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Related papers: Illustrating Mathematics using 3D Printers

200 papers

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…

History and Overview · Mathematics 2022-11-16 Gabriel Dorfsman-Hopkins

Mathematical concepts and tools have shaped the field of visualization in fundamental ways and played a key role in the development of a large variety of visualization techniques. In this chapter, we sample the visualization literature to…

Human-Computer Interaction · Computer Science 2019-09-12 Ingrid Hotz , Roxana Bujack , Christoph Garth , Bei Wang

We demonstrate, for the first time, the applicability of 3D printing technique to the manufacture of scintillation detectors. We report of a formulation, usable in stereolithographic printing, that exhibits scintillation efficiency on the…

Materials Science · Physics 2014-06-20 Y. Mishnayot , M. Layani , I. Cooperstein , S. Magdassi , G. Ron

Optical imaging technologies are central to discovery in the life and physical sciences, yet their impact depends on how readily they can be built, adapted, and sustained across laboratories. Digital fabrication, including desktop 3D…

As an important optical component, lens is widely used in scientific inquiry and production. At present, lens manufacturing mainly relies on grinding, polishing and other methods. However, these methods often require expensive equipment and…

Optics · Physics 2024-06-10 Chuanzhu Cheng , Fanru Kong , Yuqing Liu

3D city models - which represent in 3 dimensions the geometric elements of a city - are increasingly used for an intended wide range of applications. Such uses are made possible by using semantically enriched 3D city models and by…

Artificial Intelligence · Computer Science 2012-04-19 Claudine Métral , Nizar Ghoula , Gilles Falquet

Progress in sensor technologies has made three-dimensional (3D) representations of the physical world available at a large scale. Leveraging such 3D representations with analytics has the potential to advance Information Systems (IS)…

Human-Computer Interaction · Computer Science 2023-08-21 Gunther Gust , Tobias Brandt , Otto Koppius , Markus Rosenfelder , Dirk Neumann

This work discusses an approach to teach to mathematicians the importance and effectiveness of the application of Interactive Theorem Proving tools in their specific fields of interest. The approach aims to motivate the use of such tools…

Logic in Computer Science · Computer Science 2020-11-02 Mauricio Ayala-Rincón , Thaynara Arielly de Lima

3D scatterplots are a well-established plotting technique that can be used to represent data with three or more dimensions. On paper and computer monitors they are essentially two-dimensional projections of the three-dimensional Cartesian…

Human-Computer Interaction · Computer Science 2026-01-05 Philippos Papaphilippou , Lucy Hederman

Many mathematicians find mathematics aesthetically beautiful and even comparable to art forms such as music or painting. On the other hand, every year a great number of school students leave mathematics with total disillusionment and…

History and Overview · Mathematics 2022-07-21 Alok Shukla

3D printing, also called additive manufacturing, offers a new vision for optical fabrication in term of achievable optical quality and reduction of weight and cost. In this paper we describe two different ways to use this technique in the…

Instrumentation and Methods for Astrophysics · Physics 2020-11-03 Melanie Roulet , Carolyn Atkins , Emmanuel Hugot , Sabri Lemared , Simona Lombardo , Marc Ferrari

Owing to their intricate variable density architecture, and as a principal site of star formation, molecular clouds represent one of the most functionally significant, yet least understood features of our universe. To unravel the intrinsic…

Instrumentation and Methods for Astrophysics · Physics 2021-09-08 Nia Imara , John C. Forbes , James C. Weaver

Conventional 3D printings are generally time-consuming and printable metal inks are rather limited. From an alternative way, we proposed a liquid phase 3D printing for quickly making metal objects. Through introducing metal alloys whose…

General Physics · Physics 2014-05-02 Lei Wang , Jing Liu

The paper examines the construction of a course in mathematical analysis at a pedagogical university, aimed at developing the ability of future mathematics teachers to detect and solve problems related to finding proofs. Key words: teaching…

History and Overview · Mathematics 2025-03-20 Aslanbek Naziev , Irina Zemlyakova

Data-art exhibitions offer a unique and real-world setting to foster creative visualisation skills among students. They serve as real-world platform for students to display their work, bridging the gap between classroom learning and…

Human-Computer Interaction · Computer Science 2024-08-30 Jonathan C. Roberts

We, as a society, need artists to help us interpret and explain science, but what does an artist's studio look like when today's science is built upon the language of large, increasingly complex data? This paper presents a data…

Human-Computer Interaction · Computer Science 2020-10-20 Bridger Herman , Francesca Samsel , Annie Bares , Seth Johnson , Greg Abram , Daniel F. Keefe

It is not commonly realized that the algebra of complex numbers can be used in an elegant way to represent the images of ordinary 3-dimensional figures, orthographically projected to the plane. We describe these ideas here, both using…

Metric Geometry · Mathematics 2010-12-01 Michael Eastwood , Roger Penrose

The development of Information and Communication Technologies suggests some spectacular changes in the methods used for teaching scientific subjects. Nowadays, the development of software and hardware makes it possible to simulate processes…

Physics Education · Physics 2007-05-23 Marcos H. Gimenez , Ana Vidaurre , Jaime Riera , Juan A. Monsoriu

A lot of attention in supply chain management has been devoted to understanding customer requirements. What are customer priorities in terms of price and service level, and how can companies go about fulfilling these requirements in an…

Computers and Society · Computer Science 2014-05-06 Henrik J Nyman , Peter Sarlin

The purpose of this short paper is to describe a project to manufacture a 3D-print of a pendant that includes a logo. The methods described in this paper involve processing the image of the logo through a Mathematica script. These methods…

History and Overview · Mathematics 2015-07-14 Edward F. Aboufadel