
+
+
+-- Etruscan Venus
+-- Parameterization by George Frances
+
+venus(a,r,steps) ==
+ surf := (u:DoubleFloat, v:DoubleFloat): Point DoubleFloat +->
+ cv := cos(v)
+ sv := sin(v)
+ cu := cos(u)
+ su := sin(u)
+ x := r * cos(2*u) * cv + sv * cu
+ y := r * sin(2*u) * cv - sv * su
+ z := a * cv
+ point [x,y,z]
+ draw(surf, 0..%pi, -%pi..%pi, var1Steps==steps,var2Steps==steps,
+ title == "Etruscan Venus")
+
+venus(5/2, 13/10, 50)
+
+-- Figure Eight Klein Bottle
+-- Parameterization from:
+-- "Differential Geometry and Computer Graphics" by Thomas Banchoff
+-- in Perspectives in Mathemtaics, Anneversry of Oberwolfasch 1984.
+-- Beirkhauser-Verlag, Basel, pp 43-60.
+
+klein(x,y) ==
+ cx := cos(x)
+ cy := cos(y)
+ sx := sin(x)
+ sy := sin(y)
+ sx2 := sin(x/2)
+ cx2 := cos(x/2)
+ sq2 := sqrt(2.0@DoubleFloat)
+ point [cx * (cx2 * (sq2 + cy) + (sx2 * sy * cy)), _
+ sx * (cx2 * (sq2 + cy) + (sx2 * sy * cy)), _
+ -sx2 * (sq2 + cy) + cx2 * sy * cy]
+
+draw(klein, 0..4*%pi, 0..2*%pi, var1Steps==50, var2Steps==50, _
+ title=="Figure Eight Klein Bottle")
+
+-- Twisted torus
+
+)read ntube
+
+-- rotate a 2-d point by theta round the origin
+rotateBy(p, theta) ==
+ c := cos(theta)
+ s := sin(theta)
+ point [p.1*c - p.2*s, p.1*s + p.2*c]
+
+-- a circle in 3-space
+bcircle t ==
+ point [3*cos t, 3*sin t, 0]
+
+-- an elipse which twists around 4 times as t revolves once.
+twist(u, t) ==
+ theta := 4*t
+ p := point [sin u, cos(u)/2]
+ rotateBy(p, theta)
+
+ntubeDrawOpt(bcircle, twist, 0..2*%pi, 0..2*%pi, _
+ var1Steps == 70, var2Steps == 250)
+
+-- Striped torus
+
+-- a twisting circle
+twist2(u, t) ==
+ theta := t
+ p := point [sin u, cos(u)]
+ rotateBy(p, theta)
+
+-- color function producing 21 stripes
+cf(u,v) == sin(21*u)
+
+ntubeDrawOpt(bcircle, twist2, 0..2*%pi, 0..2*%pi, _
+ colorFunction == cf, var1Steps == 168, var2Steps == 126)
+
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} nothing
+\end{thebibliography}
+\end{document}