{"id":744,"date":"2017-08-15T15:40:20","date_gmt":"2017-08-15T08:40:20","guid":{"rendered":"http:\/\/localhost:8082\/wp477\/?p=744"},"modified":"2017-11-30T15:43:18","modified_gmt":"2017-11-30T08:43:18","slug":"let-s-plant-pythagoras-trees","status":"publish","type":"post","link":"https:\/\/www.qitepinmath.org\/en\/math-articles\/let-s-plant-pythagoras-trees\/","title":{"rendered":"Let\u2019s Plant Pythagoras Trees!"},"content":{"rendered":"

Pythagorean Theorem is one of the most famous theorems in mathematics. Centuries ago many ancient civilizations discovered that the square of a right-angled triangle hypotenuse was equal to the sum of the squares of the other sides, then Pythagoras (c. 570-495 BC) was credited for its first recorded proof.<\/p>\n

However, do you know that aside from helping us with right-angled triangle, Pythagorean Theorem can produce a really beautiful thing as well? Take a look at the following Pythagoras tree.<\/p>\n

\"\"<\/p>\n

Pythagoras tree is a type of fractal which is constructed from squares. In order to make one, we start with one coloured square, at the top of it we construct a right-angled triangle (the angles of the legs can be of any size) such a way that its hypotenuse stick to the side of the square. Then, we build other two coloured squares along the other two sides of the triangle.<\/p>\n

Repeat the construction recursively on the other two squares, for as many iterations as you can. The result is what we call as Pythagoras tree.<\/p>\n

We can also construct Pythagoras trees with isosceles right triangles as shown in the figure below.<\/p>\n

\"\"<\/p>\n

Can you guess how the following fractal is made?<\/p>\n

\"\"<\/p>\n

Finally, what is so special with today\u2019s Pythagoras article? Indeed, 15 August 2017 or 8-15-17, which is a set of Pythagorean triple, is Pythagorean Theorem Day! The next similar days will be on 16 December 2020 and 24 July 2025. How lucky we are to have those days.<\/p>\n

Now, it\u2019s time to challenge yourselves to make your own Pythagoras trees.<\/p>\n

Source:<\/p>\n

http:\/\/mathpaint.blogspot.co.id\/<\/a><\/p>\n

https:\/\/alexvieth.wordpress.com\/<\/a><\/p>\n

http:\/\/mathforum.org\/mathimages\/index.php\/Pythagorean_Tree<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Pythagorean Theorem is one of the most famous theorems in mathematics. Centuries ago many ancient civilizations discovered that the square of a right-angled triangle hypotenuse was equal to the sum of the squares of the other sides, then Pythagoras (c. 570-495 BC) was credited for its first recorded proof. However, do you know that aside […]<\/p>\n","protected":false},"author":1,"featured_media":745,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_expiration-date-status":"","_expiration-date":0,"_expiration-date-type":"","_expiration-date-categories":[],"_expiration-date-options":[]},"categories":[8],"tags":[],"yoast_head":"\nLet\u2019s Plant Pythagoras Trees! - SEAMEO Regional Centre for QITEP in Mathematics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.qitepinmath.org\/en\/math-articles\/let-s-plant-pythagoras-trees\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Let\u2019s Plant Pythagoras Trees! - SEAMEO Regional Centre for QITEP in Mathematics\" \/>\n<meta property=\"og:description\" content=\"Pythagorean Theorem is one of the most famous theorems in mathematics. 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