From:

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I got my "Speculations on the Fourth Dimension, Selected Writings of

Charles H. Hinton", Dover, 1980, back. It doesn't reprint Hinton's

description of his cubes, but Rudolf v.B.Rucker, in the introduction

describes something more of them:

"The second part of "A New Era of Thought" consists of a description

of how to visualize a tesseract by looking at various 3-D cross sections

of it. On is to construct a set of 12 cubes, coloring the faces, edges

and corners all manner of different colors. (Eighty-one different colors

are used, and some rather unfamiliar ones are resorted to. ...)Eight of

these cubes make up the boundaries of the hypercube, and the four others

are cross sections taken between pairs of opposite cubes. The way in

which all the cubes fit together is really explained rather well, if one

has the will to endure not only 81 colors, but the 81 Latin names which

Hinton assigns to the parts of the tesseract.

"In addition to the set of 12 large cubes, there was also to be a set of 81

small monochrome cubes, each representing a part of the tesseract. By

moving theese little cubes about one could better comprehend the fact that

rotation through the fourth dimension corresponds to mirror image reflection

in 3-D space."

In Hinton's book "The Fourth Dimension", published n 1904, he has a

streamlined version of the tesseract section models. "There were actually

three parts to the complete set of tesseract models. There was a set of 27

"slabs," actually cardboard squares; a set of 81 one-inch monochrome cubes,

each a different color; and a set of 12 multicolored "catalogue cubes,"

which were depicted in a color plate bound into "The Fourth Dimension". When

the book came out, one could buy a set consisting of the 27 slabs and the

81 little cubes for 16 shillings, or a set consisting of the 12 catalogue

cubes for 21 shillings."

If anyone on this list can find a copy of "The Fourth Dimension", I, for

one, would like to buy it. I wonder if any of the models are around anywhere?

--- Stan

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