ABSTRACT
Egglipse was first explored by Maxwell, but Descartes discovered a way to modify the pins-and-string construction for ellipses to produce more egg-shaped curves. There have been no examples of serious scientific and practical applications of three-foci ellipses until now. This situation can be changed if porcelain and ellipses are combined. In the introduced concept of the egg-ellipse, unexplored points are observed. The new three-foci ellipse with an equilateral triangle, a square and a circle as “foci” are presented for this application and can be transformed by animation. The new elliptic-hyperbolic oval is presented. The other two similar curves, hyperbola and parabola, can be also used to create new porcelain designs. Curves of the order of 3, 4, 5, etc., are interesting for porcelain decoration. An idea of combining of 3D printer and 2D color printer in the form of 2.5D printer for porcelain production and painting is introduced and listing functions in Mathcad are provided. The Study is based on the author’s article in the Journal Symmetry.
Keywords: Ellipse; parabola; hyperbola; elliptic-hyperbolic oval; 2.5D printer; augmented reality; programming; graphics; animation.
Mathematics: Ellipse, parabola, hyperbola.
Physics: Porcelain production.
IT: Augmented reality, programming, graphics, animation.
Art: Porcelain decoration.
Study website: https://community.ptc.com/t5/PTC-Mathcad/NewEllipse/m-p/583575" xmlns:xlink="https://www.w3.org/1999/xlink">https://community.ptc.com/t5/PTC-Mathcad/NewEllipse/m-p/583575.
