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Trivalent Discrete Surfaces

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Trivalent Discrete Surfaces and Carbon Structures

Part of the book series: SpringerBriefs in the Mathematics of Materials ((BRIEFSMAMA,volume 5))

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Abstract

In the previous chapter, we explained “negatively” curved carbon structure; however, the definition of negativity is that the total curvature or the Euler number is negative. Since the Gauss curvature of smooth surfaces is a function defined on each point of the surface, it is not sufficient to say that the discrete surface is negatively curved.

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Correspondence to Hisashi Naito .

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Naito, H. (2023). Trivalent Discrete Surfaces. In: Trivalent Discrete Surfaces and Carbon Structures. SpringerBriefs in the Mathematics of Materials, vol 5. Springer, Singapore. https://doi.org/10.1007/978-981-99-5769-9_5

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