More on maths...

People won't believe where you can find maths. Like this:

"It's a fern leaf" you think.

Yes it is, but no, it is not. It's just the result of a recursive formula.





Look at the next one:

Every leaf of the fern is composed from smaller leafs that are the same, but rotated, shrinked and placed sequentially on the stem.

See where this is going?

The whole leaf is composed from smaller leafs, which are, in their turn, composed of even smaller leafs, which are, in their turn, composed of even ....

--> The previous sentence is the iteration process. How many times you want to compose something from smaller parts that look the same, but are rotated and translated, is called the iteration depth.


Computers are very happy to do the same thinover and over. They are our top iterators. They like it, because the need the instructions just once, and then they will repeat it to infinity. Or breakdown, if you're using XP.

So, recursive use of the same formula will lead us to some amazing effects:

A broccoli?
Nope.
A recursive computer drawing. A fractal.

Look how a snowflake (Koch's snowflake) is formed by

• dividing every side of a triangle in three parts,
• Removing the middle part,
• replacing the empty line with two triangulated parts,
• repeating this over and over, on any scale.

Gotta close with some really interesting fractal art impression...










 There's more on fractals and recursion, So if you like it, let me know.

Courtesy to Wikipedia for most of the pictures.

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OK, it's a violent death for a gummi bear, but it's worth it.

It's like the poor bear is trying to escape...

Now think about the possible consequences:

- Gummi bear powered cars
- Gummi bear survival torches
- Gummi bear fobia therapy
- Gummi bear dirty bombs (like: "Look there, a nice full bag of delicious gummi bears!!! Let's..." *explosion. Creepy violent burning sounds. napalm bombardment-like scenes and people screaming*)


I'll warn my children tonight . Sugar is BAD.

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SNOW !!!!!!!!!!!

It's full of snow here! I can't remember it snowing this early in winter: normally it starts snowing (if it ever snows) around New Year, or even later. Even White Chrismasses are uncommon.

But it's nice, I have no big travels to do right now so I'm cosy and warm at home. Just picking up the kids later will take some extra time. But that's only about 4 km. I could even walk (But the kids won't really like that.).

I hear on the news that the whole of Europe is in a colf front. Brittain got it badly. People freeze in Poland. That's bad.

In Belgium, there's a big political discussion about the refugees that are living on the streets of Brussels, and where the government is failing to give them shelter. And that's outrageous. While they are saying all over the news that "It might take another 14 days to provide shelter and hire the people for this" Thos people have to sleep on the streets in -10°C.

They have little kids with them, goddammit.

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