Before revision:  A first variant, the simple resistar (s-resistar) defines a single star of simplices which share the barycentre of the cube boundary points and include stars of simplices defined similarly in cube facets, and so on recursively until a face boundary points define a single simplex. This definition is simple and easy to apply when the dimensionality increases. However, s-resistars sometimes "glue" together surfaces that should be separated and this deteriorates the local classification performance. The second variant, the multi-boundary resistar (or m-resistar) addresses this problem by defining several simplex stars in a cube or in its faces when necessary, which is shown to increase the local classification performance.
After revision:  A first variant, the simple resistar (s-resistar) defines a single star of simplices which share the barycentre of the cube boundary points and include stars of simplices defined similarly in cube facets, and so on recursively . In a second variant, the Kuhn triangulation is used to break the cubes into simplices and the multi-boundary resistar (or m-resistar) addresses this problem by defining several simplex stars in a cube or in its faces when necessary, which is shown to increase the local classification performance.