Geometric Shapes

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I always on occasion liked reading/learning about geometric shapes, and sometimes do art with rulers/math toys (coloring them with colored pencils, occasionally (Crayola) paints). I generally have an eye for things I see around, like sidewalks, buildings, lights, roads, as in noticing arches and lines and such (trying to describe what I mean!). One example is realizing that a flowery bathroom tile was made up of a hexagon surrounded by hexagons.

Anyway, here's a link I found interesting:
https://www.math-salamanders.com/list-of-geometric-shapes.html

Interesting how the Irregular octagon, decagon, etc. can look so different from the "standard" shape, yet still be classed in that category.

There's something that I find very appealing about geometry too. I still practice the old technical drawing techniques that I learned decades ago - constructing regular polygons, tangents to circles etc. using just pencil, compasses and straight edge. Of course, any computer design program can do that in the blink of an eye nowadays, but there's something very satisfying about being able to do it myself from first principles.

Tessellated (tile) patterns fascinate me, and they also bring out my synesthesia - walking across a tiled floor can give me the strange physical sensation of the pattern moving across my skin or through my body, or the feeling that my feet won't quite reach the ground, and the feeling is different depending on the size and shape of the tile pattern.

I'm also fascinated by fractals, and artists like MC Escher who play with the effect that geometry can have on our minds.

Another "thing in my surroundings" that I noticed about a week ago (and now CAN'T UNSEE) is that the majority of light switch panels/covers are rectangular, and so are the switches inside!

That's very interesting!

The value of Pi

(22/7 is not a perfect Pi, but it is close enough)

squaring the circle earth moon

Hope this image link works... 'Tis one of my maths artworks)



All the areas, which are one colour are prime numbers)
(Tell me if it does or doesn't work)

Last edited by Substantially_Abstract on 15 Jun 2018, 1:05 pm, edited 2 times in total.

The value of Pi cannot be determined by "Squaring the Circle".

While 22/7 is a common approximation of Pi, 333/106 is better, and 355/113 is even better than that. In fact, there is a large number of ratios that can approximate Pi with progressively greater accuracy, but none that will exactly equal Pi. Three more such ratios are: 52163/16604, 103993/33102, and 245850922/78256779.

And a little unnerving sometimes! It can catch me by surprise if I go into a room that I don't know which has a tiled floor or patterned carpet/wallpaper. I get a sense of vertigo and can stumble a bit until I get my head around where my body is in relation to the space around me, a bit like walking across a invisible floor.


I've given up expecting numbers to be any more rational than most of the people I meet!

i work in a tourist attraction revolved around illusions and the toilets have weird escheresque tessellated tiles
fairly "trippy" (pun intended)

wow im on a roll with puns today