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What are the terms for the 6 kinds of jigsaw puzzles pieces, based on their configuration of tabs (i.e. innies vs. outies)?

I am wondering what words jigsaw afficionados and competitors use when working as a team to quickly refer to the 6 configurations possible, when solving by shape alone.

The 6 configurations I speak of are:
4 tabs
3 tabs
2 tabs (side by side)
2 tabs (opposing)
1 tab
0 tabs

Note that the question What do you call the interconnecting bits of a puzzle piece in English? gives names for the "tabs" and the holes the tabs fit into. It doesn't name the pieces themselves. I'm after a word which will fit into a sentence like "I need a fribble" where fribble is a piece with a tab on opposite sides.

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    I can think of two other types in addition to the above - an edge piece, and a corner piece. And each of these come with different configurations of "innies" and "outies". – WS2 Jan 07 '17 at 17:01
  • The top answer to the older question however says that there is no common agreement for the terms Despite a few attempts at a comprehensive classification of piece shapes and cutting designs, there is still no generally accepted nomenclature. Manufacturers use a variety of terms, as do puzzlers. Puzzle pieces can have "loops" and "sockets", "knobs" and "holes", "tabs" and "slots", "keys" and "locks", or any of several other alternative designations. @ShreevatsaR – Mari-Lou A Jan 07 '17 at 18:21
  • Therefore if the manufacturers themselves cannot agree on what to call the tabs or blanks, I strongly doubt they have come up with specific terms for specific shapes according to the number of tabs or slots an individual jigsaw piece has. – Mari-Lou A Jan 07 '17 at 18:26

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