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