Is it possible to map Chebyshev nodes on an arbitrary shape (e.g. in 2D: on a triangle, in 3D: on a cone or pyramid)? The Chebyshev nodes will be used as interpolation points?


  • $\begingroup$ It certainly is possible to consider a Cartesian product of Chebyshev nodes and then find a suitable (conformal?) mapping from the hypercube (square in 2D) to your desired shape (whether this is practical is a different question), but then why not consider the Padua points or Fekete/Lebesgue points instead? $\endgroup$ – J. M. is a poor mathematician Mar 6 at 15:17

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