Regular matchstick graphs on the sphere

Swanepoel, K.ORCID logo (2026). Regular matchstick graphs on the sphere. American Mathematical Monthly, https://doi.org/10.1080/00029890.2025.2599752
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Abstract

We show that the 5-regular matchstick graphs on the sphere are exactly the five 5-regular contact graphs of congruent caps on the sphere found by R. M. Robinson (1969).

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