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Math Forum / Mathematics / Undergraduate Math / April 2008



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Not a collage kid but got a new idea

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Michael D'Urso - 14 Apr 2008 18:20 GMT
well i'm a 16 year old kid still in high school and i think i found a new formula but my teachers think its irrelavant but i thing otherwise

Eb = # of edges on a base
Ef = # of edges on a face
E = # of edges

this formula works only for prisms and pyramids

Eb(Ef-1)=E

This one works for the dodecahedron and icosahedron

Eb(Ef-1)+(2Eb)=E

I need an opinion to know if its relevant
Christopher Henrich - 15 Apr 2008 12:57 GMT
In article
<6383934.1208188275147.JavaMail.jakarta@nitrogen.mathforum.org>,

> well i'm a 16 year old kid still in high school and i think i found a new
> formula but my teachers think its irrelavant but i thing otherwise
[quoted text clipped - 12 lines]
>
> I need an opinion to know if its relevant

There are difficulties.  

For prisms and pyramids, different faces have different numbers of
edges. so "Ef" might have different values.

For the dodecahedron and icosahedron, Ef is well-defined, but what is Eb?

-----------------------------------------

Searching for a relation between V, E, and F - the numbers of vertices,
edges, and faces of a polyhedron  - might be a better way.

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Christopher J. Henrich
chenrich@monmouth.com
htp://www.mathinteract.com

Michael D'Urso - 15 Apr 2008 20:25 GMT
To what i know there really isn't a base for it except parallel plains make a base except pyramids
Michael D'Urso - 15 Apr 2008 20:25 GMT
Eb = # of edges on a base
Ef = # of edges on a face
E = # of edges
F= # of faces

this formula works only for prisms and pyramids

Eb(Ef-1)=E

This one works for the dodecahedron and octahedron

Eb(Ef-1)+(2Eb)=E

For laughs works on the icosahedron

F+10=E
 
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