Example image of eyePlorer eyePlorer map for 'Hausdorff dimension': Extended real number line Mathematics Metric space Real number Vector space Fractal Felix Hausdorff Mathematician Abram Samoilovitch Besicovitch Euclidean space Subset Lebesgue covering dimension Cartesian coordinate system Natural number Cantor set Ball (mathematics) Benoît Mandelbrot Graph paper Minkowski–Bouligand dimension Packing dimension Infimum Hausdorff measure Countable set Natural logarithm Sierpiński curve Space-filling curve Almost surely Brownian motion How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension Great Britain South Africa Amorphous solid Glass transition Separable space Inductive dimension Topology Homeomorphism Edward Marczewski Rational number Borel measure Frostman lemma Measure (mathematics) Contraction mapping Banach fixed point theorem Hausdorff distance Stefan Banach Disjoint Dilation Isometry Line (geometry)