A Model of a Finite Projective Plane with 7 Points plus the Associated Affine Plane with 4 Points ('Shoebox Geometry')

Hans Wolfgang Valet

Abstract


The representation of a finite 2-dimensional projective geometry with seven points PG(2,2) as a Fano plane is not didactically suitable for the introduction of Cartesian coordinates. A model based on a truncated cube in which straight lines are represented by triangles is proposed. This hexagonal approach also facilitates the transition to an associated Cartesian affine plane with four points.

This text was originally written for the international symposium "Problem Posing for mathematically gifted childrens" of the Problem Solving Working Group.


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Copyright (c) 2022 Hans Wolfgang Valet

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Dieses Werk steht unter der Lizenz Creative Commons Namensnennung - Weitergabe unter gleichen Bedingungen 4.0 International.

ISSN: 0722-7817 (Print), 2512-9155 (Online)

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