Initial population.

1 files changed, 102 insertions, 0 deletions

diff --git a/src/input/images5.input.pamphlet b/src/input/images5.input.pamphlet
new file mode 100644
index 00000000..49a96b2c
--- /dev/null
+++ b/src/input/images5.input.pamphlet
@@ -0,0 +1,102 @@
+\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}