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pro vyhledávání: '"Bell, George I."'
Autor:
Bell, George I.
Publikováno v:
Recreational Mathematics Magazine, Number 7, pp. 5-19, 2017
Peg solitaire is an old puzzle with a 300 year history. We consider two ways a computer can be utilized to find interesting peg solitaire puzzles. It is common for a peg solitaire puzzle to begin from a symmetric board position, we have computed solv
Externí odkaz:
http://arxiv.org/abs/1608.01609
Autor:
Bell, George I., Pogorelov, Ilya, Schwartz, Brian T., Bruhwiler, David L., Litvinenko, Vladimir, Wang, Gang, Hao, Yue
Increasing the luminosity of relativistic hadron beams is critical for the advancement of nuclear physics. Coherent electron cooling (CEC) promises to cool such beams significantly faster than alternative methods. We present simulations of 40 GeV/nuc
Externí odkaz:
http://arxiv.org/abs/1404.2320
Autor:
Bell, George I., Abell, Dan T.
Fixed-field Alternating Gradient (FFAG) accelerators offer the potential of high-quality, moderate energy ion beams at low cost. Modeling of these structures is challenging with conventional beam tracking codes because of the large radial excursions
Externí odkaz:
http://arxiv.org/abs/1202.0805
Autor:
Bell, George I.
We consider the one-person game of peg solitaire played on a computer. Two popular board shapes are the 33-hole cross-shaped board, and the 15-hole triangle board---we use them as examples throughout. The basic game begins from a full board with one
Externí odkaz:
http://arxiv.org/abs/0903.3696
Autor:
Bell, George I.
Publikováno v:
INTEGERS: Electronic Journal of Combinatorial Number Theory 9 (2009) #G01
In 1979, David Fabian found a complete game of two-person Chinese Checkers in 30 moves (15 by each player) [Martin Gardner, Penrose Tiles to Trapdoor Ciphers, MAA, 1997]. This solution requires that the two players cooperate to generate a win as quic
Externí odkaz:
http://arxiv.org/abs/0803.1245
Autor:
Bell, George I.
Septoku is a Sudoku variant invented by Bruce Oberg, played on a hexagonal grid of 37 cells. We show that up to rotations, reflections, and symbol permutations, there are only six valid Septoku boards. In order to have a unique solution, we show that
Externí odkaz:
http://arxiv.org/abs/0801.3697
Autor:
Bell, George I.
Publikováno v:
The Games and Puzzles Journal, Issue 41, September-October 2005 http://gpj.connectfree.co.uk/gpjw.htm
We investigate the game of peg solitaire on different board shapes, and find those of diamond or rhombus shape have interesting properties. When one peg captures many pegs consecutively, this is called a sweep. Rhombus boards of side 6 have the prope
Externí odkaz:
http://arxiv.org/abs/0711.2749
Autor:
Bell, George I.
Publikováno v:
The Games and Puzzles Journal, Issue 36, November-December 2004 http://gpj.connectfree.co.uk/gpjr.htm
Triangular peg solitaire is a well-known one-person game or puzzle. When one peg captures many pegs consecutively, this is called a sweep. We investigate whether the game can end in a dramatic fashion, with one peg sweeping all remaining pegs off the
Externí odkaz:
http://arxiv.org/abs/0711.0486
Autor:
Bell, George I.
Publikováno v:
Journal of Integer Sequences, Vol. 11 (2008), Article 08.4.8
We consider the one-person game of peg solitaire on a triangular board of arbitrary size. The basic game begins from a full board with one peg missing and finishes with one peg at a specified board location. We develop necessary and sufficient condit
Externí odkaz:
http://arxiv.org/abs/math/0703865
Publikováno v:
INTEGERS: Electronic Journal of Combinatorial Number Theory 7 (2007) #G07
The solitaire army is a one-person peg jumping game where a player attempts to advance an "army" of pegs as far as possible into empty territory. The game was introduced by John Conway and is also known as "Conway's Soldiers". We consider various gen
Externí odkaz:
http://arxiv.org/abs/math/0612612