CS1112 Fall 2010 Project 1
due Thursday 9/9 at 11pm
You must work either on your own or with one partner.
You may discuss background issues and general solution
strategies with others, but the project you submit must be the work of just you (and your partner). If you work with
a partner, you and your partner must first register as a group in CMS and then submit your work as a group.
Objectives
Completing this project will help you learn about
Matlab
scripts, assignment statements, ifelse statements,
and some
Matlab
builtin functions. You will also start to explore
Matlab
graphics.
1
Kepler’s Model of Planetary Orbits
In the 16th century, Johannes Kepler tried to explain the orbits of the then six known planets by nesting
the five Platonic solids:
By nesting alternately a sphere and a platonic solid in a particular order, Kepler obtained sphere sizes that
were proportional to the sizes of the orbits of Mercury, Venus, Earth, Mars, Jupiter, and Saturn. The nesting
order of the platonic solids, from outside to inside, is the cube, tetrahedron, dodecahedron, icosahedron, and
octahedron. See Kepler’s model below. Since the nesting begins with a sphere and ends with a sphere, there
are
six
spheres with the five platonic solids in between.
Write a script that calculates and prints the radii
and circumferences of the six spheres in Kepler’s
model, assuming that the outermost sphere is a
unit sphere (i.e., radius one), the spheres have zero
thickness, and the nesting is tight.
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 Fall '08
 DAISYFAN
 partner, Rectangle, Platonic solid, Johannes Kepler, title area, ﬁve platonic solids

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