Manhattan Distance or Taxicab Geometry
Taxicab geometry, also known as Manhattan geometry, defines distance as the sum of the absolute differences of Cartesian coordinates. This contrasts with Euclidean geometry, where distance is calculated using the straight line between two points. The concept has historical roots in regression analysis and non-Euclidean geometry, with formalization attributed to mathematicians like Hermann Minkowski.
- ▪In taxicab geometry, the distance between two points is the sum of the absolute differences of their coordinates.
- ▪The term 'taxicab geometry' was popularized by Karl Menger in 1952.
- ▪This geometry has applications in regression analysis and is often referred to as LASSO.
Opening excerpt (first ~120 words) tap to expand
Toggle the table of contents Taxicab geometry 25 languages AfrikaansالعربيةCatalàČeštinaDeutschEspañolفارسیFrançaisעבריתBahasa IndonesiaItaliano日本語한국어മലയാളംNederlandsPortuguêsRomânăРусскийSimple EnglishSvenskaไทยУкраїнськаTiếng Việt粵語中文 Edit links ArticleTalk English ReadEditView history Tools Tools move to sidebar hide Actions Read Edit View history General What links hereRelated changesUpload filePermanent linkPage informationCite this pageGet shortened URL Print/export Download as PDFPrintable version In other projects Wikidata item Appearance move to sidebar hide From Wikipedia, the free encyclopedia Type of metric geometry In taxicab geometry, the lengths of the red, blue, green, and yellow paths all equal 12, the taxicab distance between the opposite corners, and all four paths are…
Excerpt limited to ~120 words for fair-use compliance. The full article is at Wikipedia.
