Meanings
plural Minkowski-Bouligand dimensions
- geometryA way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer.
Synonyms: box-counting dimension, Minkowski dimension
Synonyms & antonyms
nounA way of determining the fractal dimension of a set in a Euclidean space, or more generally in a metric space. It may be visualized by imagining the fractal lying on an evenly-spaced grid and counting how many boxes are required to cover the set. The dimension is then calculated by seeing how this number changes as the grid is made finer.
Origin
Named after the Polish mathematician Hermann Minkowski and the French mathematician Georges Bouligand.
Full word history & related roots →Cite this entry
Minkowski-Bouligand dimension. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Minkowski-Bouligand%20dimension
“Minkowski-Bouligand dimension.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Minkowski-Bouligand%20dimension. Accessed November 5, 2026.
WatkinsX Dictionary, s.v. “Minkowski-Bouligand dimension,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Minkowski-Bouligand%20dimension.
Source: Minkowski-Bouligand dimension on Wiktionary, CC BY-SA 4.0.