Pythagoras Cup V2 - Cup of Justice
Print Profile(4)
Description
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Pythagorean Cup – Ancient Design Meets Modern 3D Printing in the 2nd Generation
Category | Improvement | Effect/Benefit |
|---|---|---|
| Geometry | Revision to over 1 million triangles | Significantly rounder, more precise shape; visually higher quality impression |
| Slicing | More complex geometry can slow down slicer (depending on PC) | Higher processing load, but perfect roundness in print - Seamless in the app |
| Drainage | Additional drainage grooves integrated | Liquid drains reliably, even on very flat surfaces |
| Print Orientation | Cut model can also be printed upright | Fewer support structures needed; however, the cut surface is not perfectly flat |
| Print Quality | Improved template and geometry | Rounder surface, uniform print, overall higher quality result |
The Pythagorean Cup has fascinated me since I discovered it – and even more so now after several revisions: Thanks to improved geometry, the 3D print has become significantly rounder and more precise. The model now consists of over a million triangles, which, depending on the computer, can make the slicer a bit slower, but enables almost perfect roundness. The drainage has also been optimized: Small grooves ensure that liquid drains reliably, even on very flat surfaces where problems could previously occur. Additionally, the cut model can now also be printed upright – this reduces supports, but the cut surface will not be perfectly flat
Originally designed by Pythagoras around 500 BC, the cup also bears the name "Cup of Justice". Its operating principle is as clever as it is instructive: Whoever pours greedily empties the cup automatically. In a playful way, it teaches moderation and fairness. Today, it is not only a practical drinking vessel but also a fascinating collector's item and an eye-catcher for makers, math, and tech enthusiasts
How it Works
The Pythagorean Cup uses a simple yet ingenious physical principle: Inside the cup is a siphon. As long as you only pour up to the mark, it functions like a normal cup. However, if more is poured in, the liquid drains out through the siphon – and the entire cup empties itself. Thus, it playfully "punishes" greed and rewards moderation
My 3D Design
My design for 3D printing combines the ancient form with modern manufacturing possibilities
- Materials: suitable for PLA or food-safe plastic
- Volume: approx 200 ml
- Print: possible without support structures, alternatively also printable upright (fewer supports, but not perfectly flat cut surface)
- Geometry: over 1 million triangles for perfect roundness
- Optimizations: Drainage grooves for reliable draining even on smooth surfaces
With this model, I want to encourage the joy of tinkering and discovery. The cup uniquely combines history, technology, and humor and invites the community to share their own print results, give feedback, and experience this fascinating piece of ancient engineering themselves
Boost Me (for free)
If you like my piece of ancient history by Pythagoras, leave a boost – so the Cup of Justice reaches even more makers!
License
You shall not share, sub-license, sell, rent, host, transfer, or distribute in any way the digital or 3D printed versions of this object, nor any other derivative work of this object in its digital or physical format (including - but not limited to - remixes of this object, and hosting on other digital platforms). The objects may not be used without permission in any way whatsoever in which you charge money, or collect fees.
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