More Templates for Tetrahedra


Tetrahedron with Edge Lengths 3, 5, 7, 11, 13, 17

Guest Blog by Colin McAllister

Today's blog offers insight (and free templates!) on asymmetric tetrahedra.  It is the second post on this topic.  Here is the first. Mr. McAllister gives the following credit for the inspiration of this work:

I was inspired to create these geometry templates by Dr. Diana S. Perdue's discussion “Request for applications on a math problem” in the LinkedIn group “Math, Math Education, Math Culture”.
I would also like to thank Dr. Linda Fahlberg-Stojanovska for advising that the templates would be useful for mathematics classes, and for suggesting improvements to their design. 

A Tetrahedron with Edge Lengths that are Prime Numbers

I finally got around to folding one of the paper templates described in my previous blog post "Templates for Asymmetric Integer Tetrahedra". I printed it on an A4 sheet of paper and folded it into the solid shape shown. Folding the creases in the opposite direction will make the mirror image shape. The edge lengths are relative. It could be drawn to 1 cm scale if desired, and would fit on one page.

I shared this for discussion in the group The Math Connection on LinkedIn.

Image file of Tetrahedron with Prime Number Edge Lengths on for download. The Geogebra data file is also available. Scale to fit the page, and use Print Preview, before printing.

Colin McAllister is a software developer residing in the UK who actively participates in LinkedIn discussions and groups. He has a personal blog site:

Just a further note to those who might be seeking more help that Dr. Perdue offers in-person and Skype edtech training and math tutoring as well as in-world help via SecondLife.  Email to schedule a help session.

As always, I'd love to hear from you.  Especially, I would love to hear if anyone has created similar templates for The Geometer's Sketchpad.


Original blog post

I2GEO resource site

Advanced reading on The Heronian Tetrahedron

Advanced reading on Tetrahedra with Edges in Arithmetic Progression

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The Solver Blog

Guest Post Author:  Colin McAllister

Blog Author:  Dr. Diana S. Perdue

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