1. ## Re: Hedrons

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Tetraheron, since it is spelled incorrectly</span hide>

Steve

2. ## Re: Hedrons

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">The faces of the dodecahedron do not tessellate, the others do?</span hide>

3. ## Re: Hedrons

<P ID="edit" class=small>(Edited by sdckapr on 13-Oct-04 10:21. Added clarification)</P><span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold"> If you spell them correctly and still need an answer:
Hexahedron is not a platonic solid</span hide>

Steve
<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Clarification: a regular hexahedron (the cube) is a platonic solid, but "hexahedron" is a generic term and not a specific shape.</span hide>

4. ## Re: Hedrons

OK Steve

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Good point let me clarify, I am looking at a regular Hexahedron, which is a platonic solid</span hide>

5. ## Hedrons

Tetrahedron,Hexahedron,Octahedron, Icosahedron,Dodecahedron.

Which is the odd one out?

Edited to get rid of spelling mistake!!!!

6. ## Re: Hedrons

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Good answer, not the ONE I am looking for. Sorry it is one of those puzzles</span hide> <img src=/S/evilgrin.gif border=0 alt=evilgrin width=15 height=15>

7. ## Re: Hedrons

The <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">(regular) hexahedron is the only one with a "common" name - the cube.</span hide>

Alan

8. ## Re: Hedrons

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Good answer, but not the one I am looking for!!!!!!</span hide>

I am knocking off work now but will be back to give you a clue tomorrow, if needed!

9. ## Re: Hedrons

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Hexahedron - it's the only solid in the list which does not have triangular faces.</span hide>

10. ## Re: Hedrons

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">The dodecahedron does not have triangular faces either. It has pentagons</span hide>

Steve

11. ## Re: Hedrons

<img src=/S/bash.gif border=0 alt=bash width=35 height=39> Thanks Steve. I failed, yet again, to engage brain before posting. The answer must therefore be:

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">The icosahedron, since this is made up of more than one polygonal face, namely, hexagon and pentagon.</span hide>

12. ## Re: Hedrons

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">The "regular" icosahedron is 20 triangular faces. Based on a Jezza response (on the hexahedron), I have to presume they are all the "regular" shapes - all Platonic solids. Thus they each one is composed of x identical faces, but I could be making an incorrect presumption.</span hide>

The list given is all the platonic solids.

Steve

13. ## Re: Hedrons

Alternatively, <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">the hexahedron is the only one with an even number of edges on its faces.</span hide>

Alan

14. ## Re: Hedrons

OK, some of you are going along my train of thought, the five polyhedra can no assumed to Regular and are the Platonic solids.

Not wanting to give too many clues away but 4 of them can be paired together, one cannot. I am looking for that property!

15. ## Re: Hedrons

The <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">tetrahedron, its reciprocal ("Dual") is another tetrahedron, the other reciprocals are all different solids</span hide>

Steve

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