Squares in Squares
The article discusses various packings of unit squares within the smallest known square. It highlights the mathematical proofs and discoveries related to the side lengths of these squares. Additionally, it provides information on how to interact with the SVG representations of these packings.
- ▪The smallest known square can contain multiple unit squares, with various configurations documented.
- ▪Mathematical proofs for the side lengths of these squares have been established by several researchers over the years.
- ▪Users can interact with the SVG representations to explore different square packings.
Opening excerpt (first ~120 words) tap to expand
body { overflow-x: hidden; font-family: serif; } embed { pointer-events: none; } .svg-table { border-spacing: 1.333em 0; } .container { display: flex; flex-wrap: wrap; } .box { width: 19.333em; margin: 1.47em; } .svg-box { height: 9.6667em; align: center; margin-bottom: 0.2em; } .katex { font-size: 1em; } .toggle { cursor: pointer; } .frame1 {display: inline;} .frame1.toggled {display: none; } .frames {display: none; } .frames.toggled {display: inline;} #svgEditToggle { font-size: medium; } Squares in Squares SVG, high-precision, and other updates by David Ellsworth based on original compiled by Erich Friedman The following pictures show $n$ unit squares packed inside the smallest known square (of side length $s$).
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Excerpt limited to ~120 words for fair-use compliance. The full article is at Myphotos.
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