An Inverse Method of the Natural Setting for Integer, Half-integer and Rational "Perfect" Hypocycloids

Proceedings of the 9th Illia O. Teplytskyi Workshop on Computer Simulation in Education (CoSinE 2021) co-located with 17th International Conference on ICT in Education, Research, and Industrial Applications: Integration, Harmonization, and Knowledge Transfer (ICTERI 2021), Kherson, Ukraine, October 1, 2021

“…This article highlights further research by the author, begun in [101,102,103,104,105]. Currently, augmented reality is one of the most actively developing technologies, which has also found its application in the field of education.…”

1st Symposium on Advances in Educational Technology: Outlook

“…This article highlights further research by the authors, begun in [227,228,230]. Another article "An inverse method of the natural setting for integer, half-integer and rational "perfect" hypocycloids" [231] by Zarema S. Seidametova (figure 30) and Valerii A. Temnenko describes a family of remarkable curves (integer and half-integer hypocycloids and rational https://doi.org/10.55056/etq.53 perfect hypocycloids) given in an inverse-natural form using a simple trigonometric relation 𝑠 = 𝑠(𝜒), where 𝑠 is the arc coordinate and 𝜒 is the angle defining the direction of the tangent. In the paper authors presented all perfect hypocycloids with the number of cusps 𝜈 ≤ 10.…”