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Solids/Surfaces of Constant Width, Triangular, Pentagonal, Tetrahedronal Balls

3D model description

Solids/Surfaces of Constant Width, Triangular, Pentagonal, Tetrahedronal Balls

Three solids of constant width (30mm). These three solids are easy to design in a 3D design environment and provide rich moments of mathematical reasoning for students. Of course, there are many other solids that roll like a sphere. These can be used as entry-point design projects for K-12 students and STEM teachers to play with 3D design.

To print curves surfaces, support is needed and a raft is perhaps also helpful. Also, it may be easier to print and remove support if you rotate the object a bit say, 30 or 45 degrees. Keep them rolling and have fun!

References:

1) https://en.wikipedia.org/wiki/Curve_of_constant_width
2) http://mathworld.wolfram.com/ReuleauxTetrahedron.html
3) http://community.wolfram.com/groups/-/m/t/790393
4) Gardener, Martin. (2001). The colossal book of mathematics: Classic puzzles, paradoxes, and problems. New York, NY: W. W. Norton & Co.

3D printing settings

Rafts:

Yes

Supports:

Yes

Resolution:

0.1-.2mm

Infill:

5-15%

Notes:
It may be easier to print and remove support if you rotate the object a bit say, 30 or 45 degrees.

  • 3D model format: STL

Creator

STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides: http://www.nsta.org/safety/.

LGBU Contact: LGBU@SIU.EDU

License

CC BY


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3 comments

Sorry to heart that. I think the zip file is created by the system automatically. My designs are shared from thingiverse.com by the Cults site. Please try it at Thingiverse if the problem persists. ... I tried it. I do see the STL files in my zip file, though. Thanks for the comment.

Oops, the ZIP file is empty. :-(