Klein Bottle Diamond Lattice

Klein Bottle - Diamond Lattice.stl

Easter Eggshell 1

Eggshell 1 Gyroid.stl

Knit Knot

A knitted trefoil knot. A knit knot knick knack. 

See here for video: https://youtu.be/YtF-VXOyzrY 

This design is sponsored by Resins3D. Models shown are printed on an Elegoo Saturn 2 with Phrozen Dental Study white resin.

AI generated description:

"This is a 3D model named 'Knit Knot Knick Knack' available on Thangs.com. The model represents a charming and creative interpretation of the aesthetics of knot designs, resonating the essence of a knit pattern. It is intricately crafted that manifests a convoluted, circular knot resting on a rectangular base. The twisted and looped feature of the model offers a unique visual appeal and dynamism, demonstrating the beauty of the complexity. 
Ideal for decor enthusiasts, the 'Knit Knot Knick Knack' model can be 3D printed and used as a tabletop decor artifact or paperweight. If you're interested in modeling complex geometric patterns, or want to enhance your 3D printing collection, this model is a great choice.  It can prove to be a fun and challenging print. Download it today and experiment designing with it!"

Morton’s Rolling Knot

Mortons Knot Textured.stl

Nautilus Shell Cross Section

This cross-section model of a nautilus shell demonstrates one of the nicest natural examples of a logarithmic spiral.

See here for video: https://youtu.be/pzPjslekszg 

Print as oriented to get nice, crisp lines on the inner chambers. Raise the model off the build plate 3mm or so and generate tree supports underneath to support the contoured bottom surface.


Chain Link Klein Bottle

This model uses chain link latticing to represent a three-dimensional approximation of the four-dimensional “Klein Bottle.”

See here for video: https://youtu.be/AWJ-R3GBT80 

The concept of a Klein bottle was first described in 1882 by the German mathematician Felix Klein. It is a closed non-orientable surface that has no inside or outside. It is similar to the Möbius strip, but unlike the Möbius strip it has no boundaries and cannot physically exist in three-dimensional space.

In this three-dimensional representation, the surface intersects with itself, but in four-dimensional space the self-intersection can be eliminated. Unfortunately, I don’t have a 4D printer yet.

Modelling this intriguing shape in chain link latticing allows for visualization of the whole surface.


Hole Through a Hole in a Hole

Hole Through a Hole in a Hole.stl

Easter Eggshell 9

Eggshell 9 Hexagonal.stl

Rounded Hilbert Panels - Full Height

Rounded Hilbert Panel - Full Height 200mm 1.stl

Easter Eggshell 3

Eggshell 3 Rotated Square.stl

Turritellid Seashell (long)

Some simple seashells based modelled from the common Turritellid seashell. 

See here for video: https://youtu.be/dUEOYucI38k 

The small spiral has six logarithmic revolutions; the large spiral has ten logarithmic revolutions.

Small:
Large:

Print as oriented with the larger end down. Raise the model off the build plate about 3mm and generate tree supports underneath. It is best to print at least two at a time for best results.

AI generated description:


math art

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Klein Bottle Diamond Lattice

Easter Eggshell 1

Knit Knot

Morton’s Rolling Knot

Nautilus Shell Cross Section

Chain Link Klein Bottle

Hole Through a Hole in a Hole

Easter Eggshell 9

Rounded Hilbert Panels - Full Height

Easter Eggshell 3

Turritellid Seashell (long)

Easter Eggshell 7

Easter Eggshell 2

Topology Tiles – Hex

Turritellid Seashell (short)

Plain Seashell for Remixing

Easter Eggshell 5

TPMS Finial Ornament - Horizontal Gyroid

Easter Eggshell 4

Topology Tiles – Square