On the Gasca-Maeztu conjecture in \(\mathbb R^3\). (English) Zbl 1321.51014
Summary: We show that the \(\mathrm{GM}_d\) conjecture is true for \(\Pi^3_2\), or, in other words, for every 10-point GC set in \(\mathbb R^3\) there is a plane, which passes through 6 points of that set.
MSC:
| 51M04 | Elementary problems in Euclidean geometries |
| 65D18 | Numerical aspects of computer graphics, image analysis, and computational geometry |
