Autumn in the skies
Autumn started with the death of our dear aunt Noor in The Netherlands, which came as a shock. It also brought about the second wave of COVID-19. That second wave … Continue reading Autumn in the skies
Category: Geometry Joys
Some thoughts on the dimensions of polyhedra and polygons: How to make a 3D polygon with no area
A polyhedron is just a bunch of faces connected by edges. All the vertices are closed, so there’re no open bits. So there’s no rule that a polyhedron has to … Continue reading Some thoughts on the dimensions of polyhedra and polygons: How to make a 3D polygon with no area
Graph of a Complex Number Function
Simon’s made this amazing complex number function graph in GeoGebra! Follow the link to play with it here. Just scribble on the screen by dragging the z1 dot around with … Continue reading Graph of a Complex Number Function
Our New Craze: Euclidea
Simon is obsessed with Euclidea https://www.euclidea.xyz/ — a learning environment for geometric constructions and proofs. He has also downloaded the Euclidea app (which has more features), so that he could continue engaging … Continue reading Our New Craze: Euclidea
Math To Go
Thanks to our usual summer hang-outs (Dutch beaches, local playgrounds and terraces) being closed, we have discovered that Simon doesn’t hate small hikes in the woods after all. At least … Continue reading Math To Go
Physics Engine using Verlet Integration
Simon created a physics engine in Python with Turtle. He used Verlet integration (French pronunciation: [vɛʁˈlɛ]), a numerical method for integrating Newton’s equations of motion in calculating trajectories of particles in molecular … Continue reading Physics Engine using Verlet Integration
Can a rectangle have the same perimeter and area?
Simon says he saw this question on a thumbnail of a recommended video and got curious to solve this. He built a beautiful colored graph to visualize the problem in … Continue reading Can a rectangle have the same perimeter and area?
Dissecting Polygons
Every polygon can be triangulated into exactly n-2 triangles. So you’ve got the triangulation theorem and the totally opposite theorem in the math universe, Girard’s theorem (the formula for the … Continue reading Dissecting Polygons
Bézier Editor in p5.js
Following up on his Bézier Curve in p5.js project from a couple months ago, Simon created a Bézier Editor: https://editor.p5js.org/simontiger/sketches/4Dj5iq0oh
Simon’s geometric calculator for +, -, ×, ÷ and √
To add a + b, start at a on the plus scale. Then move b units. You’ll end up at a + b.
Linear Equations in Geogebra
“This is what matrices and matrix manipulations really look like”, Simon says, making this visialization inspired by a video on Zach Star’s channel. Simon’s Geogebra project is published online at … Continue reading Linear Equations in Geogebra
Formula for e
I’ve worked out a formula for e! This came up when I was looking for an antiderivative, if n isn’t equal to 1: if n is equal to 1, then … Continue reading Formula for e
Geeks out of the box 