Set of 76 green and 124 brown chicken shaped pieces of cardboard

Made:
1974-1980 in United Kingdom
designer:
Roger Penrose
Set of 76 green (small) and 124 brown (large) chicken shaped Set of 76 green (small) and 124 brown (large) chicken shaped Set of 76 green (small) and 124 brown (large) chicken shaped

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Creative Commons LicenseThis image is released under a CC BY-NC-SA 4.0 Licence

Buy this image as a print 

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License this image for commercial use at Science and Society Picture Library

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Creative Commons LicenseThis image is released under a CC BY-NC-SA 4.0 Licence

Buy this image as a print 

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License this image for commercial use at Science and Society Picture Library

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Set of 76 green (small) and 124 brown (large) chicken shaped
Science Museum Group Collection
© The Board of Trustees of the Science Museum

Set of 76 green (small) and 124 brown (large) chicken shaped
Science Museum Group Collection
© The Board of Trustees of the Science Museum

Set of 76 green (small) and 124 brown (large) chicken shaped
Science Museum Group Collection
© The Board of Trustees of the Science Museum

Seventy six and one hundred and twenty four cardboard pieces shaped like and illustrated with a chicken, and an oblong card illustrated with a bird on one side and an amorphous shape on the other, designed by Professor Roger Penrose, United Kingdom, 1974-1980. The cardboard pieces tile the plane non-periodically.

While sitting in a hospital waiting room visiting a sick friend, Roger Penrose began ‘doodling’. He came up with two shapes – ‘kites’ and ‘darts’ – which could tile a plane, but non-periodically. Martin Gardner, a leading populariser of recreational maths, described this tiling, which became known as ‘Penrose’, in 1977. Starting with the division of a pentagon, Penrose ends up with two sorts of ‘chickens’. It has since been pointed out that some Islamic patterns contain this non-periodic tiling. About ten years after Penrose’s work it was discovered that metallic alloys had a similar ‘quasi-crystalline’ structure

Details

Category:
Mathematics
Object Number:
1981-884
Materials:
cardboard
Measurements:
parts: 300 mm x 500 mm x 1 mm,
overall (as stored in a bag): 110 mm x 230 mm x 120 mm, .266kg
type:
mathematical model and model - representation
credit:
Prof. Roger Penrose