A symmetric counterexample to Strang's conjecture for bivariate $C^1$ cubic splines on triangulations

2026-10-07来源 arXiv cs.NAEnglish

arXiv:2610.08470v1 Announce Type: new Abstract: We exhibit a triangulation of an equilateral triangle for which the space of bivariate $C^1$ cubic splines has dimension larger than the dimension formula conjectured by Strang. Notably, the triangulation is such that no two edges sharing a vertex are collinear, and the triangulation is invariant under the action of the isometry group ($D_3$) of the equilateral triangle which is triangulated.

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A symmetric counterexample to Strang's conjecture for bivariate $C^1$ cubic splines on triangulations

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