A New Era of Thought is a non-fiction work written by Charles Howard Hinton, published in 1888 and reprinted in 1900 by Swan Sonnenschein & Co. Ltd., London. A New Era of Thought is about the fourth dimension and its implications on human thinking. It influenced the work of P.D. Ouspensky, particularly his book Tertium Organum where it is frequently quoted; Scientific American writer Martin Gardner, who mentioned this book in some of his articles;[1] and Rudy Rucker's The Fourth Dimension.[2] It is prefaced by Alicia Boole and H. John Falk. A New Era of Thought is inspired by Plato's allegory of the cave and is influenced by the works of Immanuel Kant, Carl Friedrich Gauss and Nikolai Lobachevsky. The book has xvi and 230 pages.


A New Era of Thought consists of two parts. The first part is a collection of philosophical and mathematical essays on the fourth dimension. These essays are somewhat disconnected. They teach the possibility of thinking four-dimensionally and about the religious and philosophical insights thus obtainable. In the second part Hinton develops a system of coloured cubes. These cubes serve as model to get a four-dimensional perception as a basis of four-dimensional thinking. This part describes how to visualize a tessaract by looking at several 3-D cross sections of it. The system of cubic models in A New Era of Thought is a forerunner of the cubic models in Hinton's book The Fourth Dimension.

A Tessaractic Figure and its Projections.


A. 100 Names used for Plane Space.
B. 216 Names used for Cubic Space.
C. 256 Names used for Tessaractic Space.
D. List of Colours, Names and Symbols.
E. A Theorem in Four-Space.
F. Exercises on Shapes of Three Dimensions.
G. Exercises on Shapes of Four Dimensions.
H. Sections of the Tessaract.
K. Drawings of the Cubic Sides and Sections of the Tessaract (Models 1-12) with Colours and Names.


See for example the essay "Hypercubes" in his book Mathematical Carnival.

see The Fourth Dimension p. 66, 67 and 72.

External links

Hinton's writings contains some abridged passages of the first part of A New Era of Thought, from ibiblio.
A New Era of Thought (pdf) from Australian National Library
A New Era of Thought from Google Books.

Undergraduate Texts in Mathematics

Graduate Texts in Mathematics

Graduate Studies in Mathematics

Mathematics Encyclopedia



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