[size=85] For a given number of n particles on the sphere, their [u][i]extreme[/i] distribution[/u] is found. The maximum sum of distances is found by the method of Lagrange multipliers.[br] Carry out the calculations:[br][b]1.[/b] Set→n: Number of points on the sphere. [b]2.[/b] →Click Input: Initial settings. [b]3.[/b] →Click [b][color=#ff7700]Start[/color][/b]: ☞[br][b]4.[/b] After an automatic stop, the [i]message[/i] "[color=#ff7700][b]Animation[/b][/color]" changes to "[b][color=#1e84cc]Stop[/color][/b]". →Click “[b]Pass a to b[/b]”[/size]

[size=85] This applet [i][u]sorts[/u][/i] and [i][u]finds[/u][/i] the [i]vertices[/i], [i]surface segments[/i], [i]faces[/i], and [i]volume[/i] of the polyhedron and its dual image.[br]Carry out calculations first for [b]1.[/b] [b]Polyhedron[/b] and then for its [b]2.[/b] [b]Dual Polyhedron[/b].[br]After that →“[b]Pass b to c[/b]”[/size]

[size=85] In this section, elements of the polyhedron and its dual image are [u][i]visualized[/i][/u] and[i] [u]colored[/u][/i].[/size][br]

[size=85]*Old Version: [url=https://www.geogebra.org/m/aeqJmSdH]https://www.geogebra.org/m/aeqJmSdH[/url][/size]