The authors prove tight upper bounds for covering a triangle of side n+d with n²+k homothetic unit triangles when 4 ≤ k ≤ 2n and give optimal odd-k and even-k constructions plus a consolidated method that meets the bounds.
Conway and Alexander Soifer
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2026 1verdicts
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Optimally Covering Large Triangles with Homothetic Unit Triangles
The authors prove tight upper bounds for covering a triangle of side n+d with n²+k homothetic unit triangles when 4 ≤ k ≤ 2n and give optimal odd-k and even-k constructions plus a consolidated method that meets the bounds.