YOU SAID:

In geometry, a complex polytope is a generalization of a polytope in real space to an analogous structure in a complex Hilbert space, where each real dimension is accompanied by an imaginary one.

INTO JAPANESE

幾何学では、複雑なポリトープは、実空間のポリトープを複雑なヒルベルト空間の類似構造に一般化したものであり、各実次元には虚次元が伴います。

BACK INTO ENGLISH

In geometry, complex polytopes are generalizations of real-space polytopes to analogous structures in complex Hilbert spaces, where each real dimension is accompanied by an imaginary dimension.

INTO JAPANESE

ジオメトリでは、複雑なポリトープは、実空間のポリトープを複雑なヒルベルト空間の類似構造に一般化したものであり、各実次元には虚次元が伴います。

BACK INTO ENGLISH

In geometry, complex polytopes are generalizations of real-space polytopes to analogous structures in complex Hilbert spaces, where each real dimension is accompanied by an imaginary dimension.