Work

The Raspberries in Three Dimensions with at Most Two Sizes of Berry

Year: 2026
Type: article
Abstract: In three dimensional Euclidean space, a raspberry is defined to be an arrangement of spheres with pairwise disjoint interiors, so that all spheres are tangent to a central unit sphere and is such that the contact graph of the non-central spheres triangulate the central sphere. We discuss the relevance of these structures in other work. We present a catalog of all configurations of radii that permit the formation of raspberries that have at most two sizes of non-central spheres. Throughout we discuss the construction of this catalog.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4415248144
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