In article
<636093.1208189292771.JavaMail.jakarta@[EMAIL PROTECTED]
>, Michael
D'Urso <comic_guy10096@[EMAIL PROTECTED]
> wrote:
> 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 think otherwise. Its
how
> to find the # of edges but euler has a type of formula
Indeed he does: V - E + F = 2 where V is the number of vertices, E the
number of edges and F the number of faces. This applies to any
polyhedron without holes.
> 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
>
> I need an opinion to know if its relevant
Relevant to what? It's good that you are thinking about such things.
The cases of the octahedron, duodecahedron and icosahedron are really
very special - one could just count.
A good exercise would be for you to describe _all_ of the polyhedra for
which your first formula is correct.
> Plus i also need to know how to prove this and i'm clueless about proofs
> My teachers said i needed to ask on how to write a proof to someone on a
near collage level
Learning how to write proofs is an acquired skill. You really need
someone to read your attempts and critique them. The group
alt.math.undergrad is not a bad place for this if your teachers are not
up for it. There are some people here who have graded many, many
alleged proofs. You must, however, be prepared for criticism - perhaps
a lot of it - it is part of the process.
[Here is a bit of avuncular advice: Watch your grammar. Start sentences
with capitals; refer to yourself as "I" and not "i"; learn the
difference between "its" and "it's". Euler really deserves a capital.
Stuff like that.]
--
Paul Sperry
Columbia, SC (USA)
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