Mathematical puzzle

Mathematical puzzle

From the book's pages

• Leonardo da Vinci trained his mind with geometrical problems. When all the parts are put together it looks easy; when they are scattered across the table it makes great demands on the ability to grasp spatial proportions.
• Take the pieces apart and mix them up. First try to assemble a hexagon — that is hard in itself. An even greater challenge is to make hexagons with three different combinations of the pieces.
• The puzzle is based on a hexagon formed from the triangle pattern in figure B: the circle filled with equilateral triangles, the sides of the hexagon halved and lines drawn between the midpoints.

My choices

• The hexagon is the one in figure B, 24 small triangles. The book's pieces are not drawn to scale, so the app's six pieces are made like this: each of the three rhombi in the cube pattern of the photograph is cut into two connected halves of four triangles, cut where they interlock the most.
• The app counts every new way the hexagon is made whole, so you can see when you have three different ones. A solution that is only the whole figure turned counts as the same.