Unified constructions of the regular Heptagon, Triskaidecagon and Heptadecagon

Constructions of regular heptagon and triskaidecagon by trisection of an angle are well known. An elegant construction of the heptagon by S. Adlaj shows a 3-fold symmetry related to a Galois group. Based on the latter construction, in this article one more for the heptagon, two more for the triskaidecagon and three for heptadecagon are presented, all using angle trisection.