Full Idea
Cantor proved that one-dimensional space has exactly the same number of points as does two dimensions, or our familiar three-dimensional space.
Gist of Idea
Cantor proved that three dimensions have the same number of points as one dimension
Source
report of George Cantor (works [1880]) by Brian Clegg - Infinity: Quest to Think the Unthinkable Ch.14
Book Reference
Clegg,Brian: 'Infinity' [Robinson 2003], p.183