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 Post subject: The Pythagoras Cup of Justice!Posted: Fri Sep 24, 2010 3:22 pm

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
Well, I am going through some article writing for Greek puzzles in general,
(did you know that the Ostomachion by Archimedes is the oldest known
mechanical puzzle saved in written scripts?), so felt the need to mention
an amazing (yet simple) Cup made by Pythagoras (The Puzzle Ninja is

is the real thing! In Greek it is called Dikea Koupa (Δικαία Κούπα), and the
engineering behind it can surprise many. So how does it work?

Attachment:

Pythagoras cup.jpg [ 22.08 KiB | Viewed 2638 times ]

The Pythagorean cup is a form of drinking cup which allows the user to fill
the cup with wine up to a certain level. If the user fills the cup no further
than that level he may enjoy his drink in peace. If he exhibits gluttony
however, the cup wreaks instant retribution by spilling its contents out
through the bottom. Pythagoras’ cup looks exactly like a normal drinking cup,
except that the bowl has a central column in it.

The central column of the bowl is positioned directly over the stem of the cup
and over the hole at the bottom of the stem. A small, open pipe runs from this
hole almost to the top of the central column, where there is an open chamber.

Attachment:

PythagorasCup.jpg [ 7.99 KiB | Viewed 2638 times ]

The chamber is connected by a second pipe to the bottom of the central column,
where a hole in the column exposes the pipe to the contents of the cup. When
the cup is filled, liquid rises through the second pipe up to the chamber at the
top of the central column. As long as the level of the liquid does not rise beyond
the level of the chamber, everything is all right. If the level rises further however,
the liquid spills through the chamber into the first pipe and out through the bottom.

Hydrostatic pressure then creates a siphon through the central column causing the
entire contents of the cup to be emptied through the hole at the bottom of the stem.

By this way, the avid is punished.

So... does anyone want to join me at my place for a... drink?

Pantazis

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 Post subject: Re: The Pythagoras Cup of Justice!Posted: Fri Sep 24, 2010 3:27 pm

Joined: Fri Feb 06, 2009 2:57 pm
Location: Pittsburgh
This was really neat! It took a second of thinking after I looked at the picture with it shown, then I understood it.

>:( I'd come over for a drink anytime if I could, even if I had to get it spilled all over me.

_________________
3x3x3 PB: 00:48.10
"Study gravitation, it's a field with a lot of potential."

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 Post subject: Re: The Pythagoras Cup of Justice!Posted: Fri Sep 24, 2010 8:50 pm

Joined: Thu Oct 08, 2009 4:46 pm
http://webapp1.dlib.indiana.edu/dlsearc ... SLO-020839

The Jerry Slocum museum has a Chinese version of the same principle.

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 Post subject: Re: The Pythagoras Cup of Justice!Posted: Sat Sep 25, 2010 1:53 am

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
Simplexity4 wrote:
http://webapp1.dlib.indiana.edu/dlsearch/results/detail.do?fullItemID=/lilly/slocum/LL-SLO-020839

The Jerry Slocum museum has a Chinese version of the same principle.

Indeed, there are such vessels used from the Ming Dynasty (1368 AD) and thereafter,
while some cups had a different usage, different purpose, and different decorations.

But in the case of the Pythagoras cup, we are talking that it was used well before 500 BC!

Pantazis

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 Post subject: Re: The Pythagoras Cup of Justice!Posted: Sat Sep 25, 2010 11:27 am

Joined: Wed May 13, 2009 4:58 pm
Location: Vancouver, Washington
rotfl

It'd be fun to bring a set of these to a party. To bad it's build into the center, it's kind of suspicious being there. I'm sure it could be built into a wall though.

_________________
Real name: Landon Kryger

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 Post subject: Re: The Pythagoras Cup of Justice!Posted: Fri Oct 01, 2010 8:21 am

Joined: Thu Jan 28, 2010 2:27 am
The mug in the middle of this page has one built in to the handle, which would be nearly undetectable if it were opaque:
http://www.kleinbottle.com/Tantalus.html

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 Post subject: Re: The Pythagoras Cup of Justice!Posted: Fri Oct 01, 2010 12:06 pm

Joined: Fri Nov 04, 2005 12:31 am
Location: Greece, Australia, Thailand, India, Singapore.
bkuehner wrote:
The mug in the middle of this page has one built in to the handle, which would be nearly undetectable if it were opaque:
http://www.kleinbottle.com/Tantalus.html

Thanks, this is brilliant stuff! Indeed, by hiding the extension, it can become
even more "puzzling" than it is already!

Pantazis

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