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25 July, 2007

Exploring a dodecahedron

This Project is contributed by Kapil Khurana XF

Aim Exploring a dodecahedron
Material required

Step 1. Take a blank sheet and draw the outline of a CD .

Step 2. Now find out the centre of the circle formed by drawing two chords and their perpendicular bisectors and draw one radius and produce it slightly out of the circle .

Step 3. Now taking the centre and with the help of a protector make an angle of 72 degree .

Step 4 . Repeat the process till the first radius and the last radius also make an angle of 72 degree .

Step 5 . Now put a CD over it and mark the meeting points of CD corners and these lines

Step 6 .Now join all five points on the CD obtained by the previous step
Step 7 . Now cut the CD along these lines
Step 8. Repeat all the previous steps to form 11 more polygons of CD and hence we have 12 CDs

Step 9 . Now paste the two sets CDs with the help of M seal in the following manner

Step 9 . Put the two sets over one another and paste them very carefully
Step 10. Cover all the boundaries with tape and then paint it with a permanent marker to give it a metallic look

A dodecahedron is any polyhedron with twelve faces, but usually a regular dodecahedron is meant: a Platonic solid composed of twelve regular pentagonal faces, with three meeting at each vertex. It has twenty (20) vertices and thirty (30) edges.

The Dodecahedron has been a source of metaphysical interest for at least 2000 years. Like a crystal or gem, its facets and symmetries compel our eyes and hearts to observe life more deeply. Some have believed that the Dodecahedron represents an idealized form of Divine thought, will, or idea. To contemplate this symbol was to engage in meditation upon the Divine. Today many people believe there is a lost knowledge residing in the past, slowly being rediscovered. It is known that figures like Pythagoras, Kepler, and Leonardo, among many, were educated in these Sacred Geometries, and held many beliefs about them and their role in the Universe .
This is a very creative work done by Kapil. He has utilised e-waste for making such a useful mathematical model.I would like to thank him on behalf of the members of Planet Infinity.

1 comment:

Florencia Puente said...

good job! congratulations!

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