Exploring the Projective Plane via Variations on the Faceted Octahedron

Frank Gould and S. Louise Gould
Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture (2012)
Pages 507–508 Short Papers


We explore the topology of the projective plane and of its immersions in 3-space via two models based on the faceted octahedron. This is a symmetrical immersion closely connected to a smooth immersion discovered by Werner Boy.