M. C. Escher’s Sky and Water 1922
Escher was creative with his pieces as well as mathematical! In this particular work the fish turn into birds and the birds turn into fish. It shows the positive and the negative as both being a shape or object. Even if it is not detailed our brains still fill in the missing pieces to make it look like the fish on the bottom or the bird on top. Some also call this an optical illusion. Most people find this sort of artwork to be difficult because they can’t just draw the line of an object. -CW
M.C Escher was born on June 17th, 1898 in Leeuwarden in the Netherlands. His father George Escher and mother Sara Gleichman moved to Arnhem where he went to school. M.C didn’t excel at school, he failed the second grade because of health complications. But his poor health didn’t impair his drawing skills. College was similar as he failed many subjects but didn’t quit. He eventually became interested in woodcuts, lithographs, and mezzotints. Escher took the concept of both math and art and amalgamated them together to create impossible architecture. His piece Sky and Water involves birds and fish fitting together exactly like a puzzle. Depending which way the eye concentrates either the birds are the background or the fish are. -KR
Tessellations are patterns of plane figures that contain no gaps. Tessellations have been seen throughout art history from ancient architecture to modern art. The very first tessellations came from Spain, and were laid out by the Moors in the Fourteenth Century. They were colored tiles positioned in excquisite patterns. The young MC Escher was inspired by these tessellations and used these patterns to create his own using animal and people designs. Escher defined tessellation as the regular division of the plane. The Alhambra artists in Spain created tessellations before Escher was born, but he brought them out of the shadows. -JJ
Questions to consider:
Where did Escher find inspiration for his tessellations?
Do tessellations exist in nature?
How does this art relate to math?
I think he found inspiration by using something that was easy for him or different. He wanted to make something his own and use an optical illusion with it to make it interesting and personal. Tessellations can exsist in nature, but people have different perspectives on things. Everybody sees an object differently. So what one person sees another person may not or they may see a whole different picture. This piece of art relates to math because he seems to have the same length and seperation. Nothing in his drawing looks uneven. It all looks organized and in place.
ReplyDeleteHe used his love for art and nack for math to find a fit for both. He may not have been good at many things but what he was good at he definitely excelled at.
ReplyDeleteMany tesselations do exist in nature:; examples include: Corn cobs, honeycombs, fish scales, pinapples, tortoise shells and many many more.
This are relates to math because everything is symmetrical in its own way. All the shapes are the same just some a slight difference in size.
Source:
http://www.shodor.org/interactivate/discussions/TessellationsWorld/
I agree with hHaley Jo that everyone sees objects differently and that not everyone sees tesselations as easily as other people.
ReplyDeleteI also agree with Haley Jo that his drawing looks organized and in place, and nothing is uneven.
He was inspired by the love he had for both math and art. He wanted some way to put them both together had he could do it by doing tesselations. I agree with Haley Jo that not everyone can see the object in the tesselations and it is hard for some people also. There are teeselation in nature when you look up at the sky. When you look at a cloud you can see the shape of the cloud and the shape of the blue sky between the clouds so there is two different images that you can see when you look up.
ReplyDeleteHe was fascinated with paradox and "impossible" figures, and used an idea of Roger Penrose’s to develop many intriguing works of art. He drew inspiration from the mathematical ideas he read about, working directly from structures in plane and projective geometry.
ReplyDeleteThere are teeselation in nature when you look up at the sky because geese fly in this same pattern. You also see fish swimming in groups in this pattern. Art relates to math because shapes are part of math, triangles and circles.
I also agree with Haley Jo and Ry that his drawing looks organized and in place and nothing is uneven.
http://www.mathacademy.com/pr/minitext/escher/
Maybe he found some of his inspiration in his father’s job. He Georg Escher was a civil engineer, what means that he designed planes for towns or public places. The maps that he made might look like a puzzle with all the little pieces on it, just like MC’s tessellations.
