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
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
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
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
For this year’s MathsJam Bakeoff I made a hyperbolic paraboloid out of matchmakers. For anybody who doesn’t know, matchmakers are thin chocolate sticks with crunchy bits, traditionally mint but now available in orange, salted caramel and possibly other flavours. They are delicious even when they are not being used for maths.
Continue reading Hyperbolic Paraboloid in Matchmakers
A polyhedron is Rupert if you can cut a hole in it that’s large enough for an identical polyhedron to fit through. I’ve talked about the Rupert tetrahedron, the Rupert cube and the Rupert octahedron. Today it’s the dodecahedron.
Continue reading Rupert Polyhedra: Dodecahedron
I’m excited to share my new TeeMill site, selling T-shirts based on graphs of parametric equations.
There are three designs currently available, and all can be bought in loose fit or fitted, and with or without the equations that created the design displayed underneath.
You can also find GeoGebra files, where you can play with the graphs of the equations yourself, here.
I’d like to introduce you to the graph of $x=\sin(f_1t)e^{d_1t}$, $y=\sin(f_2t)e^{d_2t}$, a curve that spins, laughs and dances.
Continue reading Spin, Laugh and Dance
I’m trying to imagine a solid. From the front, it looks like a Koch snowflake. From the top, it looks like a Sierpinski carpet. How might it look from the side? How would it feel? Is it even possible?
Continue reading The Carpeted Hexaflake