[color=#999999]This activity belongs to the [i]GeoGebra book[/i] [url=https://www.geogebra.org/m/sw2cat9w]GeoGebra Principia[/url].[/color][br][br] [br]Elastic geometry allows us to find equilibrium situations between different forces. An interesting application is tensegrity structures, composed of bars and tensioned cables that hold them together.[br][br]When we connect different vertices, we obtain the [i]graph [/i]of this set of vertices [[url=https://www.geogebra.org/m/sw2cat9w#material/er8nf4qt]25[/url]]. But if the connections are made up of bars and springs, we can achieve that in certain positions, the tension of the springs balances out in a stable structure, called a [i]tensegrity [/i][url=https://en.wikipedia.org/wiki/Tensegrity][img]https://www.geogebra.org/resource/scjbyz2p/0tuzuVw455vxurEw/material-scjbyz2p.png[/img][/url]. [br] [br]Here is an example in the plane. Because the rhombus is a parallelogram, the forces at each vertex cancel out, so the structure remains in stable equilibrium in any position, as long as the horizontal and vertical tensions are equal.

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