Skills of tRace Perfect


tRace Perfect is a visual math puzzle. Even before making any moves, by observing a tRace perfect puzzle you can conclude which trace gives you the lowest score. To do this, you need to be able to visually concatenate lengths of lines and mentally compare the total lengths of different routes. You also need to visually allow for bumps. Every bump effectively adds 25% to the length of a line, two bumps 50% etc.

For when it is not visually evident which route will result in the lowest score, the next thing to do is to actually trace and look at the score going up with every move. This involves subtraction skills to calculate the score attributed to an individual move (updated score minus previous score). Memory is trained to associate between a move and its score so that longer lines are avoided next time round. And that is just for the aim of getting the lowest score possible.

Getting the highest score for a puzzle is a harder task. This is because of the retrace-detection rules as explained in the how-to-play page. This involves remembering which sub-routes have been traversed, and figuring out different permutations of moves to increase the score without falling into a repetition trap.

Similarly, the task of finishing the puzzle in as many different ways as possible requires memory to remember which solution has been run, and requires good logic to explore different routes.

In computer science, tRace Perfect is a derivative of the travelling salesman problem. It is an NP-Hard problem which means computers cannot solve it easily and in a scalable manner. However, it is a great challenge for the brain and should improve visualisation of lengths and numbers, improve basic math skills and sharpen up your memory.

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