Final answer:
The key difference between histone H3 in heterochromatin and euchromatin involves the methylation status of lysine at position #9; it is methylated in heterochromatin and unmethylated or acetylated in euchromatin.
Step-by-step explanation:
The difference detected between histone H3 in heterochromatic and euchromatic regions connected with the initiation of heterochromatization is that the position #9 lysine is methylated in heterochromatin and unmethylated or acetylated in euchromatin. This methylation results in a more condensed chromatin structure, which is characteristic of heterochromatin and is associated with gene silencing. Conversely, the presence of euchromatin indicates a less condensed chromatin structure conducive to gene transcription.