Isometric grids for mathematical education

Article was written by Tiago Hands on the 4th August 2017. This is an updated [29.08.2017] version.

Tiago Hands








Hello, and thanks for visiting my website. My name is Tiago Hands and I’m a part-time mathematics student based in the UK. Today I’d just like to briefly bring to your attention the usefulness of isometric grids [1] and how they can improve one’s mathematical skills.

You may not know this, but I love creating art using isometric grids [3]; something which I’ve been doing for 2 years. I discovered that performing this task can greatly enhance my mathematical abilities. This is because isometric grids can help me project shapes in various ways [4] and they also reveal which trajectories they could potentially pass through[5].

[1] An isometric grid emerging out of the flower / seed of life.

[2] The flower / seed of life, which can be produced by hand using a pencil and a pair of compasses…

The flower of life






[3] Isometric grid close up…

[4] Some of my isometric artwork. In this piece of work, the sides of the cubes (diamond shaped) give the illusion of 6 different perspectives.

6 different perspectives






[5] The cubed Penrose triangle demonstrates how objects could move through space and time.

The Penrose Triangle







If you are studying mathematics (like me) and you have to think about planes, cross sections, perspectives, dimensions (length (x), width (y), height (z)) and objects moving through space and time – then I would urge you to consider using isometric grids for your education.

Who knows? If you end up falling in love with these grids – you may even end up producing some isometric artwork of your own.

[7] Me stacking up isometric cubes.

Stacked isometric cubes





[8] The isometric Penrose staircase ‘matrixified’…

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