Desargues Configuration as a Gnomonic Projection

Year: 2018 Authors: Taneli Luotoniemi

Core claim

Gnomonic projection of expanded regular polytopes yields projective configurations that realize Desargues-type perspectivity theorems across dimensions.

Topics

projective geometry, gnomonic projection, higher-dimensional polytopes, Desargues theorem

Domains

projective geometry, incidence geometry, polytope geometry, higher-dimensional geometry, mathematical visualization, geometric illustration, spatial imagination

Methods

gnomonic projection, polytope expansion, incidence analysis, dimensional generalization

Media

illustrations, 4D and 3D geometric figures, configuration diagrams

Source status

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