A new, free online service uses complex math to generate unique 3D models.
Meti•kumi is a well-known 3D designer that has produced dozens of fascinating 3D printable models offered online. Most of these items are household utility or decorative pieces, and most have terrific documentation on the Meti•kumi site.
A new feature on the website is a “Tools” section, and the first tool is the “Function Playground”.
The Function Playground is designed to automatically generate vase 3D models using a simplified math matrix approach. Users are able to select from a wide range of functions (hence the service name) to customize the generation, and all the computation occurs locally in your web browser.
At first glance, the tools seem pretty complicated, especially to those without a background in mathematics. However, the concepts behind the generation are easily understood.
The user specifies a mathematical function in the 4 x 4 matrix, which is then called for each point in the vase. The points are defined by vertical height and angle around the central axis. The function generates radial and angular offsets for each point, which all add up into a proper vase.
The page then lets you export the resulting 3D model in STL format for 3D printing. Note that the vase will be fully solid and must be printed in “Vase Mode” or equivalent on your slicing software.
The easiest way to get started is to load one of the several examples and then tweak the settings. This lets you start to understand what’s happening with the mathematical function. Over time, you’ll be able to create completely unique vase designs that have never been seen before.
For some, the limitation of four equations might be seen as limiting. However, Meti•kumi correctly explains:
“The grid you see here is intentionally small. While it’s tempting to go big, working within a limited space can often spark more creativity. Constraints tend to lead to the most imaginative results.”
If you’re interested in making your own complex 3D printable vases, the Function Playground is where you need to go.
Via Meti•kumi
