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The raspberries in three dimensions with at most two sizes of berry

The raspberries in three dimensions with at most two sizes of berry

来源:Arxiv_logoArxiv
英文摘要

In three dimensional Euclidean space, a raspberry is defined to be an arrangement of spheres with pairwise disjoint interiors, where all spheres are tangent to a central unit sphere and such that the contact graph of the non-central spheres triangulates the central sphere. We discuss the relevance of these structures in related 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.

数学

.The raspberries in three dimensions with at most two sizes of berry[EB/OL].(2025-05-06)[2025-05-17].https://arxiv.org/abs/2505.03408.点此复制

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