First Sentence:
The material in this article is not new, except perhaps for the final formulae in Section 3, but we have tried to present proofs of some known results in an intuitive and recreational manner.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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possible bowling games, alphamagic squares, isogonal polygons, fixed square grid, isotoxal polygons, compound tessellation, previous cumulative score, variable square grids, glide reflexion, cubelike puzzles, arithmetic triples, one integer side, poset games, step function proof, road coloring problem, annihilation games, vertical mirror lines, multiple tilings, frieze pattern, resolving word, winning components, perfect colorings, generator segments, triangulated polygon, recreational mathematics
Key Phrases - Capitalized Phrases (CAPs):
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Henry Ernest, New York, Martin Gardner, Academic Press, Sam Loyd, Recreational Math, Snowflake Curve, David Singmaster, Scientific American, Sophie Germain, Aim of Game, Mogens Esrom Larsen, Department of Mathematics, Bob Doubles, Solution of Problem, The Origin of Tree Worship, Theory Ser, American Mathematical Monthly, Eddy Curves, Gale's Nim, Mathematics Magazine, Plain Hunt, Discrete Math, Fractal Geometry of Nature, Hilbert Curve
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