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Pentominoes in Math and Art. Fall 2012 Cheryl McAllister. Polyominoes – general information. Word coined by Solomon W. Golomb in 1954 Definition – a polyomino is the joining of congruent squares at a side, vertex to vertex.
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Pentominoes in Math and Art Fall 2012 Cheryl McAllister
Polyominoes – general information • Word coined by Solomon W. Golomb in 1954 • Definition – a polyomino is the joining of congruent squares at a side, vertex to vertex. • The domino, the joining of two squares, is the most common of the polyominoes.
Types of Polyominoes • Monomino – 1 square – 1 form • Domino – 2 squares – 1 form • Triomino – 3 squares - 2 forms • Tetromino – 4 squares – 5 forms • Pentomino – 5 squares – 12 forms • Hexomino – 6 squares – 35 forms
Mathematical Concepts that can be explored using polyominoes • Area • Perimeter • Symmetry • Tessellations • Folding nets • Problem solving
Pentomino Solution as Arthttp://pentomino.classy.be/meninge.html
How are Pentominoes used in art? • Guenter Albrecht-Buehler
Polyominoes can be a puzzle or a game • Have you played Tetras? • Determine what the 12 different pentomino shapes are. • Use all 12 shapes to make a rectangle – 3719 solutions • Blokus – a board game using Polyominoes • 2001 A Space Odessey
