Exercise 1 :
The other 8 can have a side that measures 2, φ + 1 ou 2φ, as below :
Try to circle the 20 convex polyores.
Exercise 2 :
This empty space can be filled by 2 unit triangles of area 1 (drawing b) or by a polyore of area 2 (drawing c).
These triangles are not polyores so we have to find another fence :
Drawing c shows another fence, and this time the empty space can be filled with 2 unit triangles of area φ (drawing d) or by a polyore of area 2φ (drawing e).
Exercise 3 :
If we start at angle 3, clockwise we have 3412 and counterclockwise 3214.
Using the same process, we find that its angle code is 1333.
Exercise 4 :
If you did Exercise 3 you found 7 different angle codes.
These shapes come from Exercise 2 ; they are respectively a 12223 pentagon and a 12313 pentagon : these shapess are made up of 2 polyores.
Exercise 5 :
Exercise 6 :
The aim of this exercise is to circle all concave polyores ; with this above, there are 12 in all ; but one of them has an angle of 324° and cannot be circled.