projectsheet - CS1112 Fall 2010 Project 1 due Thursday 9/9...

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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, if-else statements, and some Matlab built-in 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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