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Increasing Asquareness

Chuck Cusack's avatar Chuck Cusack

Increasing Asquareness is a golden rectangle made of squares whose sizes are the first 13 numbers of the Fibonacci sequence and constructed from approximately 68,000 Lego bricks. Most of the squares are a variation of a mathematical structure called a Latin square, a grid in which every cell is a certain color (or shape or number) and every row and every column contains each color exactly once. This is a lot like a Sudoku puzzle. In fact, the bottom left portion is a Sudoku made from smaller Latin squares. Some of the squares represent two or more Latin squares such that when two of them are superimposed on top of each other, every possible ordered pair of colors appears exactly once. There are also fractals present in some of the squares. One square contains an algorithm that computes the numbers in the Fibonacci sequence. There is much more to the structure than can be described here and the viewer is invited to discover more patterns for themselves. Look closer. See deeper.

Entry Details
  • Art form: 3-D
  • Depth: 4 feet
  • Medium: Lego bricks
  • Width: 10 feet 1 inch
  • Year created: 2016
  • Height: 6 feet 8 inches