Mutual Containing Boxes

[](https://www.youtube.com/watch?v=KCcW99HgZtY)

If the thickness (`t`) of boxes and height (`h`) of the inner box are known, the width (`w`), length (`l`) of the inner box and the width (`W`), height (`H`) , length (`L`) of the outer box have the following relationship:

- `H = h + t`
- `w = H + 2t`
- `W = w + 2t`
- `l = W + 2t`
- `L = l + 2t`

A bigger `h` and a smaller `t` will make boxes more like a cube so more magical when playing them. Using a smaller `h` and a bigger `t` is helpful for understanding why they can contain each other.

The original idea is from 黃敏晃, a professor of mathematics retired from National Taiwan University. I just make a customizable model as an easy teaching aid.

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- *[OpenSCAD Documentation - Traditional Chinese](http://openhome.cc/Gossip/OpenSCAD/)*
- *[OpenSCAD Documentation - English](http://openhome.cc/eGossip/OpenSCAD/)*

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