Objective: Use transformations to move the ball into the hole on a 20 × 12 grid. The axes are labelled (x along the bottom 0–20, y up the left 0–12). If the ball finishes within 0.1 of a unit of the hole, it counts as holed.

How to play

• Click Translation, Rotation or Reflection to choose your stroke.
• Enter the required parameters, then press Play to animate the shot.
• If the ball leaves the 20 × 12 grid, it’s "in the rough": a message appears and a new ball is positioned at the nearest grid point on the boundary.
• Complete 9 holes. The scorecard tracks strokes per hole and the running total.

Transformations

• Translation: enter values (x at the top of the vector and y at the bottom) as positive or negative whole numbers (integers).
  • Hole 1: any integers
  • Hole 2: multiples of 2 only
  • Hole 3: multiples of 3 only
  • Hole 4: multiples of 4 only
  • Hole 5: multiples of 5 only
  • Holes 6–9: translation not available
• Rotation: enter centre (x, y) and angle in degrees (decimals allowed; positive is anticlockwise). Available on holes 1–9 except hole 8. Holes 7 and 9 are restricted to 120 degrees.
• Reflection: enter line y = m x + c (m and c can be decimals). Available on holes 1–8 but not hole 9.

Course notes

• The ball and hole always begin at integer coordinates. Sides alternate each hole.
• The darker green region marks “the green”; landing there isn’t required, but the hole sits within it.
• Claim a Transum virtual trophy when you have completed a 'round' of nine holes.
• Play the game many times to improve your personal best score. The lower the score, the better you have played. Aim for a score of just 9.