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Post Made Community Wiki by Stefan Kohl♦
deleted 23 characters in body
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Qfwfq
Qfwfq
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I would like to know what are the applications of the theory of $n$-dimensional crystallographic groups (aka space groups, aka Bieberbach groups)

  1. in mathematics

  2. outside of mathematics,

besides the applications to $2$-dimensional and $3$-dimensional crystallography (or related fields like chemistry, or physics, of crystals).

One possible application of $4$-dimensional space groups is already reported in the wikipedia article I linked to (see "Magnetic groups and time reversal").

I would like to know what are the applications of the theory of $n$-dimensional crystallographic groups (aka space groups, aka Bieberbach groups)

  1. in mathematics

  2. outside of mathematics,

besides the applications to $2$-dimensional and $3$-dimensional crystallography (or related fields like chemistry, or physics, of crystals).

One possible application of $4$-dimensional space groups is already reported in the wikipedia article I linked to (see "Magnetic groups and time reversal").

I would like to know what are the applications of the theory of $n$-dimensional crystallographic groups (aka space groups)

  1. in mathematics

  2. outside of mathematics,

besides the applications to $2$-dimensional and $3$-dimensional crystallography (or related fields like chemistry, or physics, of crystals).

One possible application of $4$-dimensional space groups is already reported in the wikipedia article I linked to (see "Magnetic groups and time reversal").

typos
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Gerry Myerson
Gerry Myerson
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Applications of n-dimensional crysrtallographiccrystallographic groups

I would like to know what are the applications of the theory of $n$-dimensional cystallographiccrystallographic groups (aka space groups, aka Bieberbach groups)

  1. in mathematics

  2. outside of mathematics,

besides the applications to $2$-dimensional and $3$-dimensional crystallography (or related fields like chemistry, or physics, of crystals).

One possible application of $4$-dimensional space groups is already reported in the wikipedia article I linked to (see "Magnetic groups and time reversal").

Applications of n-dimensional crysrtallographic groups

I would like to know what are the applications of the theory of $n$-dimensional cystallographic groups (aka space groups, aka Bieberbach groups)

  1. in mathematics

  2. outside of mathematics,

besides the applications to $2$-dimensional and $3$-dimensional crystallography (or related fields like chemistry, or physics, of crystals).

One possible application of $4$-dimensional space groups is already reported in the wikipedia article I linked to (see "Magnetic groups and time reversal").

Applications of n-dimensional crystallographic groups

I would like to know what are the applications of the theory of $n$-dimensional crystallographic groups (aka space groups, aka Bieberbach groups)

  1. in mathematics

  2. outside of mathematics,

besides the applications to $2$-dimensional and $3$-dimensional crystallography (or related fields like chemistry, or physics, of crystals).

One possible application of $4$-dimensional space groups is already reported in the wikipedia article I linked to (see "Magnetic groups and time reversal").

Source Link
Qfwfq
Qfwfq
  • 23.3k
  • 14
  • 122
  • 225

Applications of n-dimensional crysrtallographic groups

I would like to know what are the applications of the theory of $n$-dimensional cystallographic groups (aka space groups, aka Bieberbach groups)

  1. in mathematics

  2. outside of mathematics,

besides the applications to $2$-dimensional and $3$-dimensional crystallography (or related fields like chemistry, or physics, of crystals).

One possible application of $4$-dimensional space groups is already reported in the wikipedia article I linked to (see "Magnetic groups and time reversal").