This conceptual shoe design demonstrates how nTopology can be used to incorporate complex triply period minimal surfaces (TPMS) into CAD objects. See here for video: https://youtu.be/yAXaCHmYq3g 

The basic structure of the shoe is designed parametrically in Onshape.

Three different orientations of the gyroid TPMS are incorporated into the upper, midsole and outsole using nTopology’s conformal cell maps. Thickening and blending of boundary edges are done using field driven design.


Gyroid Shoe Conceptual Design

Gyroid Shoe Conceptual Design.stl

This fruit bowl is derived from the gyroid triply periodic minimal surface. The “Flat Base Insert” allows placement of a candle or other object.
See here for video: https://youtu.be/1cJo_DEOH2M 
This model was designed using nTopolopgy.


Minimal Surface Fruit Bowl

Minimal Surface Fruit Bowl.stl

Stash your treats in these decorative Easter Eggshells! Contents are secured inside with a threaded insert on the bottom. 
See here for video: https://youtu.be/bnmHGWe-gvg 
This design is part of a set of ten decorative Easter Eggshells entered into the Spring 2022 Thangs #MakerMadness design competition. 
The latticing and surfaces were designed using nTopology. Here’s a bit more information on each model:
Eggshell 1: Surface derived from the gyroid TPMS
Eggshell 2: Lattice derived from the Kelvin graph
Eggshell 3: Rotated Square Honeycomb
Eggshell 4: Surface derived from the SplitP TPMS
Eggshell 5: Surface derived from the gyroid TPMS (different orientation then Eggshell 1)
Eggshell 6: Lattice derived from a cluster of columns
Eggshell 7: Surface derived from the Schwarz diamond TPMS
Eggshell 8: Surface derived from the Fischer-Koch S TPMS
Eggshell 9: Hexagonal Honeycomb
Eggshell 10: Surface derived from the Schoen F-RD TPMS


Easter Eggshell 1

Eggshell 1 Gyroid.stl

This "Spring Bulb" is part of a series of nine bulb-shaped LED covers that use mathematical surfaces, lattices, and honeycombs to create interesting shapes and shadows. This “Spring Bulb 1” design is derived from the Gyroid TPMS (conformal to face).
See here for video: https://youtu.be/YckakI1aWEg 
The portion of the “Threads” object that fits inside the “Spring Bulb” is designed to accept a G4 socket with a 12VDC Feit Electric LED Desk Light Bulb. The inner diameter of the socket seat is 18mm, so it will easily accept a range of low temperature LED lights. 
The outer threads of the bulb will fit into a standard E-26 light bulb base. If you do choose display or use this bulb in a standard socket, be sure that the 120VAC power has been disconnected! 
The rest of the “Spring Bulbs” in the series are derived from the follow mathematical forms:
1.	Gyroid TPMS (conformal to face)
2.	Square Honeycomb (conformal to face)
3.	Diamond TPMS (conformal to face)
4.	Gyroid (Volume fill)
5.	Face Centered Cubic Lattice (conformal to face)
6.	SplitP TPMS (conformal to face)
7.	SplitP TPMS (Volume fill)
8.	Diamond TPMS (Volume fill)
9.	Hex Honeycomb (conformal to face)
These bulbs were designed using nTopology.


Spring Bulb 1

1 Barely Bulb Gyroid Wall.stl

This “Serpentes nTopologus Gyroidicus” is part of a series of three articulating snakes demonstrating various ways that nTopology can be used to design unique topology within complex designs. It incorporates the gyroid TPMS into the body of the snake.

See here for video: https://youtu.be/z7fLPr0367s 

These topology snakes use a unique print-in-place ovoid joint designed to maximize available volume and surface area for other design elements.

This joint type is stronger than the interlocking double ring joints used in many articulated designs, so this design is more suitable for use as a fidget or children’s toy.

These snakes are 72cm in length but will print on a 220mm x 220mm build plate.

