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How many triangles?

How many triangles?

How many triangles?
How many triangles are there in this picture? 94.7% of Americans miss the answer. Try it first, then see the answer below.

 

Answer:

6 small red triangles

3 small white triangles

3 medium red triangles with a small white triangle center

1 large triangle with 3 small triangles in the center

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total = 13

 

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Triangles and Simplices

These pointers discuss triangles and their higher-dimensional generalizations (simplices). I am particularly interested in triangulation by which I mean partitioning regions into triangles, tetrahedra, or higher dimensional simplices, for various applications including finite element mesh generation and surface interpolation. (The other meaning of triangulation involves determining locations and distances from certain measurements.) For more material on the first type of triangulation, see the mesh generation section of Geometry in Action or the list of my own triangulation papers. For other kinds of partitions, see the page on dissection

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Three Types of Triangles

  • Scalene triangle: A triangle with no congruent sides
  • Isosceles triangle: A triangle with at least two congruent sides
  • Equilateral triangle: A triangle with three congruent sides

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