Pete's Blog

Fractal Penrose tiles

Every distinct set of tiles has certain features, and we are always interested in those that introduce something new or combine features in a new way. Dylan Thurston, who helped...

Fractal Penrose tiles

Every distinct set of tiles has certain features, and we are always interested in those that introduce something new or combine features in a new way. Dylan Thurston, who helped...

Parallelograms and Tetriamonds

One of the kits I used in the classroom was a set of parallelograms. We had a few kits left over, and when we sold them, we decided at the...

Parallelograms and Tetriamonds

One of the kits I used in the classroom was a set of parallelograms. We had a few kits left over, and when we sold them, we decided at the...

Nessie, the sea serpent tile

These abstract, fluid shapes first made us think of water and waves: After we chose the colors, our son-in-law suggested it looked like a sea serpent. So we named this shape Nessie....

Nessie, the sea serpent tile

These abstract, fluid shapes first made us think of water and waves: After we chose the colors, our son-in-law suggested it looked like a sea serpent. So we named this shape Nessie....

Luca Pacioli and mathematical type design

We've been taking typography classes at our nearby community college. Type design necessarily consists of line and curve, but some type faces such as Futura are explicitly geometric. When movable...

Luca Pacioli and mathematical type design

We've been taking typography classes at our nearby community college. Type design necessarily consists of line and curve, but some type faces such as Futura are explicitly geometric. When movable...

Appolonian Gaskets

The Apollonian gasket is a fractal. It begins with three circles. Each pair of circles touch each other at a single point, and the three points of contact are distinct....

Appolonian Gaskets

The Apollonian gasket is a fractal. It begins with three circles. Each pair of circles touch each other at a single point, and the three points of contact are distinct....

O'Beirne's cube

Much of what we make is two-dimensional. Hugh Montgomery, a mathematician at the University of Michigan, told us about an intriguing 3D dissection puzzle by Tom O’Beirne, a Scottish author...

O'Beirne's cube

Much of what we make is two-dimensional. Hugh Montgomery, a mathematician at the University of Michigan, told us about an intriguing 3D dissection puzzle by Tom O’Beirne, a Scottish author...