If we now consider Model 1 to represent a block, five cubes each way,
built up of inch cubes, and colour it in the same way, that is, with
similar colours for the corner-cubes, edge-cubes, face-cubes, and
interior-cubes, we obtain what is represented in the diagram (Fig. 8).
Here we have nine Dark-blue cubes called Mœna; that is, Mœna denotes the
nine Dark-blue cubes, forming a layer on the front of the cube, and
filling up the whole front except the edges and points. Cuspis denotes
three Orange, Dos three Blue, and Arctos three Brown cubes.
Now, the block of cubes can be similarly increased to any size we
please. The corners will always consist of single cubes; that is, Corvus
will remain a single cubic inch, even though the block be a hundred
inches each way. Cuspis, in that case, will be 98 inches long, and
consist of a row of 98 cubes; Arctos, also, will be a long thin line of
cubes standing up. Mœna will be a thin layer of cubes almost covering
the whole front of the block; the number of them will be 98 times 98.
Syce will be a similar square layer of cubes on the ground, so also
Mel, Alvus, Proes, and Murex in their respective places. Mala, the
interior of the cube, will consist of 98 times 98 times 98 inch cubes.
[Illustration: Fig. 9]
Now, if we continued in this manner till we had a very large block of
thousands of cubes in each side Corvus would, in comparison to the whole
block, be a minute point of a cubic shape, and Cuspis would be a mere
line of minute cubes, which would have length, but very small depth or
height. Next, if we suppose this much sub-divided block to be reduced in
size till it becomes one measuring an inch each way, the cubes of which
it consists must each of them become extremely minute, and the corner
cubes and line cubes would be scarcely discernible. But the cubes on the
faces would be just as visible as before. For instance, the cubes
composing Mœna would stretch out on the face of the cube so as to fill
it up. They would form a layer of extreme thinness, but would cover the
face of the cube (all of it except the minute lines and points). Thus we
may use the words Corvus and Nugæ, etc., to denote the corner-points of
the cube, the words Mœna, Syce, Mel, Alvus, Proes, Murex, to denote the
faces. It must be remembered that these faces have a thickness, but it
is extremely minute compared with the cube. Mala would denote all the
cubes of the interior except those, which compose the faces, edges, and
points. Thus, Mala would practically mean the whole cube except the
colouring on it. And it is in this sense that these words will be used.
In the models, the Gold point is intended to be a Corvus, only it is
made large to be visible; so too the Orange line is meant for Cuspis,
but magnified for the same reason. Finally, the 27 names of cubes, with
which we began, come to be the names of the points, lines, and faces of
a cube, as shown in the diagram (Fig. 9). With these names it is easy
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