1 / 7

Pentominoes in Math and Art

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.

rhea-dodson
Download Presentation

Pentominoes in Math and Art

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Pentominoes in Math and Art Fall 2012 Cheryl McAllister

  2. 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.

  3. 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

  4. Mathematical Concepts that can be explored using polyominoes • Area • Perimeter • Symmetry • Tessellations • Folding nets • Problem solving

  5. Pentomino Solution as Arthttp://pentomino.classy.be/meninge.html

  6. How are Pentominoes used in art? • Guenter Albrecht-Buehler

  7. 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

More Related