Skip to main content

Construction and Analysis of Kepler’s Cosmographic Mystery, for Learning the Platonic Solids Using Mathematica

  • Conference paper
  • First Online:
Proceedings of Seventh International Congress on Information and Communication Technology

Abstract

This research work revolves around the need to learn regular polyhedral constructions and find the relationships that exist with the spheres that inscribe them in the structure of Kepler’s Cosmographic Mystery. We often do not realize that polyhedra are present in almost everything around us, and that throughout history, man has been fascinated by Platonic solids. At present, students live in reverse in the massive use of electronic equipment in their learning, as well as software and applications. Given the high demand for the acquisition of digital skills worldwide, students can be motivated to strengthen their learning of mathematics and acquire programming skills by observing, analyzing and arguing a programming strategy to design the Cosmographic Mystery of Kepler, also the existing relationships in the structure under study. Therefore, through this work, it is intended to provide the teacher with resources and programming skills for the teaching of regular polyhedra. Mathematica software has been considered for its high programming and display quality. In addition, the Wolfram programming language is accessible through the Raspberry computer. The objective of the research work is to provide a working methodology for the study of regular polyhedra and acquire programming skills. Also, strengthen their observation and analysis skills from their models for the design of Platonic polyhedra through the programming language, allowing students to explore 3D spaces.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Coronado G (1995) Kepler y el misterio del Cosmos. Rev. Filosofía. Costa Rica XXXIII(81):137–142. http://www.inif.ucr.ac.cr/recursos/docs/Revista%20de%20Filosof%C3%ADa%20UCR/Vol.XXXIII/

  2. Mayorga M, Gallardo M, Jimeno M (2015) Diagnostic evaluation in Andalusia: a study of the assessments in the skills in mathematics. Aula Abierta vol 43. https://doi.org/10.1016/j.aula.2014.07.001

  3. Cromwell P (2004) Polyedra. University Press, Cambridge

    Google Scholar 

  4. Godino J, Batanero C (2011) Formacin de profesores de matemÃąticas basada en la reflexiÃşn guiada sobre la prÃctica. En L. Serrano (ed), Tendencias actuales de la investigaciÃşn en educaciÃn estocÃąstica, pp 9-33. MÃąlaga: Universidad de Granada. http://www.ugr.es/~batanero/pages/ARTICULOS/libroluis.pdf#page=9

  5. Velezmoro León R, Velásquez Fernández M, Jiménez Gomez J (2020) Construction of the regular dodecahedron with the MATHEMATICA. In: Gervasi O et al (eds) Computational science and its applications âĂŞ ICCSA 2020. ICCSA 2020. Lecture notes in computer science, vol 12249. Springer, Cham. https://doi.org/10.1007/978-3-030-58799-4_27

  6. GÃven B, Kosa T (2008) The effect of dynamic geometry software on student mathematics teachersâĂŹspatial visualization skills. Turk Online J Educ Technol 7(4):100–107https://files.eric.ed.gov/fulltext/EJ1102930.pdf

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Felícita M. Velásquez-Fernández .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Velásquez-Fernández, F.M., Jiménez-Vilcherrez, J.K., Arellano-Ramírez, C.E., Ipanaqué-Chero, R., Velezmoro-León, R. (2023). Construction and Analysis of Kepler’s Cosmographic Mystery, for Learning the Platonic Solids Using Mathematica. In: Yang, XS., Sherratt, S., Dey, N., Joshi, A. (eds) Proceedings of Seventh International Congress on Information and Communication Technology. Lecture Notes in Networks and Systems, vol 448. Springer, Singapore. https://doi.org/10.1007/978-981-19-1610-6_73

Download citation

  • DOI: https://doi.org/10.1007/978-981-19-1610-6_73

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-1609-0

  • Online ISBN: 978-981-19-1610-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics