Well it's a little dream :Prove the Morley's theorem using unconventional method .
The idea is based on origamis and Huzita–Hatori axioms . Well first the idea is to trisecting an angle .This construction is due to Hisashi Abe . So we have an angle divided in $3$ equal angles . Now take the opposite corner take an arbitrary angle and make the same things . Now we have two side of the Morley's triangle . Then the idea is to prove that the other side of the Morley's triangle is formed via the missing trisectrix (last angle of the triangle). Well I have tried it some hours without success .
How to prove the Morley's theorem via the construction due to Hisashi Abe and origami ?
Thanks in advance !!
Ps:I shall open a bounty if there is a nice proof of it .