Make triangle and tetrahedron calls library
orientated, each requiring a reference.
Reimplement triangle.
Implement triangle3D.
Implement tetrahedron.
Investigate centers of tetrahedron with
tetrahedrondisplaytest.
The aim is to have triangledisplaypoints project
the triangles centers as points onto arbitary
triangular faces in 3D. This could provide clues
as to how to construct centers for the tetrahedron.
Not so much success finding centers for tetrahedrons.
Look at the 2D methods and generalize them to 3D.
Calculate the Nagel point.
The Nagel point for each side finds the circle
bounded by the half spaces of the side, left and right
edges extended. How is the circle center solved?
Then find the intersection of the cirle with the side
to generate Q1,Q2,Q3.
The lines through these points and the opposite
points intersect at the unique Nigel point.
Morley's Theorem
Trisectors partition a wedge in 3. The intersection of
the trisectors from each triangle vertex wedge forms
an equilateral triangle. Display. Consider how
this can be used to generate centers as then the question
becomes what centers can be generated from equilateral triangles?
Extend this to 3D. Is there a partition that forms an
equilateral tetrahedron?
Primitive Shape Centers
