Complement to the results of F. Sharov
Pavel Ryabov
TL;DR
This paper provides a new proof of a theorem by F. Sharov concerning the tiling of rectangles with similar rectangles having quadratic irrational side ratios, along with related results.
Contribution
It offers a novel proof of Sharov's theorem and explores related results in the tiling of rectangles with similar rectangles.
Findings
New proof of Sharov's theorem on rectangle tiling.
Identification of conditions for tiling with similar rectangles.
Extension of related results in geometric tiling theory.
Abstract
Question when rectangle can be tiled with similar copies of rectangles witch quetient of sides quadratic irrationalities. New proof of one part F. Sharov's theorem. Other close result.
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Taxonomy
TopicsFusion and Plasma Physics Studies · Geological Studies and Exploration