Rhombii

And the follow up:

Rest of the owl 2

Fractals in GeoGebra

Two fractals in GeoGebra: Menger Sponge (link) and Sierpinski Triangle.

GeoGebra Sierpinski:

A1={Polygon[(0,0),(10,0), 3]}
A2=Join[Zip[{polygon[point[A, 0], point[A,1/6], 3], polygon[point[A,1/6], point[A,1/3],3], polygon[point[A, 5/6], point[A, 1/2], 3]}, A, A1]]
B2=Join[{},{Zip[polygon[point[A, 1/6], point[A,1/2], 3], A, A1]}]
Copy A2&B2 to A3&B3.

— Tim (@timteachesmath) July 13, 2019

Polyrhythmic juggling 2

5-against-3:

6-against-5:

And a link to 5-against-4-against-3: https://www.geogebra.org/m/dvstefbz

Polyrhythmic juggling

3 against 2:

3 against 2, doubled:

Inspired by

A curious relationship in triangles

Hint:

A curious sequence in squares

A curious sequence: what fraction of each square is shaded?  (You may assume radial symmetry.)