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・ Hilbert series and Hilbert polynomial
・ Hilbert Shirey
・ Hilbert space
・ Hilbert spectral analysis
・ Hilbert spectroscopy
・ Hilbert spectrum
・ Hilbert symbol
・ Hilbert system
・ Hilbert transform
・ Hilbert van der Duim
・ Hilbert Van Dijk
・ Hilbert Wildlife Management Area
・ Hilbert's arithmetic of ends
・ Hilbert's axioms
・ Hilbert's basis theorem
Hilbert's eighteenth problem
・ Hilbert's eighth problem
・ Hilbert's eleventh problem
・ Hilbert's fifteenth problem
・ Hilbert's fifth problem
・ Hilbert's fourteenth problem
・ Hilbert's fourth problem
・ Hilbert's inequality
・ Hilbert's irreducibility theorem
・ Hilbert's lemma
・ Hilbert's nineteenth problem
・ Hilbert's ninth problem
・ Hilbert's Nullstellensatz
・ Hilbert's paradox of the Grand Hotel
・ Hilbert's problems


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Hilbert's eighteenth problem : ウィキペディア英語版
Hilbert's eighteenth problem
Hilbert's eighteenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by mathematician David Hilbert. It asks three separate questions about lattices and sphere packing in Euclidean space.
==Symmetry groups in n dimensions==
The first part of the problem asks whether there are only finitely many essentially different space groups in n-dimensional Euclidean space. This was answered affirmatively by Bieberbach.

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