Coasters from azimuthal-equidistant perspectives
The coasters of Lufo Art are not just coasters with nice drawings: they are products based on azimuthal-equidistant perspectives. What does that mean? You can read about it below, but first click on your coaster to navigate the drawing at 360º:
How were these drawings made?
The coasters’ drawings are azimuthal-equidistant perspectives. The original drawings were made in equirectangular perspective (Figure 1), but we can easily switch between these two perspectives because both are just different ways of doing the same: flattening (i.e., mapping) the content onto a spherical surface.
If you are curious about these equivalences, I can recommend you to read:
- this article about equirectangular perspectives;
- this article and this article by A. B. Araújo. The first one is a complete guideline for drawing in azimuthal-equidistant perspective and the second for drawing in equirectangular perspective.
Equirectangular, azimuthal-equidistant and cubical perspectives
From both the azimuthal-equidistant and the equirectangular perspective there is also the possibility to switch to a cubical perspective. To a cube? Yes, that was both my question and my face when I first heard about it. However, yes, it is possible, and it’s related to a concept from mathematics called “homeomorphism”. I learned about things like these working with the greatest advisor ever: A. B. Aráujo.
Indeed, A. specialises on topography and he has applied all his brain on immersive drawings. I have learned and researched about the equivalence between the equirectangular, azimuthal-equidistant and the cubical perspectives with him since 2018. You can see my articles about cubical perspective and immersive drawings here, and read my PhD thesis here: