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#1 olibenu  Icon User is offline

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3D shape name

Posted 25 June 2012 - 04:15 AM

i've been referring to dreamincode for a while that i thought we owned dic.net.

what do you call a 3D shape which has faces all of the same number of sides?

is there a formula for knowing the number of faces?

i feel this isn't enough to start a new topic
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#2 lordofduct  Icon User is offline

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Re: 3D shape name

Posted 25 June 2012 - 07:07 AM

A Platonic Solid

http://en.wikipedia..../Platonic_solid
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#3 tlhIn`toq  Icon User is online

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Re: 3D shape name

Posted 25 June 2012 - 08:24 AM

Learn something new every day.

I always thought a platonic solid was when your friend did you a really big favor, like being interested in the fat one so you can ask the hot one out.
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#4 lordofduct  Icon User is offline

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Re: 3D shape name

Posted 25 June 2012 - 08:34 AM

Oh, I forgot to point out the Kepler Poinsot Polyhedra:

http://en.wikipedia....insot_polyhedra

Any of which are called a 'regular polyhedron'

http://en.wikipedia....ular_polyhedron


What innuendo can we attach to that name?

This post has been edited by lordofduct: 25 June 2012 - 08:36 AM

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#5 tlhIn`toq  Icon User is online

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Re: 3D shape name

Posted 25 June 2012 - 08:38 AM

Hmmm... Poly: More than one... So polyhedra would be more than one instance of hed: That's always a good thing.

For the rest... I got nothin'
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#6 GWatt  Icon User is offline

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Re: 3D shape name

Posted 25 June 2012 - 11:49 AM

View Postolibenu, on 25 June 2012 - 07:15 AM, said:

i've been referring to dreamincode for a while that i thought we owned dic.net.

what do you call a 3D shape which has faces all of the same number of sides?

is there a formula for knowing the number of faces?

i feel this isn't enough to start a new topic


If there is a formula that will tell you the number faces from the number of sides on each face it will probably not give you a complete answer. For example, a tetrahedron, octahedron, and icosahedron (20) can all be made of equilateral triangles.
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#7 lordofduct  Icon User is offline

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Re: 3D shape name

Posted 25 June 2012 - 12:45 PM

I have a formula, it's in their names...

tetrahedron - tetra means 4
hexahedron - hexa means 6
octahedron - octa means 8
dodecahedron - do (two), deca(10), dodeca (12)
icosahedron - icosa means 20

As for the concave kepler-poinsot polyhedra, no, because each shape is concave and are named after the Platonic Solid they are stellating. Though of course if you know the specific way you've stellated, and the starting platonic solid, then yes... you should be able to figure it out algorithmically.

This post has been edited by lordofduct: 25 June 2012 - 12:47 PM

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