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Buildings are beautiful mathematical objects tying a variety of subjects in algebra and geometry together in a very direct sense. They form a natural bridge to visualising more complex principles in group theory. As such they provide an…

历史与综述 · 数学 2023-09-12 Bram Bekker , Maarten Solleveld

Infographics are a form of data visualization combining data, information, and statistics. Over the last ten years, infographics have become a popular method for displaying concise information, where infographics are a useful tool for…

物理教育 · 物理学 2017-11-28 Ivan Sudakov , Thomas Bellsky , Svetlana Usenyuk , Victoria Polyakova

Despite the difficult circumstances due to the COVID-19 pandemics, physics students can tackle interesting questions that are part of physics competitions as the German Physicists' Tournament (GPT) 2020. Due to the COVID-19 pandemics in…

OpenCAL is a low cost CAL based printing and post processing platform developed using commercial off the shelf (COTS) components and standard rapid prototyping tools. The system incorporates recent advancements in VAM, including Optical…

Traditionally, mathematical knowledge is published in printed media such as books or journals. With the advent of the Internet, a new method of publication became available. To date, however, most online mathematical publications do not…

历史与综述 · 数学 2011-03-01 Markus J. Pflaum , John Tuley

Astronomy, a captivating field that draws upon science, mathematics, and engineering, has traditionally relied on visual representations to convey the wonders of the cosmos. While this approach effectively engages the sighted population,…

天体物理仪器与方法 · 物理学 2025-04-03 Carol Christian , Antonella Nota , Noreen Grice , Thomas Madura , David Hurd

Open containers, i.e., containers without covers, are an important and ubiquitous class of objects in human life. In this letter, we propose a novel method for robots to "imagine" the open containability affordance of a previously unseen…

机器人学 · 计算机科学 2021-02-26 Hongtao Wu , Gregory S. Chirikjian

Most research data collections created or used by astronomers are intrinsically multi-dimensional. In contrast, all visual representations of data presented within research papers are exclusively 2-dimensional. We present a resolution of…

天体物理学 · 物理学 2008-11-26 David G. Barnes , Christopher J. Fluke

Wave optics is a prominent part of the undergraduate physics curriculum, and many undergraduate labs contain experiments on wave optics. In our 3rd-year undergraduate lab, we run numerical simulations alongside the experiments (and when…

物理教育 · 物理学 2025-06-19 Sean Leavey , Johannes Courtial

Our interdisciplinary team Mathematics for Applications in Cultural Heritage (MACH) aims to use mathematical research for the benefit of the arts and humanities. Our ultimate goal is to create user-friendly software toolkits for artists,…

Three-dimensional (3D) visualization has opened up a Universe of possible scientific data representations. 3D printing has the potential to make seemingly abstract and esoteric data sets accessible, particularly through the lens of…

天体物理仪器与方法 · 物理学 2020-12-07 Kimberly Kowal Arcand , Sara Rose Price , Megan Watzke

Nowadays interactive digital scientific environments have become an integral part of scientific computing in solving various scientific tasks in research, but also STEM education. We introduce SageMath or shortly Sage -- a free open…

物理教育 · 物理学 2025-06-23 Dominik Borovský , Jozef Hanč , Martina Hančová

During the last decades, anatomy has become an interesting topic in education---even for laymen or schoolchildren. As medical imaging techniques become increasingly sophisticated, virtual anatomical education applications have emerged.…

图形学 · 计算机科学 2020-11-23 Renata G. Raidou , M. Eduard Gröller , Hsiang-Yun Wu

Magic windows (or mirrors) consist of optical devices with a surface deformation or thickness distribution devised in such a way to form a desired image. The associated image intensity distribution has been shown to be related to the…

A data structure and toolkit are presented here that allow for the description and manipulation of mathematical models of three-manifolds and their interactive display from multiple viewpoints via the OpenGL 3D graphics package. The data…

计算几何 · 计算机科学 2012-01-30 Don V. Black

In the real world, we often come across soft objects having spatially varying stiffness, such as human palm or a wart on the skin. In this paper, we propose a novel approach to render thin, deformable objects having spatially varying…

图形学 · 计算机科学 2020-10-13 Priyadarshini Kumari , Subhasis Chaudhuri

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

In the present work we intend to introduce a system based on VR (Virtual Reality) for examining analytical-geometric structures that occur in the study of mathematics and physics concepts in the last high school classes. In our opinion, an…

物理教育 · 物理学 2021-11-04 Marco Simonetti , Damiano Perri , Natale Amato , Osvaldo Gervasi

In this study, a method to construct a full-colour volumetric display is presented using a commercially available inkjet printer. Photoreactive luminescence materials are minutely and automatically printed as the volume elements, and…

We propose a class of optical transformation media, illusion media, which render the enclosed object invisible and generate one or more virtual objects as desired. We apply the proposed media to design a microwave device, which transforms…

光学 · 物理学 2015-05-14 Wei Xiang Jiang , Hui Feng Ma , Qiang Cheng , Tie Jun Cui