"Art and Mathematics" in the game

Source: China Science Popularization Network

"Monument Valley"

Penrose Triangle

Pengrose Stairs

In the game "Monument Valley", the little princess Aida stole the sacred geometry of the kingdom because of curiosity, but this seemingly harmless behavior caused the entire kingdom to destroy. In order to repent, she decided to return these sacred geometry, and the player's task in the game was to manipulate her through all kinds of characteristic and difficult aisles to come back to the end of the sacred geometry. "Pengros Triangle" has become an important element of "Monument Valley". Let us explore the Penrose Triangle in the Visual Dedue in the Monument Valley.

Pengrose Triangle is one of the impossible objects. The first was produced by the artist Oscarreutersvard from Sweden in the early 1930s. British mathematician Roger Paulus and his father were also interested in this, and published in the British Psychology Monthly in the early 1950s, called "the purest form of impossible".

It looks like a solid, consisting of three sections into a square cuboid, and then combined with these three cuboids to a triangle, but the angle between each two rectangles seems to be a right angle. And these properties cannot be realized in any normal three -dimensional space, and can only exist in some specific Our three -dimensional streaming.

It is an impossible object, but there is actually a three -dimensional object. From a specific perspective, you will see the same pattern as the two -dimensional pattern of the Peeros triangle. The Pengrose triangle can refer to the impossible object itself or its two -dimensional pattern. For example, in East Perth in Western Australia, these impossible object sculptures are often applied to architecture and other aspects.

Esher's print "Waterfall", this painting depicts a twisted waterway along the two stretched Penrus triangles. It happened to be the short side of the two Penrose triangles, and then the waterfall was driven by the waterfall. In "Waterfall", Eshangle connected three Penrose triangles to create an impossible waterfall that continues to be circulated. If the reader's vision starts from the upper left corner of the work, the waterfall will continue to flow down, and the lowest point suddenly becomes the highest point, and the waterfall flows down from top to bottom.

"Raise and landing" is the art presentation of the Penrose stairs. There is an endless cycle staircase. At first glance, it seems to be going up, but it seems to go down, but in fact, the height has not changed. If you start from a certain step, follow the ladder to keep going up, and at the end, you will find that you return to the starting point again; otherwise, the same goes down from a certain step.

For a long time, people think that if an orderly mode is filled with disorderly surfaces, there will be another situation. Pueros has always tried to design a plan for this filled, so that it will not repeat the translation. In the 1970s, Penrus invented a non -periodic inlaid scheme with only two basic shapes. This theory inspired the Israeli scientist Daniel Schtman in 1982 and won the Nobel Prize in Chemistry in 2011. Today, Penrose land tiles have become a mathematics representing art. In 2013, Oxford University changed the entrance of the Mathematics Building to the Penrose Brick Rangers.

Beros had an unexpected impact on science, art, and even our lives in his way, and proved us how art and mathematics gave each other rich and clever inspiration. Finding possibilities in an impossible world, their unruly release of curiosity and imagination until the end of the world.

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