## Criteria for Polygonal Shape To Be Tileable On Contiguous 2D Grid?

I am experimenting with a game engine and want to come up with a generic solution for creating tileable 2D grids. That got me thinking… not all regular polygons are able to be tiled contiguously & not all tileable polygons (at least for triangles & quadrilaterals) have to be regular.

What exactly are the criteria a polygonal shape must meet to be tileable?

submitted by /u/form_d_k

## What car brand or model attracts the worst drivers?

I was driving from Seattle to Portland yesterday and I don’t know what it was but there was a disproportionate amount of Nissan Altimas and Honda Pilots driving like a maniacs. One Altima in particular was tailgating me for half an hour. The second it looked like there was an opportunity to pass, he would blow by me, get stopped 3-5 car lengths ahead because of traffic, then get right back behind me.

submitted by /u/Bigfrie192

## Is there a geometric solution to the integral of sin x?

I was wondering why the Intergral from 0 to π of sin x equals exactly 2. I know how to integrate and this makes sense, but having this special graph makes me think that there might be more behind. I mean, the area of this half sine wave is the same as the area of a 2×1 rectangle.

So more specificly my question is: can you get a 2×1 rectangle by geometric transformation of a half-sine-wave-area? Allowed is cutting, rotating and mirroring.

submitted by /u/FelicxzZ

## Are matrices objects in their own right, or are they forever intimately tied to linear transformations?

In other words, can we study matrices without ever mentioning a linear transformation (much like one can study linear algebra without mentioning matrices)?

I mean, matrices form a very nice algebraic structure, all operations are quite well defined, etc.

submitted by /u/extremeaxe5

## I’d like to know which statistic software I should start learning

Hey, I’m sorry if this is a stupid question or not the right location to post this.

I’ve recently graduated in an MSc in Social Anthropology, and have secured a job as a policy researcher. However, I’m looking to improve my CV for future interviews and promotions down the road. I have a lot of experience in Qualitative research (fieldwork, ethnography etc) but not much at all in Quantitative research. Too cut this post short, where the hell do I start? I’ve heard that R Studio is a great place to begin with, and I luckily still have online access to a introduction module on the software at my university, but I have also heard of SPSS, Python, SQL, SAS.

If any of you could give me a run down of where a good starting place would be to learn statistics software/the differences between softwares that would be extremely helpful. I am a policy researcher at a political organisation, and most of my future research work will revolve around social science/social policy, health etc.

Thanks!

submitted by /u/Memo_moto