Like a “ball and socket” joint, the oval-shaped ovoid from one segment is held in place by a similarly shaped socket in the neighbouring segment. Varying the relative dimensions of the ovoid and socket allows for precise control of the movement between each segment. In this design, lateral side-to-side movement is maximized, but rotation and up/down movement is slightly restricted. This more accurately mimics the “tone” and movement patterns of a real snake.

You may get some small adhesions between segments. Simply apply a bit of force to move the joint the first time, and it will be fine after that.

See here for other topology snakes in the series:
Serpentes nTopologus Gyroidicus (gyroid): https://thangs.com/mythangs/file/66107 
Serpentes nTopologus Hexhoneycombus  (Hexagonal Honeycomb): https://thangs.com/mythangs/file/66109 
Serpentes nTopologus Voronoicus (Voronoi Volume Infill): https://thangs.com/mythangs/file/66110

See here for video of similar textured snakes: https://youtu.be/8fIhzqsQP_k 

See here for stable downloads of textured snakes:
Bubble Boa: https://thangs.com/mythangs/file/62591 
Voronoi Viper: https://thangs.com/mythangs/file/62593 
Knurled Nightcrawler: https://thangs.com/mythangs/file/62592 


Serpentes nTopologus Gyroidicus

This “Serpentes nTopologus Gyroidicus” is part of a series of three articulating snakes demonstrating various ways that nTopology can be used to design unique topology within complex designs. It incorporates the gyroid TPMS into the body of the snake.

See here for video: https://youtu.be/z7fLPr0367s 

These topology snakes use a unique print-in-place ovoid joint designed to maximize available volume and surface area for other design elements.

This joint type is stronger than the interlocking double ring joints used in many articulated designs, so this design is more suitable for use as a fidget or children’s toy.

These snakes are 72cm in length but will print on a 220mm x 220mm build plate.

Like a “ball and socket” joint, the oval-shaped ovoid from one segment is held in place by a similarly shaped socket in the neighbouring segment. Varying the relative dimensions of the ovoid and socket allows for precise control of the movement between each segment. In this design, lateral side-to-side movement is maximized, but rotation and up/down movement is slightly restricted. This more accurately mimics the “tone” and movement patterns of a real snake.

You may get some small adhesions between segments. Simply apply a bit of force to move the joint the first time, and it will be fine after that.


See here for video of similar textured snakes: https://youtu.be/8fIhzqsQP_k 

See here for stable downloads of textured snakes:
Bubble Boa: https://thangs.com/mythangs/file/62591 
Voronoi Viper: https://thangs.com/mythangs/file/62593 
Knurled Nightcrawler: https://thangs.com/mythangs/file/62592 


These pieces are part of a Malfunctioning Tea Set:
Teapot and Teacup: https://thangs.com/mythangs/file/45980 
Creamer and Sugar Bowl: https://thangs.com/mythangs/file/54390
Plate and Saucer: https://thangs.com/mythangs/file/58813

These pieces are derived from the gyroid triply periodic minimal surface. They were designed using nTopology.

See here for video of teapot and teacup in use:  https://youtu.be/ijrhm_mlmts


Malfunctioning Plate and Saucer 

Plate.stl

These pieces are part of a Malfunctioning Tea Set:
Teapot and Teacup: https://thangs.com/mythangs/file/45980 
Creamer and Sugar Bowl: https://thangs.com/mythangs/file/54390
Plate and Saucer: https://thangs.com/mythangs/file/58813

These pieces are derived from the gyroid triply periodic minimal surface. They were designed using nTopology. 

See here for video of teapot and teacup in use:  https://youtu.be/ijrhm_mlmts


Malfunctioning Creamer and Sugar Bowl

Sugar Bowl and Creamer Display.stl

These pieces are part of a Malfunctioning Tea Set:
Teapot and Teacup: https://thangs.com/mythangs/file/45980 
Creamer and Sugar Bowl: https://thangs.com/mythangs/file/54390
Plate and Saucer: https://thangs.com/mythangs/file/58813


This teapot and teacup are derived from the gyroid triply periodic minimal surface. They were designed using nTopology.

