Some Impossible Infinite Shapes

A corner of the impossible triangle I drew in November 2023.

I was recently cleaning through my room and I found my art class Portfolios from 2023–2025, and I found one of my favourite physical pieces that I have ever made, which was for an assignment that I finished on November 3, 2023.

For the assignment we had to draw something to practice blending with coloured pencils, and I wanted to create something that used the entire range of hues in a unique format.

What I ended up doing was that I drew a shape called the Penrose Triangle, which is a shape that looks 3-dimensional but is impossible to actually create in our Euclidean world. It's an optical illusion and one of my favourites, and it's something I've always loved to doodle, so I decided to draw one and colour it with all hues blending into each other, creating a loop!

My original infinite triangle drawing from 2023-11-03. It's a Penrose triangle that has all hues going across it in a loop.

Ever since I first made it I've thought about creating a digital vectorized version of it, but I never got around to it — until now! So along with it I am also sharing this version I made a few days ago. I also wanted to mimic the thick black outline and light grey border from the original.

Although I still prefer the original version as it was extremely fun to do and helpful at getting me to learn the technique, I still like having a clean vectorized version of it as well.

A Penrose Triangle that goes across all hues in a loop.

Additionally, since I already had quite a bit of experience of drawing this shape, I wanted to challenge myself and try to draw a different and more complicated impossible shape: An Impossible Star (I don't know its official name, sorry).

This is the same sort of thing but in the shape of a pentagonal star (pentagram). It's a bit more complicated to make, and I definitely don't feel confident doing it on paper since I'm not that precise, but if you just sketch out the entire shape with all its intersections and then divide them properly it's not that bad!

An Impossible Star that goes across all hues in a loop.

I am quite proud of all of these, and I hope you also found them interesting!