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German word heim comes from Proto-Indo-European *ḱóymos, Proto-Indo-European *ḱe-, and later Proto-Germanic *haimaz (Home. House. Village.)
*ḱóymos (Proto-Indo-European)
*ḱe- (Proto-Indo-European)
*haimaz (Proto-Germanic)
Home. House. Village.
*haim (Frankish)
Home. Village.
heim (Old High German)
heim (Middle High German)
Heim (German)
Asylum. Home. Hostel.
heim (German)
Home; always as a direction, thus never in the sense of at home.