Attack of the Hyper Kimmy....

[Scellanis]

ok, this is a really random case of me doing too much revision...I chose c.

[Alice I]

I googled the term "Finite Affine Plane" and got this:

I have been trying to review my undergraduate work with modern geometries (it's
been too long), and I'm stuck trying to model an affine plane of order 3. The
axioms are taken from "A Course in Modern Geometries", Judith Cederberg,
Springer-Verlag Publishers, 1989 and are as follows:

Axiom 1: There exist at least four points no three of which are collinear.
Axiom 2: There exists at least one line with exactly n (n>1) points on it.
Axiom 3: Given two distinct points, there is exactly one line incident with
both of them.
Axiom 4: Given a line "l" and a point "P" not on line "l", there is exactly
one line through "P" that does not intersect "l"

Somehow I am supposed to model this, then prove that in a plane of order n,
each point lies on exactly n+1 lines. I would welcome any advice and also any
suggestions for further reading to help enhacnce my rather limited
understanding of affine and projective planes.

I have no idea what any of that means so my answer is Orange.

Ask Won

[Scellanis]

lol, silly, I know exactly what they are, I have been revising them today.

According to my lecturer finite affline planes have order n-squared so how one could have order 3 I don't know unless they mean the plane we would say had order 9.

Damnit, I can't remember our axioms....

Well a finite affine plane is a set of points P and a set of subsets of P called Lines and denoted by L. They satisfy 3 axioms

1. Two distinct points A, B in P are contained in exactly one line from L usually denoted by l(A,B).
2. There are 4 distinct points in P, no 3 of which lie together on the same line.
3. For every line l in L and every point A in P there exists a unique line which contains A and is parallel to l.

And 5 facts:
1. Every point lies on exactly n+1 lines.
2. Every line contains exactly n points.
3. There are exactly n-squared points.
4. There are exactly n-squared+n lines.
5. For every line there are exactly n lines parallel to it.

Hehe, who is that poor person you quoted me wonders....I know how to construct them and have the proof of the n+1 lines thing.....lol

[Athena Appleton]

I can do simple arithmetic...

now, ask me any literature question, and I can kick some bootie

[TDM]

i agree with sonkem on picking option C

[fierce]

oh jeez... nothing in that made any sense to me whatsoever

I can't stand maths.

And yet I somehow got nudged into the role of calculating duties at work? how on earth did that happen?

[Won Wheezy]

I have no idea what any of that means so my answer is Orange. Ask Won

Yeah, that`s right Alice I - orange is always a good answer.

[choki]

That's why I used to say...only crazy people study maths at tertiary level. I had enough maths in A level and that's the highest level I would. Not even a million buck would change my mind!

[Ferrus]

I voted for a) but I´m going to have to study planes next year so I can´t really run away.... AAARG!!!

[Jotomicron]

I thought I understood math...

I'll say b) just because no one has said that yet!

[Mint]

A - definitely!!!

[Paul]

Well I thought the question was a spelling mistake! I voted b but I think the orange people have the real hidden answer (hey, maybe an orange is a finite affine plane?).

[Nobby]

hehe

i know i'm strange but i did actually understand a lot of it!!

but i'd be hyper too if i had to revise it

[Scellanis]

ok, now thats just freaky...see this poll originated as my poll for my elftown house.....and as it stands right now the poll there and the poll here are giving identicle results...

[Paul]

Hee hee - both places are on the same finite affine plane of thought. By the way, did you and the person Alice found both change your minds half-way through the explanations, or am I just totally not getting it?

Axiom 1: There exist at least four points no three of which are collinear.

2. There are 4 distinct points in P, no 3 of which lie together on the same line.