clifford_a-_pickover_surfing_through_hyperspacebookfi-org

214 appendix!
checkers-like pegboard game in 72-space. The goal of the game is to advance
a peg as far as possible from an initial configuration of pegs. Using an argument
based on the golden mean, the authors demonstrate bounds for how
far a peg can travel as well as how many pegs are needed to achieve a particular
goal. Finally, they view the game as automata moving about so as to
achieve a collective goal.)
13. Burton, R. P. (1989) Raster algorithms for Cartesian hyperspace graphics.
Journal of Imaging Technology. 15(2): 89—95. (The authors design algorithms
for Cartesian hyperspace graphics. The hidden volume algorithm
clips and performs volume removal in four dimensions. The shadow algorithm
constructs shadow hypervolumes that it intersects with illuminated
hypersurfaces. The shading algorithm performs solid shading on hyperobjects.
The raytracing algorithm introduces a viewing device model that projects
from 4-D space to 2-D space.)
14. Linde, A. and Zelnikov, M. (1988) Inflationary universe with fluctuating
dimension. Physics. Letters B (Netherlands) 215: 59-63. (The authors argue
that in an eternal chaotic inflationary universe, the number of uncompactified
dimensions can change locally. As a result, the universe divides into an
exponentially large number of independent inflationary domains [miniuniverses]
of different dimension.)
15. Bertaut, E. F. (1988) Euler's indicatrix and crystallographic transitive symmetry
operations in the hyperspaces E(n). Comptes Rendus de I'Academie des
Sciences, Serie II (Mecanique, Physique, Chimie, Sciences de I'Univers, Sciences
de la Terre). 307(10): 1141-46. (The author uses elementary number
theory in this article on crystallographic symmetry operations.)
16. Finkelstein, D. (1986) Hyperspin and hyperspace. Physical Review Letters.
56(15): 1532-33. (A spinorial time-space G(N] that supports a Kaluza-Klein
theory of gauge potentials can be made from TV-component spinors of
SL(N, C) in the same way that the Minkowskian manifold G(2) is made from
two-component spinors of SL(2,C). Also discusses photons and gravitons.)
17. Deser, S., Jackiw, R., and 'tHofft, G. (1984) Three-dimensional Einstein
gravity: dynamics of flat space. Annals of Physics. 152: 220-35. (In three
spacetime dimensions, the Einstein equations imply that source-free
regions are flat.)
18. Mei-chi, N., Burton, R. P., and Campbell, D. M. (1984) A shadow algorithm
for hyperspace: calculating shadows in hyperdimensional scenes.
Computer Graphics World. 7(7): 51-59. (The authors develop a shadow
algorithm for hyperspace while creating computer graphics techniques for