Methodologies like “cut and project” can be used to represent quasicrystals with symmetry groups with this property. For 10 points each:
[10h] Name this property of certain crystal structures which results in the existence of 64 distinct Bravais lattices instead of the typical 14.
ANSWER: four-dimensional [or 4D; accept descriptions of having greater than 3 dimensions]
[10m] Quasicrystals necessitate higher dimensional representation since they can lack symmetry corresponding to this transformation that defines the points of a Bravais lattice.
ANSWER: translation [accept word forms like translating]
[10e] Frank Wilczek is credited with theorizing crystals that extended their arrangement of atoms to this dimension which makes up the classical fourth dimension alongside the three dimensions for space.
ANSWER: time
<Jim Fan, Physics>