I enhanced the "now-not-always-so-triangulated" #triangle #grid #generator created with #blender #geometrynodes
#trianglegrid #equilateral #blender3d #b3d

#Napoleon's #Theorem is a fascinating result in #Geometry that states - If #Equilateral #Triangles are constructed on each side of any triangle (either all outwards or all inwards), the centers of those equilateral triangles themselves form an equilateral triangle.

https://knowledgezone.co.in/kbits/6763e3a56d29c0e52d121752

Napoleon's Theorem

Napoleon's theorem is a fascinating result in geometry that states - If equilateral triangles are constructed on each side of any triangle (either all outwards or all inwards), the centers of those equilateral triangles themselves form an equilateral triangle.

Knowledge Zone
In his further-provided commentary on Proposition 1, the most sharp-sighted Campanus writes that "if, however, it is pleasing to assemble the remaining two types of triangles over that same line, there would be, it follows, a triangle with two equilateral sides and a triangle of three unequal sides..." and then continues on explaining how to do just precisely that.
#CampanusOfNovara #EuclideanGeometry
#ambligonius #oxigonius #equilateral