Two Striking Errors per Coin
No, not coins that were Triple Struck.
(That is for another day).
Every now and then, a coin that has been mis-struck twice comes along. The coin is struck incorrectly; then struck again in another incorrect way. Thus we have coins that are both Double Struck and "Brockaged".
The 1974 book "Modern Mint Mistakes" (4th edition), by Phillip Steiner and Michael Zimpfer shows an example of a Double Struck Brockage. Theirs is a US one cent reverse brockage and it appears on page 147. It is in a section called "Combination Brockages" and their coin is labeled "Double Brockage (Coin Struck Twice by Cap)". Unfortunately, only one side of the coin is pictured.
I've divided Double Struck Brockages into two types: Brockages with
doubled, incuse designs, and Dramatic Double Struck Brockages. The first is
where the coin is "just a little bit double struck". That is, the legends or
images are little more than doubled. Here are some examples:
(Click here for examples of more
dramatically double struck types).
(Slightly) Double Struck Brockages
(With magnified views of legend on the right)

1800A Austrian 1 Kruetzer


1800S Austrian 3 Kruetzer


1942-1945 British India 2 Annas

1840 British India Rupee
Page 2 shows some more dramatic examples of Double Struck Brockages.