Dead engine

I have a 1986 Chrysler 5th Ave. V-8 with 180,000 miles.
Battery is 4 months old.
Alternator is 2 months old
Voltage regulator is 2 months old.
All 3, 5, 10, 15, and 20 amp fuses are good.

I drove the car for about 30 min then parked. When I tried to start the car 20 min later it would not start.

No headlights, horn or dash lights.
Was unable to start car using jumper cables.

When I turn the ign. Key I do not hear the click that is usual when trying to start with a dead battery.

Checked for frayed or broken wires and found none.
I haven't a clue as to what the problem is.

Sure could use some insight as to what to look for next.