## Mathematical Gems, Issue 2A collection of interesting problems in the fields of number theory, combinatorics and geometry |

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1-factor Accordingly Amer attainable score beads BICENTRIC POLYGONS black edges bricks checkerboard circumcenter circumcircle collinear column complete graph composite solutions configuration congruent Consequently consider contains contradiction copies deleted diagonal digits distance can occur divides dominoes eight-point circle endpoints equal exceed Figure gives graph G harmonic bricks harmonic series hexominoes implying incircle integer intersection isosceles 6-point key multiple Klarner L-tromino lattice point layers least line ax Math monomino Monthly n-gon natural numbers necklaces number of vertices obtain occupy odd block odd components odd number odd prime pack the line packable pair Paul Erdös perimeter PIP3 plane polyominoes prime number problem proof proved puzzle quadrilateral rectangle red edges relatively prime result segments sides Similarly Slothouber-Graatsma Puzzle spheres subset Suppose tangent tetrahedron tetrominoes theorem total number tromino unattainable unit cubes vertex Wilson's theorem yields