clifford_a-_pickover_surfing_through_hyperspacebookfi-org

appendix f
smorgasbord for computer junkies
The intersection of a 4-D object with a 3-space does not need to be
connected, just like a continuous coral formation can appear as multiple
disjoint islands where they protrude above the ocean's surface. A
collection of creatures such as a hive of bees may be different parts of a
single 4-D animal. Similarly, all people may be part of a single 4-D
entity. The aging process can be represented as the slow motion of an
intersecting hyperplane through a 4-D entity.
—Daniel Green, Superliminal Software
The presence of God is not an upper story of the one cosmic space,
but a separate, all-embracing space by itself, so that the polar and the
suprapolar worlds do not stand with respect to one another in the
same relation as two floors of the same house but in the relation of two
spaces.
—Karl Heim, Christian Faith and Natural Science
Code 1. Hyper-hypercube Program
The following is C computer code I wrote to compute the attractive models of
higher-dimensional cubes for Figures 4.12 to 4.17. Cubes of dimension N may
be generalized to higher dimensions N + 1 by translating the TV-cube and interconnecting
the appropriate vertices—just as a graphical, representation of a cube
can be generated by drawing two squares and interconnecting the vertices. At
higher dimensions, the cubes become so complex that they may be difficult to
graphically represent. In the program, n = 4 generates a hypercube; n - 5 generates
a hyperhypercube, and so on. The idea for this approach comes from a
BASIC program written by Jonathan Bowen based on a Fortran program by C.
S. Kuta. [See, for example, "Hypercubes" in Practical Computing, 5(4): 97-99,
April, 1982.] For more details, see "On the Trail of the Tesseract," a section in
Chapter 4.
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