# Triangles in Triangles in Triangles...

Discrete Mathematics Level 4

What is the largest natural number $$N$$ such that we can NOT subdivide an equilateral triangle into $$N$$, not necessarily congruent, equilateral triangles?

Examples:

• We CAN subdivide an equilateral triangle into 4 equilateral triangles like in the image above.
• But we can NOT subdivide an equilateral triangle into 2 (possibly different) equilateral triangles.
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