RESEARCH

The model of atoms and molecules ; 3D C.G. on function in Japanese
in English


The construction of regular heptagon
The construction of regular heptagon was discovered by Kiyoshi Takagi, a Japanese, at p.m. 8:50 on Apr.17, 2009.


The following three books will be published in 2016 .

'The universe of complex number' ,
'The construction of regular polygons' ,
'The key solving cubic equation' ,

The construction of regular nonagon

The construction of regular nonagon was discovered by Kiyoshi Takagi at p.m. 8:45 on Aug.17, 2009.



The construction trisecting the angle in a plane
The construction trisecting the angle in a plane was discovered by Kiyoshi Takagi on Jul.24, 2013.
It was published on Sep.4, 2013.

The quadrature of a circle
The quadrature of a circle was discovered by Kiyoshi Takagi on Dec.30,2017.


The duplication of a cube
The duplication of a cube was discovered by Kiyoshi Takagi on Feb.15, 2018.