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AMO 2021 — Secondary 1 (Grade 7) Question 8

AMO · AMO 2021 — Secondary 1 (Grade 7)

Question 8

A tessellation covers a plane without gaps or overlaps; a triangle example is shown. Consider three identical regular pentagons. In how many ways can they be arranged to form a tessellation? Interpret the question as asking whether identical regular pentagons can tile the plane, with three meeting at a vertex.

Question illustration
  1. Zero
  2. One
  3. Two
  4. Four
  5. Infinitely many