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 tdimensional (t>1) Ideal Ring Relationships (tD IRR)s are cyclic sequences of integers which form perfect partitions of a finite interval [1,s] of integers. The sums of connected subsequences of an IRR enumerate the set of integers [1,s] exactly Rtimes. Example: The 1D 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/ 
full text 
file.pdf (91,718 bytes) 
references 
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last changed 
2003/08/07 15:25 
