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  • Writer's pictureEfthimios Sifounios

Who invented Pythagoras Cup and How does it work

Pythagoras Cup: The Revolutionary Drinking Vessel

The Pythagoras Cup, also known as the "drunkard's nightmare", is a unique and innovative drinking vessel that has taken the world by storm. Its name comes from the ancient Greek mathematician Pythagoras, who is credited with creating the mathematical formula for the Pythagorean theorem. This cup is not only a work of art but also a lesson in physics and mathematics. In this article, we'll explore the history of the Pythagorean Cup and how it works.

The Origin of the Pythagorean Cup:

The Pythagorean Cup has its roots in ancient Greece. It is said to have been invented by the philosopher and mathematician Pythagoras as a way to demonstrate his mathematical theories. The cup was designed to hold a specific amount of liquid, and if the drinker tried to exceed that amount, the cup would spill its contents. This concept of the cup was later developed and improved upon by various philosophers, mathematicians, and inventors over the centuries.

How Does the Pythagorean Cup Work?

The secret behind the Pythagorean Cup lies in its design. The cup is shaped like a cone and has a small hole in the bottom. The hole is positioned in such a way that it controls the flow of liquid into the cup. When the cup is filled to the correct level, the liquid stays inside the cup and does not spill out. But, if someone tries to pour in more liquid than the cup can hold, the liquid will flow through the hole and spill out.

a Pythagorean cup
Pythagorean cup

The Physics Behind the Pythagorean Cup:

The Pythagorean Cup is a perfect demonstration of fluid dynamics. The cup's unique shape and the positioning of the hole allow for precise control of the flow of liquid. This is because the size of the hole is proportional to the amount of liquid in the cup. When the cup is filled to the correct level, the liquid creates a pressure that seals the hole and prevents the liquid from spilling out. But, when more liquid is added, the pressure increases, causing the liquid to flow through the hole and spill out.

The Mathematical Formula for the Pythagorean Cup:

The formula for the Pythagorean Cup is based on the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. The formula for the Pythagorean Cup takes this theorem into account and uses it to calculate the size of the hole in the cup. The formula is as follows: C = (V / (πr^2h))^0.5 Where C is the size of the hole, V is the volume of the liquid, r is the radius of the cup, and h is the height of the cup.

The Advantages of the Pythagorean Cup:

The Pythagorean Cup has many advantages over traditional drinking vessels. Firstly, it helps to prevent over-drinking by controlling the amount of liquid that can be consumed. This is especially useful for people who have problems with alcohol consumption or for those who want to maintain a healthy lifestyle. Secondly, the cup is environmentally friendly as it helps to reduce waste by controlling the amount of liquid that is poured into it. And finally, the cup is a great conversation starter, as its unique design and history make it a fascinating topic of discussion.

The Modern Pythagorean Cup:

Today, the Pythagorean Cup is not just a historical curiosity but is also a popular modern drinking vessel. It is available in various sizes and materials, including glass, plastic, and metal. Some companies have even started to design and manufacture custom Pythagorean Cups for special events, such as weddings and corporate events. These cups are often made of high-quality materials and are decorated with intricate designs and patterns, making them not only functional but also aesthetically pleasing.

The Pythagorean Cup in Education:

The Pythagorean Cup is not only a fun and interesting drinking vessel, but it also has educational value. It is used in many schools and universities as a teaching tool to demonstrate the principles of physics and mathematics. By using the cup in their lessons, educators can help students understand complex mathematical concepts in a fun and interactive way. This not only helps students to retain the information better, but it also makes the learning experience more enjoyable.

The Pythagorean Cup is a truly remarkable invention that combines art, science, and mathematics. Its unique design and function have made it a popular drinking vessel both in the past and in the present. The cup's ability to prevent over-drinking, its environmentally friendly design and its educational value make it a truly revolutionary product. Whether you're looking for a functional and interesting drinking vessel, or you're a student or educator looking for a teaching tool, the Pythagorean Cup is definitely worth checking out.If you want to buy a Pythagorean cup you can buy one at


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