#### Hexmex puzzle

Hexmex hint 1

The first clue is that there are two types of steps. One is within a hexagon and one is between hexagons. These can be interpreted as two distinct functions.

Hexmex hint 2

When moving in clockwise direction, the function within a hexagon is x_{t+1} = 2 * x + 1

Hexmex hint 3

The function between haxagons is x

_{t+1}= (x * 2) % 3#### Codagon puzzle

Codagon hint 1

Here, we have a distinct starting point and four types of movements.

Codagon hint 2

We can go up, down, left, and right, depending on the current position. Each direction corresponds to a function.

Codagon hint 3

x

_{left}= x + (x – 1)Codagon hint 4

x

_{right}= x – (x – 5)Codagon hint 5

x

_{up}Â = x + 3Codagon hint 6

x

_{down}= x – 1#### Locker puzzle

Locker puzzle

The answer is 31.

#### Locksmith puzzle

Locksmith puzzle

The puzzle creator has not yet shared the solution.