Desertcart Logo

Q: My mathematician husband told me that Klein bottle does not have volume. But it looks that this bottle can hold liquid. How come?

Both of you are right! Yes, the glass Klein bottle can hold water - you can put about 13 ounces "into" it. Mathematically, as your husband points out, the bottle doesn't divide the universe into an "inside" and an "outside". So, to a topologist, it has zero volume. A solid ball and an empty cube both separate the universe into an inside and an outside, as does a sealed wine carafe. Other shapes - a rectangle or a hemisphere - don't separate the universe and in this sense, do not have volume. Having said this, I don't recommend that you fill your Klein bottle with water, mainly because it's difficult to dry. Filling it is fairly easy, but because there's little air circulation, the last few droplets of water are difficult to remove. Leave it inverted overnight, and the droplets will gather in the handle, then you can shake 'em out. Best wishes, -Cliff Stoll

Q: Why is Faraday's law of induction and Gauss' law for magnetic fields included in the description?

An interesting question, worthy of a detailed explanation. These are two of Maxwell's equations. ∇⃗ · B⃗ = 0 is Gauss's law: there must be zero net flux of magnetic field lines out of a closed surface. This implies that there are no magnetic monopoles. Our Klein bottles are delivered with no magnetic monopoles - we guarantee it. Should you find a pesky magnetic monopole, we will refund your purchase price. ∇×E=−dB/dt , also known as Faraday's law of induction, shows that a time changing magnetic field creates an electric field. This is valid for oriented manifolds, due to the Kelvin-Stokes theorem. It does not apply to a nonorientable manifold (such as a Klein bottle in R4-space). Our Klein bottles are immersed (not embedded) in R3-space, and so, ∇×E=−dB/dt is valid locally, at least in a nonrelativistic frame of reference. We are confident that each Acme Klein bottle will not interfere with classical electromagnetism, and so we've included this in the description.

Q: Dear Cliff, why I cannot buy it in Europe?

I happily ship to Europe - over the past 25 years, I've sent Klein bottles to math folk around the globe. However, I've had trouble writing the interface that connects my computer to the Amazon Marketplace system, especially Amazon-Europe. I coded it for Amazon-USA, but not yet for other regions.

Deliver to Vietnam

For best experience Get the App

DOWNLOAD THE APP

WE SOURCE ITEMS FROM

UAE
UK
India
USA
Japan
KOREA

Customer Services

About Us

Customer Support

Description

♾️ Elevate your space with a timeless twist on infinity!

GIFT OF GENIUS - Ideal for mathematicians, physicists, programmers, or anyone who loves mind-bending science.
MATHEMATICAL MARVEL - Own a rare, hand-crafted Klein bottle that defies conventional geometry.
CONVERSATION STARTER - Perfect for your office desk or bookshelf to spark curiosity and admiration.
ECO FRIENDLY TIMELESS - Reusable, rustproof, and BPA-free—an elegant piece that lasts a lifetime.
PREMIUM BOROSILICATE GLASS - Durable, microwave-safe, and crystal-clear for a sleek, modern aesthetic.

This handmade Klein bottle is a precision-crafted, borosilicate glass sculpture standing 8 inches tall and 4 inches in diameter. Featuring a unique non-orientable surface with zero volume, it’s microwave-safe, BPA-free, and designed as a captivating educational and decorative piece for science enthusiasts and professionals alike.

Specifications

Brand	Acme Klein Bottle
Material	Borosilicate Glass
Bottle Type	Klein Bottle
Color	transparent
Capacity	8 ounces
Special Feature	Non-orientable Surface
Age Range (Description)	Adult
Product Dimensions	3.94"W x 7.87"H
Product Care Instructions	Microwave Safe
Model Name	Glass Klein
Recommended Uses For Product	Decoration, Education, Gift
Number of Items	1
Reusability	Reusable
Shape	Smooth, differentiable, non-orientable
Material Type Free	Bisphenol A (BPA) Free
Finish Type	Glossy
Unit Count	1.0 Count
Package Information	Bottle
Specific Uses For Product	gift;decor;education
Item Weight	8 Ounces
Manufacturer	Acme Klein Bottles
UPC	702630229270
Part Number	3.14159
Item Weight	8 ounces
Item model number	3.14159
Is Discontinued By Manufacturer	No
Size	8 Ounces
Finish	Glossy
Item Package Quantity	1
Special Features	Non-orientable Surface
Batteries Included?	No
Batteries Required?	No