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In this primer, we will describe a number of projects that can be completed with a 3D printer, particularly by mathematics professors and their students. For many of the projects, we will utilize Mathematica to design objects that…

历史与综述 · 数学 2013-10-08 Edward Aboufadel , Sylvanna V. Krawczyk , Melissa Sherman-Bennett

3D printing technology can help to visualize proofs in mathematics. In this document we aim to illustrate how 3D printing can help to visualize concepts and mathematical proofs. As already known to educators in ancient Greece, models allow…

历史与综述 · 数学 2013-06-25 Oliver Knill , Elizabeth Slavkovsky

An account of the careers of the five women who completed a doctorate in mathematics in France before 1960 and became internationally known scientists, followed by a more general description of the place of women on the mathematical scene…

历史与综述 · 数学 2015-02-27 Yvette Kosmann-Schwarzbach

We study applications of 3D printing to the broad goal of understanding how mathematical objects vary continuously in families. To do so, we model the varying parameter as the vertical axis of a 3D print, introducing the notion of a static…

历史与综述 · 数学 2022-11-16 Gabriel Dorfsman-Hopkins

This is a case study of teaching 3D design and 3D printing in a project-based computing course for undergraduate math majors. This article discusses content organization, implementation, project grading, and includes a personal reflection.…

历史与综述 · 数学 2022-12-16 Christopher R. H. Hanusa

The 19th century impressionist movement, as a reaction to "art pompier", is proposed as a comparison with modern evolutions in mathematics.

历史与综述 · 数学 2010-11-19 Marius Buliga

We introduce a family of models, which we name matrix models associated with children's drawings -- the so-called dessin d'enfant. Dessins d'enfant are graphs of a special kind drawn on a closed connected orientable surface (in the sky).…

数学物理 · 物理学 2022-02-07 Natalia Amburg , Aleksandr Yu. Orlov , Dmitry Vasiliev

Despite the decades-long history of 3D printing, it is not used to its full potential. Yet 3D printing holds promise for isolated communities, aiming for self-sufficiency. In this experiential study conducted in an analog space habitat we…

人机交互 · 计算机科学 2023-05-17 Wiktor Stawski , Kinga Skorupska , Wiesław Kopeć

Sphericons and D-forms are 3D objects created and described by artists, which have separately received attention in the mathematical literature in the last 15 or so years. The attempt to classify a seamed, crocheted form geometrically led…

历史与综述 · 数学 2021-03-17 Katherine A. Seaton

An overview concerning 3D printing (a.k.a. additive manufacturing) within the context of Science, Technology, Engineering, and Mathematics (STEM) education at the college/university level is provided. The vast majority of quoted papers…

物理教育 · 物理学 2020-01-14 Peter Moeck , Paul DeStefano , Werner Kaminsky , Trevor Snyder

The fundamental role of mathematics as an inspiration for artists, but also as a tool for art creation, is presented in this paper following different art fields, like architecture, sculpture, painting, photography, literature and poetry,…

历史与综述 · 数学 2025-03-06 Maria J. Esteban

Computer Vision and 3D printing have rapidly evolved in the last 10 years but interactions among them have been very limited so far, despite the fact that they share several mathematical techniques. We try to fill the gap presenting an…

计算机视觉与模式识别 · 计算机科学 2023-09-20 Emiliano Cristiani , Maurizio Falcone , Silvia Tozza

Nowadays is very common to find headlines in the media where it is stated that 3D printing is a technology called to change our lives in the near future. For many authors, we are living in times of a third industrial revolution. Howerver,…

仪器与探测器 · 物理学 2017-02-08 L. J. Salazar-Serrano , A. Valencia , J. P. Torres

Mathematical understanding is built in many ways. Among these, illustration has been a companion and tool for research for as long as research has taken place. We use the term illustration to encompass any way one might bring a mathematical…

This study examines the potential of using math-themed postage stamps in mathematics lessons as a tool to engage students and integrate the subject with history, art, and culture. Since the first mathematical stamps appeared in the early…

历史与综述 · 数学 2024-12-31 Nataliya M. Ivanova

Artists spent a great deal of time studying anatomy for precise rendering of the human body as well as light, shadows, and perspective for convincing representation of the three-dimensional world. But in many paintings, they also had to…

科普物理 · 物理学 2022-10-31 R. Krechetnikov

Independent to a great extent from the scientific development of the discipline, a trend for statistics has developed in France, from 1827 on. It was probably sparked by Charles Dupin's 'Carte figurative de l'instruction populaire', with…

历史与综述 · 数学 2014-10-07 Bernard Ycart

We illustrate Archimedes' method using models produced with 3D printers. This approach allowed us to create physical proofs of results known to Archimedes and illustrate ideas of a mathematician who is known both for his for his mechanical…

历史与综述 · 数学 2013-01-29 Oliver Knill , Elizabeth Slavkovsky

We have made an attempt to reproduce 17 objects of the IMAGINARY Open Mathematics Exhibition (www.imaginary.org) using low-cost, desktop 3D printers. The IMAGINARY open math is an international project by the Mathematisches…

计算机与社会 · 计算机科学 2014-09-22 M. Rainone , C. Fonda , E. Canessa

In this study recent drawings made by physics students are investigated. These drawings are part of reports made during experimenting. Aspects of drawings are chosen for investigation that are linked to basic physical notions like…

综合物理 · 物理学 2010-07-19 Harm Hollestelle
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