From ancient times, humans have projected objects from three-dimensional Euclidean (3D space) into two-dimensional Euclidean (2D space). The techniques for making such projections have been formalized with the development of descriptive geometry. It was to be expected that similar techniques would be proposed to project objects from four-dimensional space (4D space) to three-dimensional space (3D space). This paper provides simplified codes developed in the Wolfram Language to visualize projections of objects from 4D space onto 3D space. These codes are entirely compatible with the Wolfram Language. They are expected to become valuable tools for the interested reader to project various mathematical objects that inhabit 4D space.

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Simplified Code in Wolfram Language to Project Objects from Four-Dimensional to Three-Dimensional Euclidian Space

  • Ricardo Velezmoro-León,
  • Segundo B. Correa-Erazo,
  • Guillermo C. González-Creollo,
  • Robert Ipanaqué-Chero,
  • Luis A. Anto-Mimbela

摘要

From ancient times, humans have projected objects from three-dimensional Euclidean (3D space) into two-dimensional Euclidean (2D space). The techniques for making such projections have been formalized with the development of descriptive geometry. It was to be expected that similar techniques would be proposed to project objects from four-dimensional space (4D space) to three-dimensional space (3D space). This paper provides simplified codes developed in the Wolfram Language to visualize projections of objects from 4D space onto 3D space. These codes are entirely compatible with the Wolfram Language. They are expected to become valuable tools for the interested reader to project various mathematical objects that inhabit 4D space.