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Educational Slide Rule – Linear vs Log Scales — image 1
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Educational Slide Rule – Linear vs Log Scales

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Two rulers, one movement – addition and multiplication explained physically.

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Model information

Category
Math
License
GNU General Public License v3.0

This project uses a single ruler design that is printed twice.
The two rulers are simply placed next to each other and moved relative to each other.

Each ruler has two sides:

  • Front: linear scale → addition / subtraction

  • Back: logarithmic scale → multiplication / division

The key idea:

The movement is the same – only the scale changes.

This model helps to visualize:

Addition  ↔ linear scale
Multiplication ↔ logarithmic scale

and the relationship:

log(a · b) = log(a) + log(b)

Printing notes

  • Print the same ruler twice

  • Engraved scales recommended (≈0.4–0.6 mm depth)

  • Fill engravings with a marker for better readability or (better) use filamant change


Notes

  • Educational model, not intended for high precision


More details and background:

https://3d.bit-field.de/slide_ruler_stl.de.html

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