>>14055260I mean, to give you an example, it's super obvious why only regular trigons*, tetragons** and hexagons tesselate if one looks at their interior angles (the angles inside their corners - which butt up against each other to make a full turn when they tile successfully).
In turns, the angles of the first few n gons are
3-gon: 1/6 (6* 1/6 turns = 1 turn)
4-gon: 1/4 (4* 1/4 turns = 1 turn)
5-gon: 3/10 (3 * 3/10 turns = 9/10 turn and 4 * 3/10 turns = 12/10 of a turn i.e. 6/5 of a turn)
6-gon: 1/3 turn (3* 1/3 turn = 1 turn)
7-gon: 5/14 turn (on wikipedia, some stupid training decimal shit in degrees, but anyway: we can see that there's no natural number multiple of 5/14 that gets us 14/14 i.e. 1/1 i.e. 1)
... (with various fractions between 1/3 and 1/2)
infinity-gon: 1/2 turn (kinda)
Which makes working with polygons extremely obvious. Instead, mathematicians want us to jam everything into the framework of half turns with radians (Pi radians is a half turn, so now 2*Pi radians is a turn - 2*Pi being the repetition point for the cos and sin functions, now less intuitive than "1 turn" or "1 Tau radians") or of multiples of 1/360 (the degree, based probably on a Mesopotamian rounding of the number of days in a year).
It's bad and I will not use it.
*triangles
**quadrangles
>>14055308Are you? See above for an example of degrees and radians as measured in Pi making things needlessly complex and unintuitive.
