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

Abstract

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.

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