For instance paper folding may be used for angle trisection and doubling the cube.

For the geometric construction, see angle trisection.

He also wrote papers on angle trisection, matrix inversion, and applications of group theory to formal logic.

The problem of angle trisection reads:

Angle trisection is a classic problem of compass and straightedge constructions of ancient Greek mathematics.

The tomahawk is a tool in geometry for angle trisection, the problem of splitting an angle into three equal parts.

Angle trisection: using only a straightedge and a compass, construct an angle that is one-third of a given arbitrary angle.

This book, aimed at a general audience, examines the history of three classical problems from Greek mathematics: doubling the cube, squaring the circle, and angle trisection.

The general problem of angle trisection is solvable, but using additional tools, and thus going outside of the original Greek framework of compass and straightedge.

Angle trisection is another of the classical problems that cannot be solved using a compass and unmarked ruler but can be solved using origami.

It can be proved, though, that it is impossible to divide an angle into three equal parts using only a compass and straightedge - the problem of angle trisection.

Because it is defined in simple terms, but complex to prove unsolvable, the problem of angle trisection is a frequent subject of pseudomathematical attempts at solution by naive enthusiasts.

In geometry, a limaçon trisectrix (called simply a trisectrix by some authors) is a member of the Limaçon family of curves which has the trisectrix, or angle trisection, property.

Thus compass and straightedge geometry solves second-degree equations, while origami geometry, or origametry, can solve third-degree equations, and solve problems such as angle trisection and doubling of the cube.

Before that it had been a compendium of various failed angle trisection theorems, and before that, an incredibly long list of the powers of ten and the various words that had been invented to describe the astronomical numbers those powers represented.

From his high school days originates an elementary problem - his later construction of regular sevenfold polygon inscribed in a circle otherwise exactly and not approximately with simple solution as an angle trisection which was yet not known in those days and which necessarily leads to the old Indian or Babylonian approximate construction.