[AntonioLao]

In general, it is not possible to trisect an angle? Trisecting a 90° angle is trivial. However, by the use of straight edges that are without any calibrations and by the use of compasses, it is still impossible to construct 1/3 and 2/3 of a given arbitrary angle. A simple proof for an angle of 20° was demonstrated by Benjamin Bold in his book ‘Famous problems of Geometry and How to Solve them’, 1969.

Again the implication is fundamental that 1/3 and 2/3 ratio and proportions hide a subtly beautiful mathematical truth of which its physical utility is still waiting for a practical application such as cold fusion by way of Casimir plate separations.

[baudrunner]

Is the problem still proposed for simply creating an angle which is one-third of any angle other than 90° out of the angle without actually trisecting it? If so, then a transformation algorithm could place it there.

[AntonioLao]

Originally Posted by baudrunner then a transformation algorithm could place it there

Unless there is convincing mathematical demonstration, I still cannot agree that a transformation exists for trisecting an arbitrary angle except when it is a right angle.