Answer: What Comes Next? #222

The answer is A: an arrow pointing left.

The finished pattern: an arrow pointing down and left, an arrow pointing down, an arrow pointing down and right, an arrow pointing right, an arrow pointing up and right, an arrow pointing up, an arrow pointing up and left, an arrow pointing left.
The finished pattern.

The rule

The arrow turns 45 degrees anticlockwise (the opposite way to a clock’s hands) every time. 8 steps make a full turn of 360 degrees.

The pattern as Python code

Here is a tiny Python program that follows the same rule. Type it into IDLE and run it to print the whole pattern, including the answer.

direction = 225
for step in range(8):
    print("Step", step + 1, "points", direction, "degrees")
    direction = (direction - 45) % 360

When you run it, Python prints:

Step 1 points 225 degrees
Step 2 points 180 degrees
Step 3 points 135 degrees
Step 4 points 90 degrees
Step 5 points 45 degrees
Step 6 points 0 degrees
Step 7 points 315 degrees
Step 8 points 270 degrees

Pixel says: Try changing a number in the code and run it again. Can you make the pattern go on for 20 steps? Meow!