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De Vaan 2008 derives Latin -plex from Proto-Italic*-pleks, from the e-grade of the root *pleḱ-, and Greek -πλαξ(-plax) from Proto-Indo-European*-pl̥ḱ-, the zero-grade ablaut variant of the same root. De Vaan considers the meaning and etymology of the Umbrian form to be unclear. At the same time, De Vaan reconstructs simplex as coming from Proto-Italic*sm̥-plak-s.
Others accept the Umbrian form as a cognate, which suggests Proto-Italic*-plaks: this complicates the etymology from *pleḱ-(“to plait, to weave”). Flemestad and Olsen 2017 treat all three of duplex, 𐌕𐌖𐌐𐌋𐌀𐌊(tuplak), and δίπλαξ(díplax) as cognates, and prefer to derive them from the root *pel-(“fold”) combined with a suffix *-ak-.
Some argue that Greek -πλαξ(-plax) is not from *pleḱ-(“to plait, to weave”), but from an unrelated root found in πλάξ(pláx, “surface”), which van Beek 2022 identifies as coming from *plek‑(“to strip, flay”).
Coleman 1992 suggests duplex and 𐌕𐌖𐌐𐌋𐌀𐌊(tuplak) might be derived from Proto-Indo-European*pleh₂-(“flat”), the root of plānus, which he considers to be an extension of *pel-.
^ Kent, Roland G. (1932) “The Sounds of Latin. A Descriptive and Historical Phonology”, in Language, volume 8, number 3, →JSTOR, page 103
↑ 2.02.1De Vaan, Michiel (2008) “-plex”, in Etymological Dictionary of Latin and the other Italic Languages (Leiden Indo-European Etymological Dictionary Series; 7), Leiden, Boston: Brill, →ISBN, page 473
^ De Vaan, Michiel (2008) “-sem-, sim-”, in Etymological Dictionary of Latin and the other Italic Languages (Leiden Indo-European Etymological Dictionary Series; 7), Leiden, Boston: Brill, →ISBN, page 553
^ Flemestad, Peder, Olsen, Birgit Anette (2017) “Sabellic Textile Terminology”, in Textile Terminologies from the Orient to the Mediterranean and Europe, 1000 BC to 1000 AD, →DOI, page 219
^ Lucien van Beek (2022) “Chapter 10 The Reflexes of *l̥”, in The Reflexes of Syllabic Liquids in Ancient Greek, Leiden, The Netherlands: Brill, →ISBN
^ Coleman, Robert (1992) “Chapter 12: Italic”, in Jadranka Gvozdanović, editor, Indo-European Numerals, Mouton de Gruyter, page 423