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 |
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more |
http://www.generativeart.com/ |
full text |
file.pdf (91,718 bytes) |
references |
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last changed |
2003/08/07 17:25 |
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