Answer: What Comes Next? #231

The answer is C: an arrow pointing right.

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

The rule

The arrow turns 135 degrees clockwise (the way a clock’s hands move) every time. It takes 8 steps to get back where it started, because 8 × 135 = 1080, which is 3 full turns.

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 + 135) % 360

When you run it, Python prints:

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