Template:4 sphere Johnston diagrams

The 15 cells of these Venn diagrams (except the surrounding) correspond to the vertices of the tesseracts tetrahedral shadow.

This is a 4 shphere Venn diagram, representing a 4-ary Boolean function.

The spheres stand for sets or statements A, B, C, D.

Examples:

$A\cap B$	$\cap$	$C~$	$=~$	$A\cap B\cap C$
	$\cap$		$=~$

$A\cap B\cap C$	$\cap$	$D~$	$=~$	$A\cap B\cap C\cap D$
	$\cap$		$=~$

$\{\}^{C}~$	$\setminus ~$	$D~$	$=~$	$D^{C}~$
	$\setminus ~$		$=~$

The POV-Ray source is given for 0000 0001 0001 0110 and 1111 1111 0000 0000.