[color=#999999][color=#999999][color=#999999]This activity belongs to the [i]GeoGebra book[/i] [url=https://www.geogebra.org/m/dm9prd7h]Attractive projects.[/url][/color][/color][br][br][b]3D project[/b]: [i]create automatic dynamic demonstrations.[/i][br][/color][br]We can generalize the Fermat point, which minimizes the sum of distances to the three vertices of a triangle (geometric median), to space. Now the robot will look for the point that minimizes the sum of distances to the four vertices of a tetrahedron. [br][br](Remember that you can rotate the 3D View with the right mouse button.)

[color=#999999]Author of the construction of GeoGebra: [color=#999999][url=https://www.geogebra.org/u/rafael]Rafael Losada[/url][/color][/color]