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A 4-row number pyramid beside the cover of Math Pyramid Maze.

Field Notes

Pyramid Maze: Find the One Legal Path

2 min read
  • Pyramid kinds
  • Maze
  • How to solve

Pyramid Maze: Solve the pyramid, then trace the maze: one legal path from IN to OUT. This is one of the many kinds of math pyramid we make, and here is how it works, with a video, a worked sample and a pyramid you can try right on this page.

Twenty seconds: the whole solve, step by step.

The rule

Step from brick to a touching brick, always following the rule: odd, even, odd, even.

A worked sample

Step 1

The start is forced

You enter at the top, 35, which is odd, so the next number must be even. Of its two neighbours, 24 is even and 11 is odd. Only 24 works. From 24, next must be odd: 11, not 16 or 8.

Step 2

Then 8

From 11 (odd) the touching bricks are 24 (visited), 8 and 3. 3 is odd, so the only even one is 8.

Step 3

A real choice

From 8 (even) three bricks are odd: 3, 7 and 1. 3 and 1 both lead into a corner with no way out. 7 goes on: 7 → 16 (even) → 9 (odd), and 9 is the OUT door.

Your turn

Try it: find the one legal path

Tap the bricks in order, starting at IN and ending at OUT. Each step must touch the last brick and follow the rule: odd, even, odd, even.

Why it is worth doing

A maze that you solve by rule, not by trial: look at each step, rule out the bricks that break the pattern, and the path appears.

Books mentioned

Math Pyramid Maze cover

Math Pyramid Maze

100 two-in-one puzzles: solve the pyramid first, then trace the maze through it. Full solutions are in the back.

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