Impossible shapes (no ontology)
From Hi.gher. Space
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The impossible triangle is the projection of a 3D object with three 90 degree corners. Each corner is in a perpendicular [[cardinal]] plane and the entire object is joined up to have a [[genus]] of 1. In the projection, the shape appears as a triangle, but the shape cannot possibly exist. | The impossible triangle is the projection of a 3D object with three 90 degree corners. Each corner is in a perpendicular [[cardinal]] plane and the entire object is joined up to have a [[genus]] of 1. In the projection, the shape appears as a triangle, but the shape cannot possibly exist. | ||
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Latest revision as of 20:12, 15 June 2007
Impossible shapes are shapes which can be identified uniquely in a projection, but appear to be shapes with paradoxical properties.
Impossible triangle
The impossible triangle is the projection of a 3D object with three 90 degree corners. Each corner is in a perpendicular cardinal plane and the entire object is joined up to have a genus of 1. In the projection, the shape appears as a triangle, but the shape cannot possibly exist.
