Hello ! Welcome you to Foxwood.

For the Beauty of mathematics contest I wanted to dive back into the world of lighting design but more specifically the mathematical concept of tessellation. 

A tessellation is a special type of tiling (a pattern of geometric shapes that fill a two-dimensional space with no gaps and no overlaps) that repeats forever in all directions. They can be composed of one or more shapes...anything goes as long as the pattern radiates in all directions with no gaps or overlaps. 

Because tessellations repeat forever in all directions, the pattern can't have unique points or lines that occur only once, or look different from all other points or lines. Additionally, a tessellation can't radiate outward from a unique point, nor can it extend outward from a special line.

While any polygon (a two-dimensional shape with any number of straight sides) can be part of a tessellation, not every polygon can tessellate by themselves! Furthermore, just because two individual polygons have the same number of sides does not mean they can both tessellate. In a tessellation, whenever two or more polygons meet at a point (or vertex), the internal angles must add up to 360°. Only three regular polygons (shapes with all sides and angles equal) can form a tessellation by themselves—triangles, squares, and hexagons.

I am keen to design more lighting creations in the future, please following my page for updates and insights into upcoming designs.

The Hex lamp incorporates the Bambu Lab LED Kit 001. The lamp's base discreetly houses a compartment for the LED kit. The installation process is straightforward, insert the LED into the base and rotate the locking cap into place the design does not require glue or fixings

Its easy to print base in colours the suit your style and easy to swap the shade out in the future.

The lamp has been designed without the need for support structures.

Print profile Hex Shade and base - Has the the Hex pattern and the base to hold the LED kit

Print Profile Shade vase mode - Has the internal shade that must be printed in vase mode to work.

I printed them in Basic Bambu PLA

I also have a smaller version with A1 Mini print profiles on my profile if you are interested.

Files on my Maker World are free to download and print for yourself. However If you would like to support my work please check out my Patreon page that has multiple support tiers including commercial licences to sell prints of my designs where ever you like!