ReplyDeleteAnd tessellation does exist in nature, we just don’t recognize it. Some examples could be a shell of a turtle, the skin of a snake or even the peeling of a pineapple.
The relationship to math is pretty obvious, it is just like geometry. The shapes must match up, so that they build a pattern without gaps in between.
Moreover, it seems to me that he showed the evolution of animals, which came from the water and ended up in the sky.
I also agree with Haley Jo and that his drawing looks organized and in place, and nothing is uneven.
http://en.wikipedia.org/wiki/M._C._Escher
Tessellations do exist in nature they are present in nature’s beehives. They are present in math because tessellations deal with the different types of transformations, like translations, and reflections. Escher likes t do the tessellations because he was good at the he was not a very good student in school, but was a very good artist. I agree with Haley that Escher was inspired to do these tessellations because it was easy for him.
ReplyDeleteSource: http://users.erols.com/ziring/escher_bio.htm
http://library.thinkquest.org/CR0212121/history/historypage.htm
Escher did something that love in math and art.Tesselations do exit in the nature and put them together.This picture related with math,the shapes of fishes and birds are the same just more details.
ReplyDeletei agree with ML3216 that he showed the evolution of animals, which came from the water and ended up in the sky.
ReplyDeletei also agree with Haley Jo that not everyone can see the object in the tesselations and it is hard for some people also.
http://www.worldofescher.com/gallery/A41L.html
Escher found inspiration for his tessellations in nature and he was also inspired by the love he had for art and math. He connected art and math in his tessellations and that makes them so awesome.
ReplyDeleteTessellations exist in nature, but not everyone has the same perspective on tessellations. There are different perspecties to look at them.
Examples of tessellations in nature are some flowers and animals and also the sky.
In Escxhers tessellation everything is symmetrical and the seperation and proportions are related to math.
http://en.wikipedia.org/wiki/M._C._Escher
http://www.mathacademy.com/pr/minitext/escher
I agree with Ry that the shapes are the same just some are a slight difference in size and I also agree with Ry that the drawing looks organized.
ReplyDeleteFinally I agree with ML3216 that Escher maybe found some of his inspiration in his father's job.
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ReplyDeleteI think the inspiration of this picture must be his love to math and nature. It's an amzing artwork I think :)
ReplyDeleteThe tessellation do exist in nature such as turtles' shells, dried desert ground, the outside of pinapples and beehives.
This picture relate to math because I had to draw tessellation in math too.
This is my source http://artexponewyork.com/2011/01/artwork-of-the-day-sky-and-water-m-c-escher/
I agree with Haley Jo that everybody sees an object in different way.
ReplyDeleteI also agree with her that nothing in his drawing looks uneven, it looks organized!
He was inspired by the love he had for both of two in math and art. Tessellations do exist in nature. He wanted some way to put them both together.so it do exist in nature. Tesselations related to math because when draw this picture it use balance that why it called Tesselations
ReplyDeletei agree with Haley jo that not everyone can see the object in the tesselations and it is not easy for some people also.
and This is my source http://www.mathacademy.com/pr/minitext/escher
ReplyDeleteI think he found the inspiration for his tesselations from the love that he had for art and math, and also because of the other factor of nature. He most definetly showed his care and talent for his tesselations in so many aspects. There are many, many, many tesselations in nature, whenever you see something solid and look at it and oyu can notice another shape that intertwines into it so theres a mixture of two different shapes or objects your looking at a tesselation. One of the most easy to see and find and most common of the many out there, is a corn cob. There is an obvious relation to math, because just like in geometry, the shapes that are shown all match up and make an even solid figure.
ReplyDeleteI agree with Haley that everything is organized and in place.
His inspiration for his tessellations came from a work of Roger Penrose’s that he thought was fascinating.
ReplyDeleteYes, I believe that tessellations do exist in nature. I agree with Haley on how everyone has a different perspective on things and everyone sees an object differently.
His art relates to math because his work has “an extraordinary visualization of mathematical principles."
http://www.mathacademy.com/pr/minitext/escher/