Examples of the 14 known types of convex pentagon tilings. Four of the types were found by a homemaker with no education beyond high school. ( http://en.wikipedia.org/wiki/Marjorie_Rice ) Can you find any more?
Decorative Metal Tiles by Karim Rashid from Alloy Design
The 15th convex monohedral pentagonal tiling, discovered in 2015. P5-type15-chiral isohedral coloring - . Monohedral convex pentagonal tiling, 3-isohedrally colored, by permission from www.jaapsch.net. Tomruen - Own work
Previously, mathematicians came up with the monohedral disc tiling, a pizza slicing method that yields 12 identically shaped portions. Now Joel Haddley and Stephen Worsley tweaked the technique to come up with the perfect way to slice pizza.
Tessellation: The Geometry of Tiles, Honeycombs and M.C. Escher