# Patterns of Math - Visual Guide to the Mandelbrot Set

Related:  Mathematics

Awesome pictures from around the world | Vivi The Mage Someone sent me these in a chain email, it was horribly formatted. I also do not know who made the comments, or how accurate they are. I take zero credit in the pictures, I just wanted to compile them nicely for all to see. The world’s highest chained carousel, located in Vienna, the height of 117 meters. Thor’s Well – “the gates of the dungeon.” Emerald Lake in the crater of an extinct volcano. Restaurant on a cliff on the east coast of Zanzibar.Depending on the tide the restaurant can be reached both on foot and by boat. Office of Selgas Cano in Madrid Desert with Phacelia (Scorpion Weed). Balloons in Cappadocia, Turkey. Dubai. And this is the view down These trees grow in the forest near Gryfino, Poland. The border between Belgium and the Netherlands in a cafe Twice a year in the Gulf of Mexico rays migrate. In the resort town of Skagen you can watch an amazing natural phenomenon. In the Chinese province of Shandong is a bridge across the Gulf of Jiaozhou. Day and night. Family photo Share!

Fibonacci Number The Fibonacci numbers are the sequence of numbers defined by the linear recurrence equation with . The Fibonacci numbers for , 2, ... are 1, 1, 2, 3, 5, 8, 13, 21, ... Fibonacci numbers can be viewed as a particular case of the Fibonacci polynomials Fibonacci numbers are implemented in the Wolfram Language as Fibonacci[n]. The Fibonacci numbers are also a Lucas sequence , and are companions to the Lucas numbers (which satisfy the same recurrence equation). The above cartoon (Amend 2005) shows an unconventional sports application of the Fibonacci numbers (left two panels). A scrambled version 13, 3, 2, 21, 1, 1, 8, 5 (OEIS A117540) of the first eight Fibonacci numbers appear as one of the clues left by murdered museum curator Jacque Saunière in D. The plot above shows the first 511 terms of the Fibonacci sequence represented in binary, revealing an interesting pattern of hollow and filled triangles (Pegg 2003). ends in zeros. The Fibonacci numbers give the number of pairs of rabbits is given by .

100 Incredible Open Lectures for Math Geeks While many math geeks out there may have been teased for their love of numbers, it’s math that makes the world go round, defining everything from the economy to how the universe itself operates. You can indulge your love of mathematics in these great lectures and lecture series, which are a great diversion for those diligently working toward traditional or online master’s degree programs in mathematics. Some are meant to review the basics and others will keep you on the cutting edge of what renowned researchers are doing in the field, but all will help you expand your knowledge and spend a few hours enjoying a topic you love. Basic Math These lectures cover some pretty basic mathematical issues that can be a great review or help younger math lovers get a handle on a subject. Such lectures are an excellent resource for students who are completing online degrees in applied mathematics with the intention of entering careers as mathematics educators in middle schools and high schools. Algebra

Moving slabs [This Dynamic Earth, USGS] The layer of the Earth we live on is broken into a dozen or so rigid slabs (called tectonic plates by geologists) that are moving relative to one another. "Historical perspective" Mysterious number 6174 March 2006 Anyone can uncover the mystery The number 6174 is a really mysterious number. At first glance, it might not seem so obvious. But as we are about to see, anyone who can subtract can uncover the mystery that makes 6174 so special. Kaprekar's operation In 1949 the mathematician D. It is a simple operation, but Kaprekar discovered it led to a surprising result. When we reach 6174 the operation repeats itself, returning 6174 every time. We reached 6174 again! A very mysterious number... When we started with 2005 the process reached 6174 in seven steps, and for 1789 in three steps. Only 6174? The digits of any four digit number can be arranged into a maximum number by putting the digits in descending order, and a minimum number by putting them in ascending order. 9 ≥ a ≥ b ≥ c ≥ d ≥ 0 and a, b, c, d are not all the same digit, the maximum number is abcd and the minimum is dcba. which gives the relations for those numbers where a>b>c>d. For three digit numbers the same phenomenon occurs. and

Some Bizzare and Odd things around us… Beauty of the nature lies in viewer’s eyes. A photograph is just a way to show or represent that beauty. Here is a bunch of some wonderful pictures which are not only the example of beautiful photography but are also a photograph of some miracles happening in the world. You can also call it the creativity and innovation of photographer’s mind. I think it was at the peak while taking these pictures. Some photographs are just the example of wonder created by God. Some are really very cute and heart touching. I am simply in love with these photographs and I am sure you will too. Gibraltar Airport is one of the most extraordinary airports around the world. Morning Glory – kind of clouds observed in the Gulf of Carpentaria in northern Australia. The river above the river: Magdeburg Water Bridge, Germany. Heavy fog in Sydney, which enveloped the whole city. Skyscraper-Crescent Crescent Moon Tower (Dubai). Photo of storm in Montana, USA, 2010. In northwestern Montana, USA. Favelas of Brazil. Dubai.

Nick's Mathematical Puzzles Welcome to my selection of mathematical puzzles. What's new? See puzzle 160. The math puzzles presented here are selected for the deceptive simplicity of their statement, or the elegance of their solution. They range over geometry, probability, number theory, algebra, calculus, trigonometry, and logic. Explaining how an answer is arrived at is more important than the answer itself. Each puzzle is assigned a level of difficulty of between one and four stars, with four being the most difficult. The source for each problem is given at the bottom of the solution page. I welcome feedback of any kind. Some brief biographical information. Nick Back to top

BrowserQuest Mystery as spiral blue light display hovers above Norway By Mail Foreign Service Updated: 15:15 GMT, 10 December 2009 What's blue and white, squiggly and suddenly appears in the sky? If you know the answer, pop it on a postcard and send it to the people of Norway, where this mysterious light display baffled residents yesterday. Speculation was increasing today that the display was the result of an embarrassing failed test launch of a jinxed new Russian missile. The Bulava missile was test-fired from the Dmitry Donskoi submarine in the White Sea early on Wednesday but failed at the third stage, say newspapers in Moscow today. Strange spiral: Residents in northern Norway were left stunned after the lightshow, which almost looked computer-generated, appeared in the skies above them [caption] This emerged despite earlier reports denying a missile launch yesterday. The light appears to be unconnected with the aurora borealis, or northern lights, the natural magnetic phenomena that can often be viewed in that part of the world. What could it be?