Circle inversion study
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Preliminary estimate for PETG
€0.14 – €0.17 net (excluding VAT)
For file: Circle2_0.2mm_PETG_MK3S_12m.gcode
This is an estimate for one file. You’ll confirm the exact price before ordering.
File and estimate settings
File used for this estimate
Average indicative estimate: €0.15 excluding VAT (range midpoint).
- Weight reported by the author
- 1 g
- Print time reported by the author
- 12 min
- Source material
- PET
- Estimate material
- PETG
- Estimate printer
- Bambu Lab P1S - 0.4 nozzle
- Estimate process
- 0.20mm Standard
Indicative estimate for the selected file only, based on the author’s weight and print time. File variants are not added together. The final price is calculated after file analysis.
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When inverting a closed curve, the tension change maps circular arcs to circular arcs. But the theory broke for circles
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Updated at source:
Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Attribution
Part of a series of invertible curves.
In trying to better understand what happens to a closed curve when inverted, I designed a couple of simple tests for circles. Pure math predicts a symmetric solution, but the curve has to pass through itself – that doesn't happen in our world.
So I printed it and inverted it. In our physical world the two circle shape has two different stable inversions. The multi-circle shape has 2^6=64 stable inversions. Unexpected, but makes sense after the fact.
These shapes are quick to print and fun to play with.
NOTE: Print in vase mode with elephant foot correction disabled.