Polyhedron under Linear Transformations
Zaikun Zhang
TL;DR
This paper discusses how polyhedrons are transformed under linear functions, showing that their images and inverse images remain polyhedrons, which is fundamental in linear algebra and computational geometry.
Contribution
It establishes that both the image and inverse image of a polyhedron under a linear transformation are also polyhedrons, clarifying their geometric properties.
Findings
Images of polyhedrons under linear transformations are polyhedrons.
Inverse images of polyhedrons under linear transformations are polyhedrons.
Provides foundational insight for linear algebra and geometric computations.
Abstract
The image and the inverse image of a polyhedron under a linear transformation are polyhedrons.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry · Architecture and Computational Design