The task is this, how to wire (5) 3-way switch's so that the light will only come on when all the switch's are in the up position, or all the switch's are in the down position.
1 2 3 4 5
One way Id think to accomplish all switches up or down for the light to come on is to :
S3 1) 2 wire black is common - 3 wire black/red travelers / white through to S3 (4)
S3 2) 3 wire black/red travelers - 5 wire yellow - blue to common
S3 3) 5 wire blue - yellow to common - 3 wire black/red travelers
S3 4) 3 wire black/red travelers - 5 wire black - red- blue is common / white -yellow is neutral
S3 5) 5 wire white/ yellow travelers/ 3 wire white is common, black/red to black red, white - yellow to 3 wire white
Light) white to neutral - black -red as switch leg
That's the way I figured to use all the wires.
Key being 1 switch #5 in this case is the determining factor in being either all up or all down .. I may be wrong.
pretty mind boggling to create.