After months of painstaking research, I came to no conclusion whatsoever. Then, after an instant of proper guidance by someone in my neighborhood, I found the answer to the question posed on the previous page: 366. Here's how it goes:
         A sidereal day is defined as "the time required for a complete rotation of the earth in reference to any star or to the vernal equinox at the meridian, equal to 23 hours, 56 minutes, 4.09 seconds in units of solar mean time." In other words, a sidereal day is the time it takes to compete full rotation, and you'll find that it actually takes 366 of these to equal 365 "solar" days.
         In case you don't quite understand why a sidereal day should be shorter than a solar day, here's a short explanation. Again, imagine the sun and earth from above, with the sun at the center of a clock and the earth at 3 o'clock. The earth revolves around the sun counter-clockwise, moving to 2 o'clock. In this time (as an example; the angles aren't even close to correct here), the earth has rotated 360 degrees (also counter-clockwise), forming one full sidereal day. However, from the perspective of someone on earth, say at the left-most edge, the sun isn't yet in the same position in the sky as it was at the beginning of the sidereal day. Before, it was directly overhead, and now, one full rotation later, it is slightly off to an angle. The earth must rotate a bit more before the sun is directly overhead again and a solar day has been completed. This slight excess means that 365 solar days require 366 sidereal days.