Visualizing Complex Crystal Structures for Constructive Mathematics Experiences
Additional Funding Sources
The research described was supported by Boise State University.
Presentation Date
7-2020
Abstract
We have created multiple interactive Graphic User Interfaces (GUIs) of crystal structures to improve presentation of mathematical concepts. Crystal structure is selected due to it being naturally entwined with symmetry and relevant in real life. Our GUIs contain various common crystal structures taught in introductory material science class, such as Cubic, Face Centered Cubic (FCC), Body Centered Cubic(BCC) and Perovskite. The GUIs contain different widgets and toggles for students to manipulate the environment. The widgets can adjust various structural parameters, such as atomic size, bond distance, and repetition numbers. The modified crystal structure can be 3D printed by exporting to a STL file, a standard lithography 3D printing file format. By using all of these tools in tandem, students can both gain a deeper understanding of mathematical concepts, as well as demonstrate connections of mathematics in nature.
Visualizing Complex Crystal Structures for Constructive Mathematics Experiences
We have created multiple interactive Graphic User Interfaces (GUIs) of crystal structures to improve presentation of mathematical concepts. Crystal structure is selected due to it being naturally entwined with symmetry and relevant in real life. Our GUIs contain various common crystal structures taught in introductory material science class, such as Cubic, Face Centered Cubic (FCC), Body Centered Cubic(BCC) and Perovskite. The GUIs contain different widgets and toggles for students to manipulate the environment. The widgets can adjust various structural parameters, such as atomic size, bond distance, and repetition numbers. The modified crystal structure can be 3D printed by exporting to a STL file, a standard lithography 3D printing file format. By using all of these tools in tandem, students can both gain a deeper understanding of mathematical concepts, as well as demonstrate connections of mathematics in nature.