Editing Circumscribed sphere (section)

==Point on the circumscribed sphere==
There are five convex [[regular polyhedra]], known as the [[Platonic solids]]. All Platonic solids have circumscribed spheres. For an arbitrary point <math>M</math> on the circumscribed sphere of each Platonic solid with number of the vertices <math>n</math>, if  <math>MA_i</math> are the distances to 
the vertices <math>A_i</math>, then<ref name=Mamuka >{{cite journal| last1= Meskhishvili |first1= Mamuka| date=2020|title=Cyclic Averages of Regular Polygons and Platonic Solids |journal= Communications in Mathematics and Applications|volume=11|pages=335–355|doi= 10.26713/cma.v11i3.1420|doi-broken-date= 1 November 2024|arxiv= 2010.12340|url= https://www.rgnpublications.com/journals/index.php/cma/article/view/1420/1065}}</ref>
:<math>4(MA_1^{2}+MA_2^{2}+...+MA_n^{2})^2=3n(MA_1^{4}+MA_2^{4}+...+MA_n^{4}).</math>