Itisprovedthatamongtheregularpolygonswithprimeedges,onlytheregularpolygonswithFermatprimeedgesareconstructablewithcompassandstraightedge.As17isaFermatprimenumber,theconstructionofheptadecagonhasbeendiscussingallthetime.Manydifferentconstructionmethodsareproposedalthoughtheyarebasedonthesametheory.Simplificationoftheconstructionisstillasensibleproblem.Here,weproposeasimplemethodforconstructingregularheptadecagonwiththefeweststeps.Theaccumulationofconstructionerrorsisalsoavoided.Thismethodismoreapplicablethanthepreviousconstruction.
