TWIT Tap 

 The Original TWiT Game of Logic!

 

The game consists of a 5 by 5 grid of TWiT logos. When the game starts, a random number or a stored pattern of these logos is switched on. Pressing any of the logos will toggle it and the four adjacent logos.

The goal of the puzzle is to switch all the logos off, preferably in as few button presses as possible.

  • If a logo is on, it must be toggled an odd number of times to be turned off. 
  • If a logo is off, it must be toggled an even number of times (including none at all) for it to remain off.

Several conclusion are used for the game's strategy. Firstly, the order in which the logos are pressed does not matter, as the result will be the same. Secondly, in a minimal solution, each logos needs to be pressed no more than once, because pressing a logo twice is equivalent to not pressing it at all.

     

TWiT-Tap!  - A Fantastic game of logic!