Hinton - The Fourth Dimension.pdf

APPENDIX I
THE MODELS
IN Chapter XI. a description has been given which will
enable any one to make a set of models illustrative of the
tesseract and its properties. The set here supposed to be
employed consists of:—
1. Three sets of twenty-seven cubes each.
2. Twenty-seven slabs.
3. Twelve cubes with points, lines, faces, distinguished
by colours, which will be called the catalogue cubes.
The preparation of the twelve catalogue cubes involves
the expenditure of a considerable amount of time. It is
advantageous to use them, but they can be replaced by
the drawing of the views of the tesseract or by a reference
to figs. 103, 104, 105, 106 of the text.
The slabs are coloured like the twenty-seven cubes of
the first cubic block in fig. 101, the one with red,
white, yellow axes.
The colours of the three sets of twenty-seven cubes are
those of the cubes shown in fig. 101.
The slabs are used to form the representation of a cube
in a plane, and can well be dispensed with by any one
who is accustomed to deal with solid figures. But the
whole theory depends on a careful observation of how
the cube would be represented by these slabs.
In the first step, that of forming a clear idea how a
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