The “ΦTOP”: A Golden Ellipsoid

Kenneth Brecher
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 371–374 Short Papers


The golden ratio can be incorporated into an ellipse. Rotated around its major axis, the resulting 3-dimensional figure can be called a “golden ellipsoid”. This object can act as a new kind of spinning top I call the “ΦTOP”. The golden ellipsoid can be made into elegant sculptures as well. It also demonstrates an unusual visual illusion.