A charmingly awful presentation style b
A charmingly awful presentation style but with some amazing moments. Look at the Moire patterns from 26:35!
Originally shared by Wayne RadinskyPenrose tiles explained by Roger Penrose. You can only have 2-fold, 3-fold, 4-fold and 6-fold rotational symmetries. Those are the only ones possible, and you can prove it mathematically. But, you can make regular patterns with other symmetries as long as you don't insist the pattern repeat exactly. You can have 5-fold (pentagonal) patterns and 12-fold patterns and others.
These non-periodic arrangements can be composed from smaller puzzle-pieces with proper notches and knobs to fit together. Pentagonal patterns can be made with "rhombus" pieces or "kites and darts" pieces.
The tilings are now used in architecture in a variety of places.
These non-periodic arrangements can be composed from smaller puzzle-pieces with proper notches and knobs to fit together. Pentagonal patterns can be made with "rhombus" pieces or "kites and darts" pieces.
The tilings are now used in architecture in a variety of places.
Sir Roger Penrose provides a unique insight into the "forbidden symmetry" of his famous penrose tiles and the use of non-repeating patterns in deisgn and arc...
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