Klein Bottle

If you want to give a mathematician something to try to wrap their head around, a Klein bottle is a good place to start. A real Klein bottle is an object with no inside and no outside that can only exist in four dimensions. These glass models exist in three, which means that unlike the real thing, they can actually hold liquid.
The difference between the models and the real thing is that by adding an extra dimension, you can make it so that the neck of the bottle doesn’t actually intersect the side of the bottle. Take a couple aspirin and try to picture that in your head.

(taken from http://www.coolcrack.com/2011/09/11-cheap-gifts-guaranteed-to-impress.html)

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Gömböc

The Gömböc is a self-righting object, which means that no matter which way you put it down, it stands itself back up. It’s like a Weeble, except it doesn’t cheat by having a weight at the bottom, and it’s the only shape that can do this.
The existence of a shape with these properties was conjectured in 1995, but it took ten years for someone to figure out how to actually make one that worked. And then everyone was embarrassed when it turned out that turtles had evolved this same basic shape in their shells a long time ago, to make it easier for them to roll themselves back over if they get flipped.

(taken from http://www.coolcrack.com/2011/09/11-cheap-gifts-guaranteed-to-impress.html)

The Human Mind

You know when someone says to you a certain famliar name or place and you can see an image forming in your mind, or when you travel somewhere or do something and when you think about it you have no recollection of going there or doing it (spontaneous amnesia), have you ever wondered why it is that happens or how it works that you can visualize an image in your head. The human mind is a fascinating thing in itself and according to some theorists we only use on average 5% of its full strength. There has been debate that some people are able to focus more than others and therefore become pychics or mediums etc. I find this absolutely amazing. Imagine if we all had 100% use of our mind. Imagine the things possible to us and the doors it could open. Hopefully this post will encourage you to become interested and curious too.

  • How can we only use a percent of our brain?
  • Evidence shows we can use more.
  • Scientists and others in the psychological, sociological fields have asserted that humans use maybe .01 to.10 percent of our brain. Without getting all science geek about it there is an easier way of understanding what that means.
  • First let us clarify, mechanically you use 100% of your brain. Maximizing usage is another subject. So when someone puts a percentage of use on the brain they do not mean that the other say 90% is dormant or useless.
  • Think of it this way. Let’s say your brain is a stereo. When you are using your stereo you are using 100% of it. Here is the x factor. If the volume knob is set at say a 2 level then you are not getting the same usage when compared to turning the volume knob to 8 or 10.
  • So what scientists are trying to get across to us is we have a lot more room in our cranium to fill. We have more volume to boost. We are not even close to tapping our potential of brain power. The percentage is actually a moot point I would think in reality.
  • There is no physical data to determine in tangible evidence the amount of usage the human brain has. There are as many as if not more than 100 billion brain cells. Then there is the neuronal and synaptic connections. Interestingly there has been data that has determined that people have increased there brain power however.
  • Then there are the people who demonstrate mental abilities that are very rare. Some people with autism for example have had the ability to calculate very high levels of math equations without ever having learned how.
  • There is also more and more variables we are learning about the brain. Studies that suggest that even though our brain is one as a whole we evidently get production out of separate parts of the brain for different mental tasks. We have all heard of the right brain/left brain references for example.
  • So regardless of how you want to interpret the brain usage by percentage, the fact is it is the most amazing gift we have. A computer is nothing compared to the human brain. And we can build upon our ability to get more out of it. So turn up the volume button and get the old noggin’ working.
  • Taken fromhttp://scienceray.com/biology/human-biology/how-much-brain-do-we-use/

 

Beyond us…

  • What is Space?
  • Space is the limitless, boundless, three-dimensional extent where objects and events occur and have relative position and direction. Generally, physical space is conceived in 3 linear dimensions, although modern physicists typically consider it (along with time) to be part of the boundless four-dimensional continuum that is known as spacetime.
  • In the world of mathematics, ‘spaces’ are usually examined with different numbers of dimensions and with different underlying structures. Space, the concept, is generally considered to be of critical importance to an understanding of the physical universe – although philosophers disagree about whether space is itself an entity, a relationship between entities, or part of a conceptual framework.
  • In the view of the great English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian Isaac Newton (1643-1727), space was absolute – in the sense that it existed permanently and independently of whether there were any matter in the space. Other philosophers such as Gottfried Leibniz, thought instead that space was a collection of relations between objects, given by their distance and direction from each another.
  • In the 18th century, the German philosopher Immanuel Kant described space and time as elements of a systematic framework that humans use to structure their experience. In 1905, the brilliant theoretical physicist and philosopher, Albert Einstein, published a paper on a special theory of relativity, where he proposed that space and time be combined into a single construct known as spacetime.
  • Ultimately, space is best described as the continuous extension in all directions in which all matter exists, and this is our final answer to the question, what is space?
  • What is Outer Space?
  • Outer space is generally described as anything beyond the atmosphere of Earth. There is no air to scatter the light, thus what we see when we look up into the night sky is a black emptiness spangled with stars, planets and other extraterrestrial matter. It is important to understand however, that ‘space’ does actually include everything within the Earth’s atmosphere as well as all of the land and water on its surface.
  • Taken from http://issuu.com/jonathangranger/docs/what_is_space_book_