If we suppose the plane being to have a general idea of the existence
of a higher solid—our solid—we must next trace out in detail the
method, the discipline, by which he would acquire a working familiarity
with our space existence. The process begins with an adequate
realisation of a simple solid figure. For this purpose we will suppose
eight cubes forming a larger cube, and first we will suppose each cube
to be coloured throughout uniformly. Let the cubes in fig. 91 be the
eight making a larger cube.
[Illustration: Fig. 91.]
Now, although each cube is supposed to be coloured entirely through
with the colour, the name of which is written on it, still we can
speak of the faces, edges, and corners of each cube as if the colour
scheme we have investigated held for it. Thus, on the null cube we can
speak of a null point, a red line, a white line, a pink face, and so
on. These colour designations are shown on No. 1 of the views of the
tesseract in the plate. Here these colour names are used simply in
their geometrical significance. They denote what the particular line,
etc., referred to would have as its colour, if in reference to the
particular cube the colour scheme described previously were carried out.
If such a block of cubes were put against the plane and then passed
through it from right to left, at the rate of an inch a minute, each
cube being an inch each way, the plane being would have the following
appearances:—
First of all, four squares null, yellow, red, orange, lasting each a
minute; and secondly, taking the exact places of these four squares,
four others, coloured white, light yellow, pink, ochre. Thus, to make
a catalogue of the solid body, he would have to put side by side in
his world two sets of four squares each, as in fig. 92. The first are
supposed to last a minute, and then the others to come in in place of
them, and also last a minute.
[Illustration: Fig. 92.]
In speaking of them he would have to denote what part of the respective
cube each square represents. Thus, at the beginning he would have null
cube orange face, and after the motion had begun he would have null
cube ochre section. As he could get the same coloured section whichever
way the cube passed through, it would be best for him to call this
section white section, meaning that it is transverse to the white axis.
These colour-names, of course, are merely used as names, and do not
imply in this case that the object is really coloured. Finally, after
a minute, as the first cube was passing beyond his plane he would have
null cube orange face again.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account