Charles Howard Hinton was a British mathematician and writer of science fiction works titled Scientific Romances. He was interested in higher dimensions, particularly the fourth dimension. He is known for coining the word "tesseract" and for his work on methods of visualising the geometry of higher dimensions.
Hinton, c. 1890.
Frontispiece to Charles Howard Hinton's 1904 book The Fourth Dimension, illustrating the tesseract, the four-dimensional analog of the cube. Hinton's spelling varied: also known, as here, "tessaract".
In geometry, a tesseract or 4-cube is a four-dimensional hypercube, analogous to a two-dimensional square and a three-dimensional cube. Just as the perimeter of the square consists of four edges and the surface of the cube consists of six square faces, the hypersurface of the tesseract consists of eight cubical cells, meeting at right angles. The tesseract is one of the six convex regular 4-polytopes.
Image: Tesseract With Hidden Dash Lines
Image: Tesseract Without Hidden Lines