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Mathematics 19 Online
OpenStudy (aaronandyson):

Name any 5 platonic solids and state their properties. Verify the Euler's formula for each.

OpenStudy (irishboy123):

everything you need is here honestly, to help you, i'd have to read this myself.... soz:(

OpenStudy (aaronandyson):

@Jhannybean

OpenStudy (jhannybean):

@Empty because im not very familiar with Euler's formula.

OpenStudy (aaronandyson):

What are Platonic Solids?

OpenStudy (empty):

These are the platonic solids. They're just some pretty shapes, kind of like 3D versions of regular polygons: http://www.technologyuk.net/mathematics/geometry/images/geometry_0185.gif They obey Euler's characteristic formula: V-E+F=2 This is actually much simpler than it might appear! V means Vertices (corners) E means edges (where faces meet) and F means number of faces. So if you look at a cube, you can see that it has 6 faces (F=6), 8 corners (V=8) and 12 edges (E=12). So we plug these in: 8-12+6 and when you add these all up, you get 2! Use this example to help you understand what these words all mean by looking at a cube, and try it out on the other shapes. You'll know you did it right when you get 2. :D

OpenStudy (aaronandyson):

Ah. That's is in general,not specific right?? ?

OpenStudy (empty):

Yeah this is in general for shapes that aren't perfect like these.

OpenStudy (aaronandyson):

Um. How do I get the properties of each of the platonic solid?>_<

OpenStudy (zzr0ck3r):

for planar graphs(graphs whose edges don't cross) I think.

OpenStudy (aaronandyson):

Do you know individual properties of the platonic solids?@Empty

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