Pyramids any-sided Parametric

Pyramids_10.step

Industrial Torus Stairs

Industrial Torus Stairs - With Supports.stl

9 Groove Sphericon (Single and Dual Material)

sidea-single.stl

Wireframe Icosahedron // Folding Polyhedra

[Relevant Video](https://www.youtube.com/watch?v=DXeR6tmcZCE)


This is the Wireframe Icosahedron from my [Folding Polyhedra Pack](https://www.myminifactory.com/object/3d-print-81865)! Print flat, fold, and snap together! This technique can produce super clean and satisfying prints. Enjoy :)

Sloped Hexasphericon

slopedhex-solid.stl

Schoens Batwing Egg

This egg design is part of a series of “10 Decorative Minimal Surface Eggs”. The series was originally created in 2021.
See my page for a more recent similar series of hollow “10 Easter Eggshells” that can be used to store objects or candy.
The descriptions below offer specific suggestions for printing. One general word of caution is when using “tree” supports, be sure to add “support blocks” to prevent the tree structures from extending up into the interior of the egg. They’ll be impossible to remove.
Expect to do a bit of post-print cleaning with each piece.
Schwarz' P Egg
This relatively simple egg requires a small amount of tree support to the bottom bulge. This is a good one to start with.
Schwarz’ D Egg
The Schwarz D Egg has some overhangs that may not be properly supported by standard supports. The piece is provided plain and with custom supports.
Schoen’s Gyroid Egg
The Schoen’s Gyroid Egg requires tree supports for the bottom third or so.
Schoen's Batwing Egg
The Schoen's Batwing Egg is tricky in that it has some rather large horizontal surfaces. The model shown was printed with an extensive amount of tree support. While the overall structure held up, the undersides of the horizontal surface required a lot of cleanup.
Fischer-Koch S Egg
The Fischer-Koch S Egg has some overhangs that may not be properly supported by standard supports. The piece is provided plain and with custom supports.
Schwarz’ CLP Egg
This relatively simple egg requires a small amount of tree support to the bottom bulge. This is a good one to start with.
Schoen’s I-WP Egg
Schoen’s I-WP Egg requires tree supports for the bottom third or so.
Schoen’s F-RD Egg
Schoen’s F-RD Egg has some overhangs that may not be properly supported by standard supports. The piece is provided plain and with custom supports.
Schoen’s F-RD(r) Egg
Schoen’s F-RD(r) Egg requires tree supports for the bottom third or so.
Fischer-Koch C(Y) Egg
Fischer-Koch C(Y) Egg has some overhangs that may not be properly supported by standard supports. The piece is provided plain and with custom supports.


Dodecahedron.step

Simple Sturdy Pulley

pulley-sidea.stl

Schoens I-WP Egg

Schoens F-RD Egg

Schoens F-RD Egg.stl

SSurface to Gyroid Transition Cylinder

gryoid ssurface50x50.stl

The Pi Di.stl

Introducing the PI Di.

This model was uploaded at precisely at 3:14 pm Coordinated Universal Time (UTC) or Greenwich Mean Time (GMT) on March 14 (Pi Day).

Roll the di for fun facts about Pi, including the beautiful symbol itself, the number 3.14, and four formulas to help you measure circles, including the formulas for circumference, diameter, radius, and area.  

Download it now.  Don't be afraid to di.



March Magnets - Day 7 #marchmagnets | Pie with pi symbol and crust with 3.14 (and more digits)

March Magnets_Day 7_Karen Chau Designs.3mf

March Magnets - Day 6 #marchmagnets | Lattice pie with pi symbols

March Magnets_Day 6_KCD_Karen Chau Designs.3mf

Schwarz CLP Egg

FRD TPMS Lattice Vase 

decimatedFRDVase.3mf

March Magnets - Day 4 #marchmagnets | Pie with pi symbols

March Magnets_Day 4_Karen Chau Designs.3mf

March Magnets - Day 14 #marchmagnets | Stackable 1/6 pie slice with whipped cream dollop

March Magnets_Day 14b_Karen Chau Designs.stl

Quantum Wireframe Sphericon

QuantumSphericonWireframe.stl

Clifford Sculptures (Climber)

This sculpture is one in a series of three derived from the Clifford parallel geodesics of the cell-centered stereographic projection of the four-dimensional 600-cell. Visit my page for links to others in this series. See here for video: https://youtu.be/MTMeT03aBJ0 

The 600-cell is a stunningly beautiful regular 4-polytope, but its beauty is nearly impossible to appreciate because, well, we can only perceive three dimensions!

One way to deconstruct and appreciate the 600-cell is to understand it in terms of geodesic great circles. The 600-cell is made up of 72 great decagons. The 72 great decagons can be divided into 6 sets of 12 non-intersecting Clifford parallel geodesics, such that only one decagonal great circle in each set passes through each vertex, and the 12 decagons in each set reach all 120 vertices.

When exploring or printing these sculptures, I encourage you to orient to the geometry by first locating the complete decagons. Every line portion of is course part of a larger great decagon that has been removed to reduce complexity and highlight specific aspects of the geometry.

These are advanced sculptures to print and require meticulous planning and support structures. The models pictured were printed with an FDM printer, 0.4mm nozzle at 0.1mm layer height, although these designs are probably better suited to SLA or SLS printing technology.

This project was inspired by the book "Visualizing Mathematics with 3D Printing" by Henry Segerman.

Learn more about Clifford parallel geodesics and 600-cell geometry here: https://en.wikipedia.org/wiki/600-cell 

Clifford Carousel

Named because of its circular symmetries, this sculpture is the easiest to print. It is made up of nine of the smallest Clifford parallel geodesics connected with “struts” to form three interconnected 30-tetrahedron Boerdijk–Coxeter helix rings. 

Clifford Core

Named because of its similarity to an apple core, this sculpture does not contain any full geodesic great circles, but instead shows the interrelation between portions of eleven geodesic great circles, one through the middle and ten twisting around. The sculpture can also be seen as portions of five twisted Boerdijk–Coxeter helix rings containing 21 of the full 30 tetrahedrons.

Clifford Climber

Named for is similarity to playground climbing structures, this sculpture contains nine of the largest Clifford parallel geodesics which, like the “Clifford Carousel,” are connected with “struts” to form three interconnected 30-tetrahedron Boerdijk–Coxeter helix rings. This sculpture is the most difficult to understand and by far the trickiest to print!


MATH

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Pyramids any-sided Parametric

Industrial Torus Stairs

9 Groove Sphericon (Single and Dual Material)

Wireframe Icosahedron // Folding Polyhedra

Sloped Hexasphericon

Schoens Batwing Egg

Dodecahedron.step

Simple Sturdy Pulley

Schoens I-WP Egg

Schoens F-RD Egg

SSurface to Gyroid Transition Cylinder

The Pi Di.stl

March Magnets - Day 7 #marchmagnets | Pie with pi symbol and crust with 3.14 (and more digits)

March Magnets - Day 6 #marchmagnets | Lattice pie with pi symbols

Schwarz CLP Egg

FRD TPMS Lattice Vase

March Magnets - Day 4 #marchmagnets | Pie with pi symbols

March Magnets - Day 14 #marchmagnets | Stackable 1/6 pie slice with whipped cream dollop

Quantum Wireframe Sphericon

Clifford Sculptures (Climber)