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Ryan Heyworth
Lives in UK
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Ryan Heyworth

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Stan manages to get a copy of his late wife's voice message, 14 years after the last time he heard her voice.
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Ryan Heyworth

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Hubble Deep Field as seen from Earth
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Free open source design package for Chrome
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The 1883 eruption on Krakatoa produced the loudest sound ever known, it reverberated around the globe 7 times before diminishing. It could be heard 4,000 miles away, and most people within 100 miles suffered permanent hearing loss. Bare all that in mind while watching the recent 'baby' eruption...
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I think a shockwave would travel slower than a soundwave. http://volcano.oregonstate.edu/historical-eruption-sounds
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Ryan Heyworth

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Wow - this got me in the feels #frisson  
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Minecraft best seed (pocket)
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Eagle tackles a dear.
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Damn! Living up to their raptor name!
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Coyotes are like large wild Alsatians... GULP!
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Escher and the Droste effect

Back in February I published the post "DROSTE EFFECT"( watch>> https://plus.google.com/+annaritaruberto/posts/Gei5xfyqZUx), in which I informed you of what it was. Among the various links that I signaled in that post  there was this: 

"The mathematics behind the Droste effect">>
http://www.josleys.com/article_show.php?id=82

Article’s abstract: An image transformation method, first used by the artist M.C. Escher, and described by Lenstra et al. is generalized for use in a graphics program.

► Read too the article by B. de Smit and H. W. Lenstra Jr. in the pdf document “Artful Mathematics: The Heritage of M. C. Escher - Celebrating Mathematics Awareness Month”>>
http://www.ams.org/notices/200304/fea-escher.pdf

This is an excerpt:
In 1956 the Dutch graphic artist Maurits Cornelis Escher (1898–1972) made an unusual lithograph with the title Prentententoonstelling. It shows a young man standing in an exhibition gallery, viewing a print of a Mediterranean seaport. As his eyes follow the quayside buildings shown on the print from left to right and then down, he discovers among them the very same gallery in which he is standing. A circular white patch in the middle of the lithograph contains Escher’s monogram and signature.

What is the mathematics behind Prentententoonstelling?
Is there a more satisfactory way of filling in the central white hole? We shall see that the lithograph can be viewed as drawn on a certain elliptic curve over the field of complex numbers and deduce that an idealized version of the picture repeats itself in the middle. More precisely, it contains a copy of itself, rotated clockwise by 157.6255960832. . . degrees and scaled down by a factor of 22.5836845286. . . .

Note:
In recognition of the 2003 Mathematics Awareness Month theme “Mathematics and Art”, the mentioned article brings together three different pieces about intersections between mathematics and the artwork of M. C. Escher.

B. de Smit and H. W. Lenstra Jr. are at the Mathematisch Instituut, Universiteit Leiden, the Netherlands. H. W. Lenstra also holds a position at the University of California, Berkeley.
Their email addresses are desmit@math.
leidenuniv.nl and hwl@math.leidenuniv.nl.

Visit the website “Escher and the Droste effect”, which aims to visualize the mathematical structure behind Escher's Print Gallery>>
http://escherdroste.math.leidenuniv.nl/

Watch "Print Gallery">>
http://escherdroste.math.leidenuniv.nl/index.php?menu=escher&sub=orig

Gif source >>
http://pages.uoregon.edu/noeckel/computernotes/movieExample/

#mathematics #droste_effect #Escher   #Art #recursive_painting #science   #sciencesunday   #scienceeveryday  
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Ryan Heyworth

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It's mushroom season!
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In his circles
891 people
Have him in circles
271 people
Ketevan Chitashvili's profile photo
Timothy Collins's profile photo
Noah Benzing's profile photo
Myrzabek Ozubekov's profile photo
Penny Chin's profile photo
Frederica Engel's profile photo
Olatunji Samuel Akangbe's profile photo
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Too many ideas and not enough time (or money)...
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Product Designer - Creator of the unique GRIPPIT® display system.
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