#angles #sin #cos

Visual proof for the (3, 4, 5) triangle as in the Zhoubi Suanjing 500–200 BC. #history #pythagorastheorem

In #geometry of tessellations, a rep-tile or reptile is a shape that can be dissected into smaller copies of the same shape.
In the example, defining an aperiodic tiling (the pinwheel tiling) by repeatedly dissecting and inflating a rep-tile.

#geometry #cos

Trisection using the Archimedean spiral #angles

Mandelbrot #sets

the geometric mean of two positive numbers is less than or equal to their arithmetic mean #geometry

#geometry #angles

Cauchy-Schwarz inequality

table of Lissajous curves