Hantzsche–Wendt manifold
Closed flat 3-manifold / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Hantzsche–Wendt manifold?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
The Hantzsche–Wendt manifold, also known as the HW manifold or didicosm,[1] is a compact, orientable, flat 3-manifold, first studied by Walter Hantzsche and Hilmar Wendt in 1934.[2] It is the only closed flat 3-manifold with first Betti number zero. Its holonomy group is .[3] It has been suggested as a possible shape of the universe because its complicated geometry can obscure the features in the cosmic microwave background that would arise if the universe is a closed flat manifold, such as the 3-torus.[4]