See here for video of teapot and teacup in use:  https://youtu.be/ijrhm_mlmts


Malfunctioning Teapot and Teacup

Malfunctioning Teapot.stl

Teapot_Lid.stl

This sculpture is part of a series of three sculptures derived from the gyroid triopoly periodic minimal surface. Cube edges are one and a half unit cells with a length of approximately 90mm. 

See here for video: https://youtu.be/p2jIglnMS3s

Files are provided plain and with custom supports. Be aware that the custom supports may or may not be optimized for your particular printer, slicer and materials.

Gyroid Sculpture #1: A single gyroid surface in Voronoi pattern. Voronoi structures are approximately 3mm in diameter. 

Gyroid Sculpture #2: Two offset gyroid surfaces: one solid, the other in Voronoi pattern. Voronoi structures are approximately 3mm in diameter. Mathematically, these are separate surfaces that weave around each other but do not touch. In this model there are small bridges hidden within the structures that connect the two surfaces together for structural purposes. If desired, the surface shells can be separated for dual colour printing.

Gyroid Sculpture #3: Two solid offset gyroid surfaces connect with randomly place “wormholes.” The wormhole openings are approximately 7.5mm in diameter.

See here for other sculptures based on the gyroid “cubes”:
Gyroid Sculpture #1: https://thangs.com/mythangs/file/66609 
Gyroid Sculpture #2: https://thangs.com/mythangs/file/66613
Gyroid Sculpture #3: https://thangs.com/mythangs/file/66614 
Gyroad Sculpture: https://thangs.com/mythangs/file/66949 



Gyroid Sculpture #3

Gyroid Sculpture 3.stl

Gyroid Sculpture #2

Gyroid Sculpture 2.stl

Gyroid Sculpture #1

Gyroid Sculpture 1.stl

The Malfunctioning Wine Glass is the second in a series of malfunctioning kitchenware.

This wind glass is derived from the gyroid triply periodic minimal surface. It was designed using nTopology.

See here for video of wine glass in use:  https://youtu.be/I2OKzj_uj3o


Malfunctioning Wine Glass

This decorative Easter Egg is part of a set of three “Organic Eggs” with threaded inserts on the bottom.

See here for video: https://youtu.be/hpSOy8PuNR4 
 
Download the full set:
Organic Egg 1: https://than.gs/m/818080 
Organic Egg 2: https://than.gs/m/818082 
Organic Egg 3: https://than.gs/m/818085 


The models have been optimized to reduce the number of overhangs as much as possible, but there are some small unavoidable overhangs and angles that might need a bit of cleanup afterwards with a file.

For more Easter Egg designs:
Stochastic Eggs: https://thangs.com/mythangs/file/787027 
Chain Link: https://than.gs/m/801279 
Celtic Knot: https://than.gs/m/801493 
Wicker: https://than.gs/m/801616

For more of my Easter Egg series from previous years search for “Minimal Surface Eggs” and “Easter Eggshells.”


Organic Egg 3

Organic Egg 3.stl

This decorative Easter Egg is part of a set of three “Organic Eggs” with threaded inserts on the bottom.

See here for video: https://youtu.be/hpSOy8PuNR4 

Download the full set:
Organic Egg 1: https://than.gs/m/818080 
Organic Egg 2: https://than.gs/m/818082 
Organic Egg 3: https://than.gs/m/818085 


The models have been optimized to reduce the number of overhangs as much as possible, but there are some small unavoidable overhangs and angles that might need a bit of cleanup afterwards with a file.

