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A lecture on 5-fold symmetry and tilings of the plane

	Author(s):	Penrose R.
	Collection:
	Publisher:
	Year:	2002
	Language:	English
	Pages:	5 pages
	Size:	382 KB
	Extension:	PDF

[tab] [content title="Description"]A Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and aperiodic means that shifting any tiling with these shapes by any finite distance, without rotation, cannot produce the same tiling. However, despite their lack of translational symmetry, Penrose tilings may have both reflection symmetry and fivefold rotational symmetry. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated them in the 1970s. [/content] [content title="Content"] [/content] [content title="About the author"] Sir Roger Penrose OM FRS HonFInstP (born 8 August 1931)[1] is an English mathematician, mathematical physicist, philosopher of science and Nobel Laureate in Physics.[2] He is Emeritus Rouse Ball Professor of Mathematics in the University of Oxford, an emeritus fellow of Wadham College, Oxford, and an honorary fellow of St John's College, Cambridge and University College London.[3][4][5] [/content] [/tab]

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