Even more dimensons??

An interesting interpretation of the higher dimensions in physics.

Dimensions

Today I am going to talk about the mysterious extra dimensions of space :) How Can we go about visualizing extra dimensional space? Well we can think of it as extending the plane outwards to a new level. Take for example the picture above it goes from zero dimensional ( just a dot) to four dimensional just by extending the planes out to a new 'level' so to speak.

A Tesseract orthoganally doubly rotating. Another way of visualizing these abstract geometrical entities is by using on of the most wonderful tools of the universe (that can potentially let us interact with aliens) MATHEMATICS!!!! We can do this by using such things called manifolds which are pretty much just surfaces but instead of using just a complex number to define them (a real number mixed with the imaginary number, Sqrt(-1),)we an use things called Quaternions or Octonions (Pretty much extended Complex numbers with more 'parts'). Now what these 'numbers' are, are our gateway to understanding all of the complexities of the fourth, fifth, sixth...etc dimensions that we can ever imagine. I wont go into detail... The weird things about these numbers are that they describe dimensions and our natural world to an extraordinary degree of accuracy very well but the don't act like normal numbers: for example with quaternions they break one of the fundamental rules of algebra since they are non-commutative. This means that if you took two quaternions lets call them 'A' and 'B'. A X B =/ B X A (A times B isn't equal to B times A). And what is weirder still is that their crazy cousins the Octonions are both non-commutative and Non associative which means that A X(B X C) =/ (A X B) X C which also breaks one of the most fundamental laws of algebra even more so. Therefore some of the craziest things that can describe our world in all its glorious (Maybe extra) dimensions, describe it almost perfectly. :)

A Nice little video on space time

This is a pretty good, simple video that i found on Fibonacci numbers in nature. Search more of Vi Hart's videos on Youtube.

Random things that i found today :)

Weird elevator Stop Motion Film Crazy Tattoos The Socratic Method of teaching Public Art Concepts Comic Strip
Don't ask how i find these i just do :)

Haha This is exactly what i feel like when someone says i hate maths. I just feel that they haven't been enlightened in any sort of way. :( www.thebestpageintheuniverse.net/c.cgi?u=math/

Mandlebulb

This is a video showing a 'Mandlebulb' (essentially a 3D Mandelbrot Set) which i think looks pretty cool :)

http://hd-fractals.com/mandelbulb-full-2/

These and other mandlebulbs actually arise from simply just higher powers of the original Mandelbrot set (The Mandelbrot set is 'Z↦Z^2 + C', therefore the Mandelbulbs have 'Z ↦Z^3 + C' etc...)

They technically don't exist since there is no such think as a 3D Mandelbrot set since they have used spherical coordinates to map the complexity on to a sphere but by definition the Mandelbrot set is in a 'Fractional Dimension'. But they can be made in four dimensions using Quaternions even though these lack the detail supposedly of the normal Mandelbrot set and unluckily we don't live in 4 dimensions. :(

Hi. Welcome to my blog :)