For more Easter Egg designs:
Stochastic Eggs: https://thangs.com/mythangs/file/787027 
Chain Link: https://than.gs/m/801279 
Celtic Knot: https://than.gs/m/801493 
Wicker: https://than.gs/m/801616

For more of my Easter Egg series from previous years search for “Minimal Surface Eggs” and “Easter Eggshells.”


Organic Egg 2

Organic Egg 2.stl

Organic Egg 1

Organic Egg 1.stl

If you scale this staircase up by a factor of 43 you can climb it.

See here for video: https://youtu.be/PqjJ1DA_TGw 

This infinitely triply periodic staircase matrix is structured on the 8-srs structure, the 8-fold highly symmetric intergrowth of 8 equal-handed gyroid graphs. 

Plain and pre-supported files are provided, although no matter what option you choose this is a ridiculously difficult print!

To build your own matrix, start with the “Stop Stairing Translation Unit” and pattern it in any direction at an interval of 50mm. Be sure to connect the staircases somehow or you’ll end up with disconnected segments.


Stop Stairing

Stop Stairing.stl

These neutrally buoyant 3D printed shapes self-assemble into interesting cellular growths and patterns. 

To really appreciate these little lifeforms, you’ve got to see them in motion! If you watch them long enough, you might even start to imagine chapters of a primordial drama unfolding before you.

You can watch them frolicking in the sun: https://youtu.be/xugOeGLqwfI 
Or cavorting after dark: https://youtu.be/ictRHrvacI8 

The shapes look deceptively simple, but the design constraints involve balancing magnetism, geometry, surface topology and buoyancy. 

The magnets are paired such that any face can connect to any other face in either direction.

The three faces that orient the magnets on each piece are derived from the rhombic dodecahedron in such a way that if they were all joined together, they would form a chiral version of Laves graph. The Laves graph is related to the gyroid triply period minimal surface with similar symmetries and patterns.

The saddle-shaped contours between the faces reduces the frequency of mutations. The saddle shaped contours allow for strong connections when pieces meet in the proper alignment but makes weaker connections when the pieces join in incorrect alignment (“mutations”). With the pieces in motion, “mutations” either break apart on their own or are knocked out of place by other pieces increasing the likelihood of proper geometric forms. 

The final, and most difficult design constrain is to achieve neutral buoyancy. If the pieces are too buoyant, they float to the top and do not interact. Too, dense and they sink to the bottom and remain motionless.    

Instructions

Each “Cell” requires six 1/8” x 1/16” cylindrical magnets. Insert the magnets side-to-side as pictured with the polarity consistent across all surfaces and all pieces. They can be press fit in with pliers and should not require glue.

You will need to do a series of test prints to determine which version is closest to neutrally buoyant within your conditions of filament type, printer settings, barometric pressure, etc. Given the range of variables that contribute to achieving neutral buoyancy, it is impossible to predict, you just have to print and test!

The “Cells” are provided with shell thicknesses that range from 1.6mm to 2.6mm in 0.1mm intervals. Print a few, add the magnets and see what works best! 

Print the “Cells” with 100% infill. To achieve a good print of the contoured base, try raising the object 3mm off the build plate and adding “Tree” supports.

In the videos, the water is agitated with a small 3V submersible pump from Adafruit: https://www.adafruit.com/product/4546. 

The “Pump Base” holds the pump in place and directs water flow. It is sized for a 6” (OD) glass vase from a dollar store.

You can also agitate the water by simply stirring it prior to adding the cells.

Enjoy, and please share the results of your experiments!


3D Printed Self-Assembling Cells

Do Not Print.stl

These dual-color mushroom caps are compatible with all of my previously posted modular mushroom sets! This set comes with a basic gill, stem and bottom attachments to get you going. See below for links to many more compatible mushroom options!  

See here for video: https://youtu.be/AOeaYmY1D0M 

Files for single colour printing are provided as well.

Select a “Cap Surface” file and import it into your slicer along with the “Cap Inside Colour” file. Merge the files and assign them to the appropriate extruder as per your slicer and printer setup.

