matematicas visuales visual math

Steiner deltoid and Morley triangle

The three cuspidal points of the Steiner deltoid are the vertices of an aquilateral triangle.

The sides of this equilateral triangle are parallel to those of the Morley triangle and its orientation is inverse.

We can see the relation between the deltoid and de Morley triangle in a general case moving the vertices of the triangle.

LINKS

Steiner deltoid
Steiner deltoid
All the Wallace-Simson lines form a deltoid (Steiner Deltoid).
Morley triangle
Morley triangle
If we trisect the angles of a triangle and consider the three intersection points of corresponding trisector lines we always get an equilateral triangle (Morley's triangle)