Learn English – Name of a word where you can continually remove one letter from the beginning or end

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This is possibly off-topic here – please redirect me if necessary

I am looking for the name of a type of word where you can continually remove one letter from the start or end of the word, until there is just one letter left, and every intermediate word is a valid word in the English language.

For example, brandy is such a word, because after each letter is removed below, we get another word:

brandy
brand
bran
 ran
  an
  a

What is the name for words with this property?

I'm new on ELU.SE; I can probably do with some help with tagging this question correctly.

Best Answer

This is an example of an aphetic word game:

Aphetic (adj) shortened by dropping a letter or a syllable from the beginning of a word; as, an aphetic word or form

From definitions.net.

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