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Key Chain, Pythagoras, Pythagorean Theorem

3D model description

Kids love key chains. Why not make one out of the Pythagorean Theorem? The square piece here is about 45mm x 45mm x 5mm.

The two patterns are used frequently in visual mathematics (proof without words). It might have a Chinese origin. The big square minus the four right triangles is c^2 on one side and a^2+b^2 on the other side. So it visually proves the Pythagorean Theorem. It is easy to print. Please try a higher resolution for a smooth appearance. Have fun!

3D printing settings

Rafts:

No

Supports:

No

Resolution:

.1

Infill:

20%

Notes:
Please print with the a^2 and b^2 facing up, changing filament at 50% done if a second color is wanted.

Post-Printing
Think about the relationships among the geometric pieces.

  • 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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