##  [Steiner Symmetrization](/index.php/steiner-symmetrization) 

  ##  [Steiner Symmetrization](https://puremath.quantumdictionary.io/steiner-symmetrization-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A geometric rearrangement procedure that replaces a measurable set in Euclidean space by a set whose slices perpendicular to a chosen line or hyperplane are replaced by symmetric intervals (or balls) centered on that line or plane, preserving volume while typically reducing perimeter or certain energies.