Hi all,

Me and my group are currently working on a Project at my University, where we test 3D printed Gyroid Cubes. When I saw the math contest I thought this would fit perfectly in here.

The Gyroid Structure is a minimal surface, which means a surface with the locally smallest possible area. Its structure is found in many places in nature, for example in the wings of butterflies.

Mathematically, the gyroid can be described by a complex equation involving sine and cosine functions. The basic form of the equation looks like this: sin(x)cos(y)+sin(y)cos(z)+sin(z)cos(x)=0

This equation defines the points (x, y, z) that lie on the surface of the gyroid.

I created this STL with the help of a programm called Matlab and a script I found online. If you are Interested in the source of the script feel free to message me. 

The Gyroid Structure is mostly used to create lightweight, strong materials. For example this cube can easily hold more than 2500 Newtons with the right print settings, and it has only the Dimensions of 20mm x 20mm x 20mm and weighs approximatly 2,5 grams.

If you scale it up to the size of 75 mm you could use it as a pencil holder for your desk :)

I hope you find this model as interesting as me and leave a like or even download it.

Thank you !