Everyone learns the number one rule about triangles in high school: the angles of a triangle add up to 180 degrees. But did you know that sometimes they don't? Triangles are much more interesting than ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 94, No. 17 (Aug. 19, 1997), pp. 8936-8938 (3 pages) ...

THE principal novelties in this tract are the chapters on the orthopole (with some original propositions by the author) and on orthogonal projection (mostly after Prof. Neuberg). A pretty theorem in ...

One hypothesis about the shape of the universe is that the universe is in the space of Euclidean geometry and flat. In Euclidean geometry, it is assumed that straight lines extend everywhere, planes ...

In the vast world of geometry and art, there are figures that challenge our perception and understanding of space. One of these figures is the Penrose Triangle, also known as the Tribar. This object, ...

Geometric patterns are classics in modern design speak. But one that especially resonates these days is the triangle. Specifically, triangles laid end to end to create mesmerizing larger-scale ...