Where does “logogrammic” come from?

logogrammic (English) comes from English logogram, from English logo, from English logotype, from English type, from Middle English type, from Latin typus, from Ancient Greek τύπος, from Ancient Greek τύπτω — to push, to hit.

Ancestry of “logogrammic”, step by step

logogrammic traces back through two separate lines of ancestry.

via English logogram

StepLanguageWordMeaning
1EnglishlogogramA character or symbol that represents a word or...
2EnglishlogoA visual symbol or emblem that acts as a...
3EnglishlogotypeA symbol or emblem that acts as a trademark or a...
4EnglishtypeA grouping based on shared characteristics; a...
5Middle Englishtypesymbol, figure, emblem
6Latintypusfigure, image; type, form, sort, kind; form,...
7Ancient GreekτύποςA blow, pressing; The results of a blow: mark,...
8Ancient Greekτύπτωto beat, strike, smite; to beat, strike oneself
9Proto-Indo-European(s)tewp-to push, to stick
10Proto-Indo-European(s)tew-to push, to hit

via English ic

StepLanguageWordMeaning
1Englishicrelated or pertaining to; having the character of
Every word from Proto-Indo-European (s)tew-