On comparing the two lists of the Mala view and Vesper view, it will be
seen that the cubes presented in the Vesper view are new sides of the
tessaract, and that the arrangement of them is different from that in
the Mala view. (This is analogous to the changes in the slabs from the
Moena to Alvus view of the cubic Block.) Of course, the Vespers of all
these tessaracts are not visible at once in our space, any more than are
the Moenas of all three walls of a cubic Block to a plane-being. But if
the tessaractic Set be supposed to move through space in the unknown
direction at the rate of an inch a minute, the Second Block will present
its Vespers after the First Block has lasted a minute. The relative
position of the Mala Block and the Vesper Block may be represented in
our space as in the diagram, Fig. 20. But it must be distinctly
remembered that this arrangement is quite conventional, no more real
than a plane-being’s symbolization of the Moena Wall and the Alvus Wall
of the cubic Block by the arrangement of their Moena and Alvus faces,
with the solidity omitted, along one of his known directions.
The Vespers of the First and Second Blocks cannot be in our space
simultaneously, any more than the Moenas of all three walls in plane
space. To render their simultaneous presence possible, the cubic or
tessaractic Block or Set must be broken up, and its parts no longer
retain their relations. This fact is of supreme importance in
considering higher space. Endless fallacies creep in as soon as it is
forgotten that the cubes are merely representative as the slabs were,
and the positions in our space merely conventional and symbolical, like
those of the slabs along the plane. And these fallacies are so much
fostered by again symbolizing the cubic symbols and their symbolical
positions in perspective drawings or diagrams, that the reader should
surrender all hope of learning space from this book or the drawings
alone, and work every thought out with the cubes themselves.
If we want to see what each individual cube of the tessaractic faces
presented to us in the last example is like, we have only to consider
each of the Malas similar in its parts to Model 1, and each of the
Vespers to Model 5. And it must always be remembered that the cubes,
though used to represent both Mala and Vesper faces of the tessaract,
mean as great a difference as the slabs used for the Moena and Alvus
faces of the cube.
If the tessaractic Set move Kata through our space, when the Vesper
faces are presented to us, we see the following parts of the tessaract
Urna (and, therefore, also the same parts of the other tessaracts):
(1) Urna Vesper, which is Model 5.
(2) A parallel section between Urna Vesper and Urna Idus, which is Model
11.
(3) Urna Idus, which is Model 6.
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