WHOLE CHARACTER
交jiāo
to hand in; to hand over (付托,付给); to communicate; to associate (互相来往联系); to cross; to intersect (相错,接合); traffic (交通)
交 hands things over and joins them: 交流 'communicate', 交通 'traffic', 交给 'hand to'.
ZDIC: 象形,像人两腿交叉之形 — a pictograph of crossed legs; the source names no components. The crown-over-crossing-pair split is a visual aid only.
TOP: THE TWO-STROKE CROWN (A BOUND WRITTEN PIECE)
亠tóu
the two-stroke crown (dot over a line)
The dot-and-line crown; the written top of several characters with no general historical role claimed; each page states its own role.
In 交: top: the two-stroke crown (a bound written piece) Shown with its documented or clearly limited role.
BOTTOM: THE FOUR STROKES WRITTEN LIKE THE FATHER GRAPH 父
父fù
father
Father-related clue in 爸.
In 交: bottom: the four strokes written like the father graph 父 No father meaning is claimed in 交; the pictograph account covers the whole graph.