Have there ever been simultaneous cyclones in the same ocean but different hemispheres? I'm teaching a physics class, and I'm getting to the point where we are talking about the Coriolis effect.  I usually show a couple of photos/videos showing a storm in the Northern Hemisphere and a storm in the Southern Hemisphere, and talk about why they rotate different directions. 

However, it occurred to me that at some point in history, there could well have been two storms occurring in the same ocean but in different hemispheres.  Has this ever occurred?  This would most likely have to be in the Pacific or Indian Oceans (probably the Pacific, since from what I've gathered the Northern Indian Ocean is less active than most other cyclone basins.)  Ideally, a photo/video of this event would exist that I could show my students.
It does occasionally happen. Not often, because to kick-start a hurricane there has to be some rotation to start with, from the Coriolis effect, together with a sea surface temperature of >27 &deg;C (+ some other requirements such as lack of horizontal shear). This combination is best met during summer when one or other hemisphere is tilted towards the sun, so the hurricane seasons in both hemispheres tend to be 6 months out of synchronization. But there are occasional overlaps, as in this vector composite, found at http://www.wunderground.com/blog/JeffMasters/archive.html?year=2015&amp;month=06&amp;MR=1