Le meilleur score possible au 2048 : 131072

Download 2048 Game:
https://play.google.com/store/apps/details?id=com.estoty.game2048

This addictive game “2048” is better than any other violent game like “The World of Warcraft”. At least it improves your math!

The video explains its principle and why you will never exceed 131,072.

It is binary arithmetic, or power of 2 = 2^{n}

image

Notice the rule of 0 & 1:
32 = 1\underbrace {00000}_{5 \: zero}

Minus 2:
30 = 1111\underbrace {0}_{1 \: zero}

Minus 4:
28 = 111\underbrace {00}_{2 \: zero}

image

The maximum scenario whereby all 15 boxes are filled with the power of 2:

Final score (Maximum)
131,072 = 1\underbrace {00,000,000,000,000,000}_{17\: zero} = 2^{17}

Case 1: The 16th box: – 2
131,070= \underbrace {1111111111111111}_{16 \: one} \underbrace {0}_{1\: zero}

Case 2 (Maximum) : The 16th box: – 4
131,068 = \underbrace {111,111,111,111,111}_{15 \: one} \underbrace {00}_{2\: zero}

image

Strategy to win:
http://mathtuition88.com/2014/04/14/2048-math-game-free-strategy-guide-walkthrough/

Advertisements

2 thoughts on “Le meilleur score possible au 2048 : 131072

  1. you are in point of fact a excellent webmaster.
    The site loading speed is amazing. It seems that you’re doing any unique trick.
    Furthermore, The contents are masterwork. you have done a excellent task in this topic!

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s