The Raspberries in Three Dimensions with at Most Two Sizes of Berry
Abstract
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.
Fields of Study & Subjects
Horticultural and Viticultural Research
Berry genetics and cultivation research
Plant Physiology and Cultivation Studies
Publication details
- Journal / source
- Discrete & Computational Geometry
- Publisher
- Springer Science and Business Media LLC
- Volume
- 76
- Issue
- 2
- Pages
- 1212–1237
- Publication date
- 29 June 2026
- Language
- EN