Question

does anyone know how Heilbronn Triangle Problem exactly work?

Answer 1

http://en.wikipedia.org/wiki/Heilbronn_triangle_problem

Answer 2

i know :P
i need an expert who can really help me

Answer 3

@ganeshie8 is here to save the day

Answer 4

is this from topology @Marki ?
@zzr0ck3r @eliassaab

Answer 5

nope

Answer 6

its one of the famous conjectures

Answer 7

@Kainui lets study this when ur online

Answer 8

Not that I know of @ganeshie8

Answer 9

graph theory or geometry I am guessing.

Answer 10

"Discrete Geometry"

and im lost lol

Answer 11

@Marki sounds good let's do it! =D

Answer 12

lets do it kai :D

Answer 13

Awesome alright, so the idea is we're trying to maximize the size of rectangles?

Answer 14

errr triangles inside a rectangle*

Answer 15

yes

Answer 16

Hmm that's quite weird and seems really difficult just looking through these examples http://www2.stetson.edu/~efriedma/heilbronn/

Answer 17

I'm imagining trying to do this with linear algebra and set up a bunch of vectors so I can set up determinants, then take the derivative of all those characteristic equations and set it equal to zero...?

Answer 18

This is quite a complicated problem, interesting. hmm

Answer 19

hmm first lets try if we can apply some theorem then lets see how to prove them

Answer 20

I don't know how they would even prove these, I think the n=5 on the unit square seems like a reasonable case to look at.

Answer 21

hmm i proved when 2 points
and i remember i proved 3 points here in OS but cant remember where

Answer 22

Ahhh alright I gotta go help my brother, good luck. I'll think about this problem so we can work on it next time if you want. =)