Mapping a "China Syndrome" meltdown... in theory

Our hearts go out to the brave Japanese people dealing with the nuclear crisis in Fukushima. Occasionally pundits will mention the possibility of a "China Syndrome"... a theory put forward in the late 1960s by nuclear physicist Ralph Lapp that a nuclear power plant meltdown could melt right through to the other side of the earth. While that may be theoretically possible, no one is seriously suggesting it will happen to the Fukushima reactors. Nonetheless—always on the lookout for geographic curiosities—we wondered what was actually on the opposite side of the earth from the Fukushima reactors. Luckily, the spot is perhaps the most remote place on earth, a location in the south Atlantic that's devoid of islands, and 1,000+ miles from South America. If you wonder what's on the opposite side of the earth from where you are, there's a web site to help you find that spot (called the "Antipodal Point") here.  And I can't help but mention that a person standing on your antipodal point would be exactly upside-down, relative to you.