Posted without further comment πŸ”»

#meme #absurdist #geometry #blog

@salgood

I'm saving this for the quadrilaterals unit. Although, I do think we define "sides" to be "straight lines" which has its own problems as an undefined term. Still I like this.

@futurebird @salgood and one for your stats module
@mensrea @futurebird @salgood Thanks, that is my giggle-of-the-day.
@futurebird @salgood
Four *internal* right angles would be sufficient.

@AlisonW @salgood

How do you know which side is the internal one?

@futurebird @salgood
I'd presume the enclosed space but ymmv.

@AlisonW @salgood

But how do you define which side is the "inside" and which one is the "outside" ? How do we make that concept well defined?

@futurebird @AlisonW @salgood so for fun, pick some reasonable definition and see if it checks out ;⁠)

@futurebird @AlisonW @salgood
The Jordan Curve Theorem?

But also see e.g. this (older article) for several practical implementations for point-in-polygon testing:

https://erich.realtimerendering.com/ptinpoly/

Point in Polygon Strategies

Point in Polygon Strategies article from Graphics Gems IV

@futurebird @AlisonW @salgood
You have to keep the picture indoors at all times, otherwise it stops being a square.
@futurebird @salgood also, the fact that it cheats by considering _external_ right angles in two cases (sorry but those angles are 3Ο€/2 each, not Ο€/2) really spoils the joke for the pedants.