Peter Kagey

@peterkagey.com

278 Followers 202 Following

Maker, Educator, Mathematician | Assistant Professor at Cal Poly Pomona “My interests include music, science, justice, animals, shapes, feelings” —Lisa Simpson Creator of @oeistriangles.peterkagey.com.

Four people standing in a field with a kite that looks like a torus
A rendering of a mathematical slide
A rendering of a mathematical playground
Giza Pyramids behind a wireframe sculpture of hands during Forever is Now exhibition by Mona Hassan Abo-Abda.
Profile picture for @motivickyle.bsky.social
24 tetragonal disphenoidal "blocks" embedded with magnets which click together to form a rhombic dodecahedron.
An illustration of a non-self-intersecting maximal loop on a torus.
A yellow and red tetrahedron colliding, but the red edges do not intersect any yellow faces.
The convex hull of various scalings the vertices of a icosahedron, dodecahedron, and icosidodecahedron. Given the right parameters, we can recover all Platonic and Catalan solids with full icosahedral symmetry.
AxiDraw V3 in progress drawing the tiles
A CNC pyramid in wood
A face distorted through a picture taken through a stained-glass icosahedron.
The 187 possible shapes that can be formed from 5 of the Valencia tiles. Las 187 posibles formas que se pueden formar a partir de 5 fichas de Valencia.
The 187 ways of choosing 5 Valencia tiles so that each tile is connected to another tile along an edge.
Problem 31, which asks about ways of tiling grids with various tile designs.
Problem 17, which asks about ways of placing queens on a n x n chessboard to maximize number of available moves.
Problem 53, which asks about convexity classes of n-gons.
Problem 68, which asks about mazes on the square grid.
Problem 48 from my Open Problems Collection which asks about the number of folds it takes to fold a strip of equilateral triangles down into a single triangle.
A pencil, paper, and a partially folded piece of paper folded into a strip of equilateral triangles.
Ten USPS stamps featuring Ellsworth Kelly art
Paper model of a puzzle on the faces of a pentagonal icositetrahedron.
Four examples of 3-subsets of the faces of a deltoidal icositetrahedron.
Snub dodecahedron in the wild
Three deltoidal icositetrahedron lamps
Boundaries of dark connected components in parity triangle.
LEGO Truchet #1
A screenshot from CorrLinks