3-D printed models of a tesseract in the double orthogonal projection and 4-D perspective

Abstract

We describe 3-D printed models of a tesseract in the double orthogonal projection and perspective in the 4-space.The double orthogonal projection consists of orthogonal projections of 4-space onto two mutually perpendicular orthogonal 3-spaces. The 4-D perspective is developed analogically from the 3-D linear perspective.

Our goal is to explore a tesseract through senses of vision and touch on 3-D printed models.

Keywords

• 3-D printing
• double orthogonal projection
• four-dimensional perspective