A spiral of dancing triangles…just because.

Continue reading Dancing Triangles: Sunday Maths Animations Week 9# Tag Archives: MathsArt

# Pythagorean Spiral meets Pursuit Curves: Sunday Maths Animations Week 8

Earlier this week I was proofreading a book that mentioned Pythagorean spirals. I had seen them before but never thought about them too deeply, so I gave them a try in GeoGebra. I filled them in with curves of pursuit, just for fun!

Continue reading Pythagorean Spiral meets Pursuit Curves: Sunday Maths Animations Week 8# More Cardioid Rainbows: Sunday Maths Animations Week 7

Week 7 of my Sunday Maths Animations is another one that started out as a cardioid. Varying a different parameter gives a completely different effect.

Continue reading More Cardioid Rainbows: Sunday Maths Animations Week 7# Cardioid Rainbow: Sunday Maths Animations Week 6

Week 6 of my Sunday Maths Animations started out as a cardioid, but quickly became something else.

Continue reading Cardioid Rainbow: Sunday Maths Animations Week 6# Pythagorean Tree: Sunday Maths Animations Week 5

Week 5 of my Sunday Maths Animations is a Pythagorean tree, drawn point by point.

Continue reading Pythagorean Tree: Sunday Maths Animations Week 5# Rhodonea Spheres: Sunday Maths Animations Week 4

Week 4 of my Sunday Maths Animations is my old favourite the Rhodonea curve, rendered with spheres. The ending is extremely satisfying!

Continue reading Rhodonea Spheres: Sunday Maths Animations Week 4# Infinitely Zooming Circles: Sunday Maths Animations Week 3

Week 3 of my Sunday Maths Animations grew from a puzzle at February’s MathsJam that involved calculating the shaded area in a shape involving infinitely recursing circles. Can you tell which circles are changing in size and which are staying the same?

Continue reading Infinitely Zooming Circles: Sunday Maths Animations Week 3# Circles on a Harmonograph Curve: Sunday Maths Animations Week 2

For week 2 of my Sunday animations I’ve stuck with circles, this time on a harmonograph curve (which is a relation of the Lissajous curves).

Continue reading Circles on a Harmonograph Curve: Sunday Maths Animations Week 2# Circles on a Lissajous Curve: Sunday Maths Animations Week 1

I’ve been enjoying making animations in Geogebra recently, and have decided to try publising one every week on YouTube. Here is week 1.

Continue reading Circles on a Lissajous Curve: Sunday Maths Animations Week 1# Spiky Feathers and Geometric Fish

The astroid curve is an example of a hypocycloid – a curve generated by rotating a fixed point on a small circle around a larger circle. Specifically, it is a hypocycloid with four cusps.

Continue reading Spiky Feathers and Geometric Fish