Page 4 - Interesting Facts

The fact that the sum of odd numbers starting at one is always a square number, is easily explained by this image

As with many things mathematical, understanding a concept is much easier if one finds a way to visualize it.

While we see numbers and letters, perhaps mathematicians can transform them into a two or three-dimensional visual image, helping them see the answer to questions that baffle many of us.

An example of this can be seen by using this simple picture to prove that the sum of the first n odd numbers is always the square of n.

Of course you may not know that n, translated from mathematics into English, simply means "any given number".

As you can see from the illustration, if we start with one square (one being an odd number) and simply add another layer of little squares to the top and right of the existing square or squares, one effectively always adds an odd number.

If we want to know how many little squares there are in total, we follow a simple principle. We multiply the number of little squares on each side.

Not surprisingly, this results in the square of the number of layers or, in simple English, n multiplied by itself. This is how what may seem to be a difficult concept, can easily be understood by creating a picture!


The plot of the manga/anime 'Akira' revolves around the 2020 Neo-Tokyo Olympic Games

There is a large group of anime fans that consider ‘Akira’ to be the greatest anime of all time.

The animation is very well done and the story line is so complex that the viewer has to constantly keep up with events as they unfold. It can not really be classed as relaxing, mindless viewing.

The story is set in post-apocalyptic Tokyo after a nuclear bomb detonated there in 1988. Subsequent to these events, Word War III broke out and society changes drastically.

Everything in this anime revolves around the 2020 Neo-Tokyo Olympic Stadium that was actually constructed as a cover for covert military operation and it was also where Akira’s (a paranormal psychic power) frozen remains were held and where they were discovered by Tetsuo.

The 2020 Neo-Tokyo Olympic Games were to be the first of its kind to be held after the start of World War III.

The stadium is the place where the final conflict between Tetsuo Shima, the young biker with psychic powers, and his life long friend, Shotaro Kaneda, takes place. It is also where Akira is re-awakened and it is the epicenter of Neo-Tokyo’s destruction and the creation of the new universe.

The real 2020 Summer Olympic Games will, coincidentally, be held in Tokyo! What an amazing coincidence!


Usher's 'OMG' sounds a lot like a song Homer Simpson wrote in 2003.

DJ's from Y101.7, a radio station in Jackson, Mississippi, discovered the similarities earlier this year. If you listen to the two songs together, it's pretty hilarious.


Some awesome lists!

There an island in a pond on an island in a lake on an island in a lake!

Moose Boulder is the largest island in the largest lake on the largest island in the largest lake on the largest island in the largest lake in the world.

Nature can be quite the joker and give you a splitting headache!

Isle Royale is situated in the northwest of Lake Superior, the largest lake in the world. The island is 45 miles long and 9 miles wide with a total area of 206.73 square miles.

At this size, it's the largest natural island in the lake and the third largest in the contiguous United States after Long Island and Padre Island.

On the island is Siskiwit Lake, which is the largest lake on Isle Royale at 4,150 acres in area.

No, it doesn't stop there. Inside the lake are multiple islands, including Eagle Nest Island and Ryan Island as the noticeably largest ones.

On Ryan Island there is a pond that shows up during certain seasons. Inside the pond sits our last entry: Moose Boulder, which is itself an island when the pond is present.

Now you can go ahead and go grab some asprin!


It's possible God could have an army of fiery dragons by his side according to some theologians!

The bible is full of fascinating stories with sometimes cryptic descriptions and meanings.

It doesn't help that some translations and word meanings have been lost or evolved throughout the centuries.

Such is the case with the term “seraph” which is a type of celestial or heavenly being in the Judaism and Christian faith—but it also means snakes.

The literal translation is “burning ones” but it's a synonym for serpents in the Hebrew Bible. A passage from the book of Isaiah describes seraphs as burning six-winged beings that fly around God's throne.

They didn't have the same status as angels, and weren't considered to one until later sources grouped them into that division.

A passage from Revelation describes them as forever being in God's presence while another text describes them as “dragon-shaped angels.”

That begs the question to many serious theologians: does Christianity believe that God has a pack of fiery dragon angels that surround him at all times?

I know if I was an all-powerful omnipotent being, that is probably the first thing I would do!



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