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Charles Howard Hinton develops an approach to higher-dimensional space that combines philosophical speculation with practical exercises using cubes and other models. He asks how habits of perception might limit understanding and how deliberate spatial training could change the way a person thinks about the world.
The first part considers knowledge, consciousness and the relation between ordinary experience and a higher space. The second turns to systematic constructions and representations of four-dimensional forms, followed by exercises and appendices. Alicia Boole and H. John Falk explain their editorial work in the preface. This original edition retains the diagrams, model instructions and spatial naming systems that accompany the argument.