Time to test this "Mastodon Poll" thingy ...
Is a square a special kind of rectangle?
Please boost for wider engagement - it would be nice to get reactions from more people ...
@ColinTheMathmo I think you'd have gotten more passionate responses if you asked whether a parallelogram is a special kind of trapezoid.
@ColinTheMathmo very different response to your equivalent twitter version. Interesting!
@Bruce Isn't it.
I've been told that primary school teachers have been told to teach that a shape can be either a square *or* a rectangle but not both.
@ColinTheMathmo I remember a maths lesson from my childhood where we had to work out which shapes were special cases of other shapes and decide how to show this graphically. It was a fascinating lesson which now “couldn’t” be taught! I made a sort of flow diagram and got a gold star!
@Bruce That sounds fabulous - love it! Have you seen the Euler diagram of the quadrilaterals where the containing shapes are the shapes themselves?
@ColinTheMathmo no do share
@ColinTheMathmo that is wonderful. I’ve certainly not seen anything like that before. My primary school teacher would have given a huge gold star for that
I'd like to know what "it depends" _on_, if anyone giving that answer would care to explain.
@ColinTheMathmo P.S. Or p = 1, but, wait, that's rhombus…
@amiloradovsky That's using a definition of "circle" that then varies as you change your metric.
Interesting stuff, but not really the question we're looking at.
@ColinTheMathmo It's actually the usual definition of a circle/sphere, as the locus of equidistant points from a (center) point. It just so happens that this circle/sphere would look just like a coordinate square/parallelogram.
It's all about the distances/metric/norm/etc.
@amiloradovsky Indeed, I know that, just not sure it's all that helpful in this context.
Useful in other contexts - I use it quite a lot in various places.
@ColinTheMathmo that's where this rabbit hole leads. 🐇
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