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arXiv · 2511.01611

Envelopes created by sphere families in Euclidean 3-space

Takashi Nishimura·Masatomo Takahashi·Yongqiao Wang
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Abstract

In this paper, on envelopes created by sphere families in Euclidean 3-space, all four basic problems (existence problem, representation problem, problem on the number of envelopes, problem on relationships of definitions) are solved.

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BibTeXRIS

Takashi Nishimura, Masatomo Takahashi, Yongqiao Wang. 2025-11-03. Envelopes created by sphere families in Euclidean 3-space. https://arxiv.org/abs/2511.01611

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