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Mathematical Education, 2016, Issue 1(77), Pages 23–43 (Mi mo540)  
Students and teachers of mathematical specialties

On Finite State Automation of 4 Stones which Makes the Round

D. V. Gusev

Moscow Engineering Physics Institute (State University)
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Abstract: A finite state automation of 4 stones is constructed to make the round of $\mathbb{Z}^k$ for a polynomial time. Some estimates of the optimal number of stones are discussed.
Keywords: The state machine, stone, crawling $k$-dimensional space, polynomial time visiting points.
Document Type: Popular science or education materials
UDC: 519.712.5
Language: Russian
Citation: D. V. Gusev, “On Finite State Automation of 4 Stones which Makes the Round”, Math. Ed., 2016, no. 1(77), 23–43
Citation in format AMSBIB
\Bibitem{Gus16}
\by D.~V.~Gusev
\paper On Finite State Automation of 4 Stones which Makes the
Round
\jour Math. Ed.
\yr 2016
\issue 1(77)
\pages 23--43
\mathnet{http://mi.mathnet.ru/mo540}
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