Vector Maze

Level 1 Level 2 Level 3 Level 4 Level 5 Instructions More Vectors

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Instructions

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Type numbers into the vectors to create movement. For example, in level 1 you may decide the first vector should represent five squares across (positive values move to the right and negative values left) and eleven squared down (positive values are up and negative values down).

Vector Maze Example

Press the 'Run Vectors' button to see the affect of your chosen numbers.

The objective is to find the shortest route to reach the red circle. You might be able to shorten your route if you use more vectors.

Shortest Distance Table

The shortest route claimed with a Transum Trophy for each level of the Vector Maze. Can you get yourself on the table?

LevelRecord holderDistanceSet onTrophies
Level 1 202 29.1 units Tuesday, April 9, 2024 1154
Level 2 251 31 units Thursday, September 24, 2026 566
Level 3 07L 38 units Wednesday, October 25, 2023 412
Level 4 07L 32.1 units Wednesday, October 25, 2023 286
Level 5 251 56.8 units Friday, September 25, 2026 360

Record holders are shown by the first three letters of their email address used to claim the trophy so nobody is identified.

Can you find a shorter route?

You can calculate the length of each leg of your journey by using Pythagoras' Theorem. In the example below red lines have been drawn to show the horizontal and vertical components of the vector, 3 across and 4 down.

Finding the length of a vector

Prthagoras' Theorem states that the length of the hypotenuse (the blue line) is equal to the square root of the squares of the other two sides added together (the red lines).

Using Pythagoras' Theorem

So the length of this leg of your journey is 5 units. You will find that the lengths you are finding in this way don't often turn out to be whole numbers so you should round of the length of your complete journey to three significant figures.

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