That explains a lot, this in particular is a head scratcher:
Quote:
We began by borrowing some ideas from non-mathemagicians, like old-time roofers and ancient explorers. From the roofers we got the idea that angles can be expressed in “rise over run” terms (instead of degrees); and from explorers we got the idea for something more natural than the infamous “unit circle” of the mathemagic world: the compass. This is a picture of our Osmosian compass:
Line slope is often used in place of angles. (and I guess he thinks Euclid was a roofer?)
And I have no idea why the compass is considered an alternative to the unit circle, which illustrates points on a circle by their slope instead of degrees, which I guess is bad now. I also like the ultra convenient 384 degree compass he draws below, I guess he doesn't know 360 degrees was chosen due to how easy it was to factorise, something that seems like it would fit very well with his integer ratios only kinda deal.
Finally when I google Osmosian I just get links to an alien race from a cartoon, so I don't know what the deal with that is.