Jewellery from tessellations of hyperbolic space

오버불파크에서 찍은 현대수학의 면모

Jewellery from tessellations of hyperbolic space

In this snapshot, we will first give an introduction to hyperbolic geometry and we will then show how certain matrix groups of a number-theoretic origin give rise to a large variety of interesting tessellations of 3-dimensional hyperbolic space. Many of the building blocks of these tessellations exhibit beautiful symmetry and have inspired the design of 3D printed jewellery.

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수학적 주제

대수학/정수론

기하학/위상수학

저자

Herbert Gangl

라이선스

CC BY-SA-4.0

디지털 객체 식별자(DOI)

10.14760/SNAP-2022-005-EN

PDF 다운로드

application/pdf

snapshot-2022-005.pdf

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Representations and degenerations

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The Robinson–Schensted algorithm

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Quantum symmetry

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Profinite groups

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수학적 주제

대수학/정수론

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

수학 전반에 대한 소고

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