Race and Car Crashes. Unique Stuff. Misc Interesting. Penny auction info. Wild Weird Fantastic Science Proven to Work. Documentary. Future. Haunted Places. Ghost. Conspiracy. Truth. Rumors. Math. The Ancient Egyptian Concept of the Soul. Tech News. Gallery of fantastic creatures. Mysteries. TV Series. Amazing spider in your browser. Full length movies. Are Ufo's Real? Ebon Musings: Reflections Beneath the Milky Way. Kaizen philosophy and Kaizen method. StumbleUpon. WARNING: Tony Robbins issues dire predictions on the coming collapse. SubSite - Start. Things Americans Say Wrong. Ulam’s Prime Number Spiral. There is an infinite number of prime numbers, and yet the prime numbers themselves do not display any apparent pattern, nor does any formula exist that generates prime numbers.
In fact, Legendre proved that there cannot be an algebraic function which always gives primes. However, prime numbers do exhibit a curious phenomenon when arranged in a spiral along with other consecutive integers, as in the figure to the right (in the figure, prime numbers are highlighted in white, twin primes are green, and Mersenne primes are red). The Phenomenon It was first noticed by the physicist Stanisław Ulam in 1963, when he got bored in a meeting and started doodling spirals of numbers.
He noticed that, if he makes a spiral of consecutive integers, and circles only the prime numbers, strange diagonal “lines” of prime numbers emerge. This is quite surprising, since we would intuitively expect a random distribution of prime numbers. Application Conclusions Extreme Spirals. Other Featured Artists. Hyperbolic Tessellations. A tessellation refers to a uniform tiling of a plane with polygons, such that an equal number of identical polygons meet at each vertex.
For example, the tiles in a bathroom, the squares of linoleum on an office floor, or the honeycomb pattern in a bees’ nest are all tessellations of the Euclidean plane. However, tessellations are also possible on non-Euclidean spaces, such as the elliptic plane (like the stitching pattern on a soccer ball), and the hyperbolic plane (like… nothing you’d find around the house).
In fact, the Euclidean plane has only three regular tessellations (with squares, hexagons, and triangles), while the hyperbolic plane can be tessellated in infinitely many ways. Since we do not exist in hyperbolic space, we cannot truly “see” hyperbolic tessellations. We can only “represent” them in Euclidean form. A common way of doing this is on the Poincaré disk, which is a finite circle that represents the boundary of the (infinite) hyperbolic plane that is contained inside. Noddy (character) Noddy is a character created by English children's author Enid Blyton, originally published between 1949 and 1963. Television shows based on the character have run on British television since 1955 and continue to appear to this day. Noddy is a self-employed taxi driver. Noddy loves driving his friends around Toytown in his little red and yellow taxi. The other toys can hear him coming by the distinctive "Parp, Parp" sound of his taxi's horn and the jingle of the bell on his blue hat.
Often he uses his car to visit all of the places in Toytown. When his taxi business is not doing so well, or when he needs help, Noddy turns to Big Ears. Noddy's constant companion and household pet is the exuberant "Bumpy Dog". Noddy is kind and honest, but he often gets in trouble, either through his own misunderstandings, or because someone (usually the naughty goblins Sly and Gobbo) has played a trick on him.
Noddy's best friends are Big Ears, Tessie Bear, Bumpy Dog and the Tubby Bears. Noddy (character) Super Macro Your Cellphone Camera With A DVD Lens. I’ll admit, Super Macro Your Cell Phone Camera With A DVD Lens is one weird title. However, if you just moved to a blu ray DVD player and you’re looking for some good use for your old DVD, cnflikt (who also took the shots for this tutorial) came up with a hack to enable you to take super macro shots with your cellphone. Of course you’ll need a camera phone for that. cnflikt uses the notorious, yet old-skooled K800i, but any camera phone will work here. First thing is to get a lens for your camera phone.
Make sure your old DVD player is not connected to power. Then take the screws off. This is a great way to void your warranty. Anyhow, if you went against my advice, you’ll find the lens under the place where the disk goes. Ok, I’m only kidding on this one. If you opt for the cardboard option, just make a round hole in the cardboard. Just use some duct tape (as indicated before) to mount your lens directly, use or blue Tack to hold the card mount.
WOW.