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Delian Cube Doubling Problem

3D model description

The Delian Cube-Doubling Problem: Now You can Feel it.
This is a classic problem! It looks pretty simple; but it is a fascinating math problem, stretching from 1D through 2D to 3D.

It is proven impossible to double the volume of a cube using (unmarked) straightedge and compass. However, with a marked ruler, one can construct the edge of such a doubled cube and thus the whole cube.

Depending on your perspective, please choose either one of the following models.

Version A: The whole cube, including the walls, is counted as the volume.

Version B: The interior (capacity) of the cubes is counted as the volume, excluding the walls.

The base has the setup for the curious mind to prove that the edge of the doubled cube is the cubic (third) root of 2. It is slightly challenging; please look up the Theorem of Menelaus. I am not going to ruin the fun here.

Have fun and play with math!

References
https://en.wikipedia.org/wiki/Doubling_the_cube

Dörrie, Heinrich. (1965). 100 Great Problems of Elementary Mathematics: Their History and Solution. (David Antin, Trans.) . New York, NY: Dover (Original work published 1958).

3D printing settings

Rafts:

No

Supports:

No

Resolution:

0.15-.2mm

Infill:

5-20%

  • 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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