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

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

Connections Project in Java (Simon’s own code)

Simon built another project of his own design. His program allows to draw intricate patterns that resemble Islamic tiling, the building block being a polygon of your choice. First, you … Continue reading Connections Project in Java (Simon’s own code)