Vertex-to-Self Trajectories on the Platonic Solids

오버불파크에서 찍은 현대수학의 면모

Vertex-to-Self Trajectories on the Platonic Solids

We consider the problem of walking in a straight line on the surface of a Platonic solid. While the tetrahedron, octahedron, cube, and icosahedron all exhibit the same behavior, we find a remarkable difference with the dodecahedron.

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수학적 주제

기하학/위상수학

다른 분야와의 연관성

물리학

저자

Jayadev S. Athreya, David Aulicino

라이선스

CC BY-NC-SA-4.0

디지털 객체 식별자(DOI)

10.14760/SNAP-2020-003-EN

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snapshots-2020-003.pdf

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수학적 주제

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해석학

수학교육/교수법

이산수학/수학기초론

기하학/위상수학

수치해석/과학계산

확률론/통계학

다른 분야와의 연관성

화학 및 지구과학

컴퓨터 과학

공학

금융

인문/사회과학

생명 과학

물리학

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