Well, it definitely has been a while. A quite long while it has honestly. In this blog post I'll explain you what's going on with me and how things in regard to Gamemode 4 and the wiki will change. Plus, I'll have a 'quick' reaction on the famous Math stuff Penguin puts on his profile page: you should definitely check it out if you haven't already.

## Where have I been?

You guys might remember me as one of the more active persons on the wiki! And I wish I still could be. However... School just happened xD

I've been most active during my whopping 3 month holiday after my final year in secondary school and sadly, all holidays come to an end at some point. But that doesn't necessarily mean I can't be online anymore, or could it....? Well, I've started university 5 weeks ago and *my god it's demanding a lot of time*! As a mathematics and computer science student I just simply don't have any time to play some games; at most to check Reddit, a select amount of YouTube videos and scroll maybe a bit though the wiki activity. But that's it! And don't think I'm not enjoying. Oh hell no! I'm **loving it**. Though sometimes all the work overwhelms me. It's tiring - but probably the best time of my life!

This basically means I can't be online that often on the Gamemode 4 wiki. :'(

## So, what will change?

Will I be leaving this place? **HELL NO!** I love you all too much to leave, though I will have way less time to spend here. I'll try to keep the discussion alive on here and to read as many of the forum posts I can - but not as much as you probably are used of me. So don't worry! I won't be leaving, I just need some more time for myself from now on.

And now... the fun stuff!

## Re: Maths Stuff

I just saw Penguin's Math rubric in his blog and my mind went crazy! I love Maths. Just love it! Just to clear away some prejudices: No, math's not just about numbers. Yes, mathematicians have humour. Yes, mathematicians (and especially computer scientists) are amazingly social people. Yes, maths is fun!

Now that's out of the way: Let's start rolling!

### #001 Sierpinski's triangle

Like penguin already told you: those are magical shapes that I mostly refer to as a *triforce in a triforce in a triforce in a triforce*. In maths - all figures that are created using a similar manner are called **fractals**. Plus, there's something really weird going on with fractals regarding their surface and perimeter. Let's take a look at the triangle's surface first.

#### Surface and Perimeter

Like penguin told in his post: each *generation *of the triangle, it's surface gets multiplied by ¾. If we keep doing that for all the new triangles for *n* amount of times approaching infinity (basically repeating cutting out chunks for ever), we get the following surface:

Yes; the surface of the triangle is theoretically 0. But if we take a look at the perimeter: you notice that the perimeter grows with one third every time. So for the perimeter (if you repeat it an infinite amount of times) you'll get:

This means that the Sierpinski triangle has an **infinitely large perimeter** whilst having **no surface**. Weird isn't it?

#### The Chaos Game

Another weird thing about the Sierpinski triangle is that is is *everywhere*. One of the ways to create the triangle is by playing the chaos game. In the chaos game you draw a triangle and call each corner either (1,2), (3,4) or (5,6). Now just draw a dot randomly inside the triangle and repeat the following:

- Roll a dice.
- Draw a dot exactly between the corresponding corner of the triangle and the previously drawn dot.

Once you've done this for enough times: you'll get... guess what... the Sierpinski triangle! This way you can plot the triangle with only a few lines of code! The triangle below is the one I plotted myself using this method:

#### Pascal's Triangle

Pascal's triangle is a triangle where the top number is 1, and each number below it is the sum of the two numbers above the number. Sounds confusing? Take a look at the picture to the right.
The weird thing though: is that if you colour in all the odd numbers you'll *again get the Sierpinski triangle*. Just try it out for yourself (I swear! DO IT NOW!) and be amazed.

#### Random Homework Assignment

A few weeks back I had to do a homework assignment for Programming. I had to make an automaton... When I tested the harder part of the exercise I just put in some weird number and guess what I saw as output:

Yes. The *FLIPPIN' TRIANGLE* again. Maths's lovely isn't it ;)?

### #002 Sorting Algorithms (bogo sort and video)

I'd like to indroduce you to my favourite sorting alogirthm of all time: **BOGOSORT**. Why is it so special and awesome? Because it's practically useless! So now I hear you wondering: what is bogo sort? Well.. Let's take a closer look then!

#### Bogosort

Bogosort works like this: suppose you have a deck of cards and want to sort it. Repeat the following until you have a solution:

- Throw all the cards to a wall.
- Pick them all up.
- Check if they are in order.

Yes. This is slow and should never be implemented. To give you an idea of how slow it is, I made a little program that sorts *n* integers in a list using bogosort. Unofficial benchmark is on a intel i7:

`Took 1ms for 1 elements.`

Took 0ms for 2 elements.

Took 1ms for 3 elements.

Took 0ms for 4 elements

Took 0ms for 5 elements.

Took 2ms for 6 elements.

Took 2ms for 7 elements.

Took 74ms for 8 elements.

Took 35ms for 9 elements.

Took 178ms for 10 elements.

Took 13493ms for 11 elements.

Took 830703ms for 12 elements.

You can make your own conclusions!

#### Fun video to visualise sorting algorithms

Give it a watch! Much beeps and colours: great visualisation of how all the sorting algorithms sort.

## Love

That's it for now! Cya the upcoming days and maybe during the community UHC!

<3 Caney