Dividing the Cube into Six, Three and Other Fractions
A page of cube diagrams whose inscribed solids are labelled 1/6, 1/3, 1/4 and 1/2 of the whole
The sheet is filled with cubes drawn in perspective, each crossed by diagonals that mark off an inscribed pyramid or prism. Short captions identify these solids as fractions of the cube: 1/6, 1/3, 1/4 and 1/2. A key note states that the four interior diameters of a cube divide it into six equal and similar pyramids. Together the diagrams form a visual catalogue of how the cube can be cut into simple fractional parts.
On this page
Four interior diameters divide the cube into six pyramids
The 4 interior diameters of the cube divide it into 6 equal and similar pyramids. Each such pyramid a b c d is therefore one-sixth of its cube, as marked beside the upper figures.
Solids labelled as fractions of the cube
The inscribed solids are read off as simple fractions of the cube. The captions give a b c d e as 1/3, a b c d e f as 1/4, and a b c d e f as 1/2 of the cube for the successive figures down the page.