70K views · 983 reactions | Today I learned that a Sierpinski triangle can be generated by a fractal tree. | Center scientific of matheamatics | Facebook

SOLVED: The Sierpinski triangle is obtained from a triangle by deleting the middle fourth as indicated in the first step, by deleting the middle fourths of the remaining three congruent triangles in the second step, and in general deleting the middle fourths of the remaining triangles in each successive step. Assuming that the original triangle is shown in the figure, find the areas of the remaining parts of the original triangle after N steps and find the total length of all of the boundary tri

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