“Bottom Cap Screw” allows you to use a screw to attach the mushroom to a surface. “Bottom Cap Magnet” has a spot for a 1/4” x 1/8” cylindrical magnet to let you attach the mushroom on to a metal surface. “Bottom Cap Plain” has a plain, smooth surface.

Other Dual Colour Mushroom Caps:
Surfaces: https://than.gs/m/854026 
Stochastic: https://than.gs/m/854062 

Compatible Modular Mushroom sets:
Original Modular Mushroom Set:  https://social.thangs.com/m/53049 
Wavey Modular Mushrooms: https://social.thangs.com/m/335591

This model is entered in the #OutdoorThangs contest!

Dual Colour Modular Mushroom Caps (Stochastic)

Cap Surface 1 single colour.stl

Dual Colour Modular Mushroom Caps (Surfaces)

Life is a bowl of cherries. Cherries not included.

See here for video: https://youtu.be/X4ALo5EFvtU 

These files can be scaled up to hold larger objects.

See here for Cherry Bowl 1: https://social.thangs.com/m/200277 


Cherry Bowl 2

I designed this vase using Hyperganic HyDesign. The outer layer is a 7mm FRD TPMS lattice. 

If you wish to print on a flat base, -2.5mm from Z in your slicer.

Due to the large file size, the model preview is currently broken.

Uncompressed
364MB
7,546,680 triangles

Decimated
69MB
4,890,140 triangles

Thangs only displays models smaller than 250MB so the decimated version is shown in the preview. For ideal print quality use the uncompressed version added as an attachment. It will take a minute to load and slice in Bambu Studio.

[All lattice models collection](https://than.gs/c/45951)

Print time at 100% size -2.5mm: 10h7m 
0.32mm Optimal
0.8mm hardened steel nozzle #
ELEGOO Yellow PLA+ printed on Bambu Lab A1 mini.
Subscribe to my [ membership](https://than.gs/u/445597?plans=true) to access all models or for commercial use.

FRD TPMS Lattice Vase 

decimatedFRDVase.3mf

I designed this TPMS (triply periodic minimal surface) SSurface to Gyroid Transition structure Cylinder with Hyperganic HyDesign.

https://x.com/PILED3D/status/1811093967242498542
https://youtu.be/FNlm3_Fu8H0

[All lattice models collection](https://than.gs/c/45951)

50X50X50mm Scale to any size

0.2mm standard
0.4mm hardened steel nozzle
[Sunlu Orange Silk PLA+](https://www.sunlu.com/products/over-10kg-bundle-sales-1-75mm-sunlu-recycled-filament-pla-petg-abs-3d-printer-filament-1kg-roll?sca_ref=4456960.uoAhBpDWri)  printed on Bambu Lab A1 mini.
Subscribe to my [ membership](https://than.gs/u/445597?plans=true) to access all models or for commercial use.

SSurface to Gyroid Transition Cylinder

gryoid ssurface50x50.stl

Designed with Hyperganic HyDesign.

I placed it on LED Lamp Kit-001 to show how light shines through.

60x60x90mm 

Due to the large file size, the model preview is currently broken.

0.24 optimal
0.6mm nozzle
ELEGOO Sea Green PLA+ printed on Bambu Lab A1 mini.

[All lattice models collection](https://than.gs/c/45951)

Subscribe to my [ membership](https://than.gs/u/445597?plans=true) to access all models or for commercial use.

Gyroid

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Trending

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Gyroid Shoe Conceptual Design

Minimal Surface Fruit Bowl

Easter Eggshell 1

Spring Bulb 1

Serpentes nTopologus Gyroidicus

Malfunctioning Plate and Saucer

Gyroid Sculpture #3

Malfunctioning Wine Glass

Organic Egg 3

Stop Stairing

3D Printed Self-Assembling Cells

Dual Colour Modular Mushroom Caps (Stochastic)

Cherry Bowl 2