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id ga0131
authors Riznyk, V.V.
year 2001
title Perfect Distribution Phenomenon and the Origin of the Spacetime Harmony
source International Conference on Generative Art
summary Perfect Distribution Phenomenon (PDP), namely one- (t=1) and t-dimensional (t>1) Ideal Ring Relationships (t-D IRR)s are cyclic sequences of integers which form perfect partitions of a finite interval [1,s] of integers. The sums of connected sub-sequences of an IRR enumerate the set of integers [1,s] exactly R-times. Example: The 1-D IRR {1,3,2,7} containing four elements (Fig.1) allows an enumeration of all numbers 1=1, 2=2, 3=3, 4=1+3, 5=3+2, 6=1+3+2, 7=7, ... 13=1+3+2+7 exactly once (R=1).
series other
email rvv@polynet.lviv.ua
more http://www.generativeart.com/
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