Monthly Archives: December 2014

Beware of non-triangles

When you count triangles it is very important to avoid non-triangles.

It can be easily demonstrated in the first  stage of counting the basic shapes.

Look at this Pentagon, for instance: Green pentagram

The inner shape is also a Pentagon.

So, though there are 11 basic shapes

in it, but only 10 of them are triangles.

More than that:

When you stitch the inner Pentagon to

one of the triangles in the second phase

the shape is not a triangle also…

In short: beware!

This Pentagon riddle is solved in the book, of course.

Triangely yours

The Triangelog