Thursday, February 22, 2018

Largest Primes


List of First 10,000 Primes

http://www.isthe.com/chongo/tech/math/prime/mersenne.html#M43112609


Watch from 1:30 to 12:45





UPDATE - The newest, largest Mersenne prime as of October 10, 2017 was discovered on January 7 of last year.  It can be found at this link: http://www.mersenne.org/primes/?press=M74207281


This find was announced also in the New York Times (which can be a little more fun to read than a math site).  That article can be found here http://www.nytimes.com/2016/01/22/science/new-biggest-prime-number-mersenne-primes.html?_r=0










Monday, February 12, 2018

Sunday, February 11, 2018

In Search of Mayan Mathematics














OR

MAYBE THIS IS WHAT HAPPENS!




(Working link Fall 2017: https://www.youtube.com/watch?v=3fcaXmpZydI)




WHERE'S THE KABOOM?!
THERE'S SUPPOSED TO BE AN EARTH-SHATTERING KABOOM!
THE ELUDIUM Q36 EXPLOSIVE SPACE MODULATOR!
THE EARTH CREATURE HAS STOLEN IT!





Monday, January 29, 2018

Fractals 1



Here are the first few stages of the construction of the HILBERT CURVE. Notice that it begins as a one-dimensional segment. If we think of dimension as how much information you need to locate a point, we see we only need one piece here - how far along the curve we are. If iteration process is carried out infinitely many times the curve contains every point in the square; in other words it fills the square. But we know that a square is two-dimension, so what is this shape: one-dimensional, two-dimensional, both, neither?





Below is the CANTOR SET. It is created by beginning with a segment (one-dimensional), cutting it into three pieces and removing the middle third. This process is repeated at the next stage for all newly created segments. The final result is an object with no length, made up of intinitely many points. We know points are zero-dimensional. What is the dimensionality of the Cantor Set - one-dimensional (like the shape it began as), zero-dimensional (as a point is), both, neither?



Next we have the KOCH CURVE, in which we begin with a line segment, cut it into thirds and replace the middle third by two segments of the same length. At each new stage we do this for each new segment. In this way we get a curve in which the endpoints never get further apart, and which we could surround completely with a small oval, and yet that has infinite length. Also, any tiny piece of the final shape can be blown up to give us an EXACT copy of the original (see animation zoom).











MONSTERS AND NATURE