In the below code, I create my own little macro which makes a subsubsection heading. I then call the macro and type out verbatim what the macro says, and I get a different spacing.
\documentclass{article}
\newcommand{\eepoint}[1]{\vspace{3mm}\par\refstepcounter{subsubsection}\noindent{\bf \thesubsubsection.} {\em #1.}
}
\begin{document}
\eepoint{A buncha stuff} And some more stuff
\vspace{3mm}\par\refstepcounter{subsubsection}\noindent{\bf \thesubsubsection.} {\em A buncha stuff.} And some more stuff
\end{document}
What is that space that is added there?
I actually like it: I think it looks nice. So if I type out everything the macro says manually, how do I produce the exact same spacing?
Also, sometimes when I do it manually, I get a little indent. (It hasn't shown up in this MWE for some reason: often the 0.0.2. line is indented just a little). Any ideas about fixing this?

{\em #1}– egreg Nov 24 '16 at 14:26\noindent) – David Carlisle Nov 24 '16 at 14:27\eepointcontains the phrase{\em #1.}. TeX' reading apparatus attaches a space at the end of each line of input. Thus there is a space at the closing brace that gets tokenized as space token. This space token will be "spit out" whenever\eepointgets expanded. (Can be avoided by%at ends of lines.) In the document-body, the call\eepoint{A buncha stuff} And some more stuffalso contains a space behind the closing brace which gets tokenized too. Therefore summa sumarum you get two consecutive space tokens, each of them delivering horizontal space. – Ulrich Diez Nov 24 '16 at 22:14\quad-command. Afaik it delivers horizontal space in the width of the capital letter M. Or\qquaddelivers horizontal space in the width twice of the capital letter M. If you do so, consider using\ignorespacesat the end of the definition of your macro for ensuring spaces after the closing brace of the argument of\eepointdon't deliver additional horizontal space. – Ulrich Diez Nov 24 '16 at 22:19