If you haven’t seen our Torus Earth post, please do check that out before reading this.

In 2010, Irigi* blogged about a Toroidal World. The entire post is fascinating, but I particularly enjoyed this bit about how days and nights would change on Earth if it were a toroid.

First major change (not mentioning the changing gravity) is a length of days nights. If we put a sun very close to the plane of rotation inclination to the ecliptic 6°), we can see from the Fig. 3., that in the region of former Earth equator (torus‘ “outer equator“), the days and nights would look very similarly to that we know from Earth. Only the day length would be changed to 2.6 hours instead of slow 24 hours days of Earth. As we go to the “north“, e.g. to Europe, we soon reach area, where the light intensity is the same all the time, so there is almost no change of day and night at all! (The sun appears to be always near horizon spinning around at high pace.) Going yet further to the north, we get to area, where is constant night during “winter“ (we are in shadow of the rest of torus), but during “summer“ the day and night cycle would look exactly like near equator. The angle between sun rays and the surface normal is almost 0° and sun is almost at nadir at noon, making the days very hot. There is also an area, where sun never shines. This, of course, depends very wildly on the inclination of the axis - if it was bigger, both inner and outer equators would be illuminated by the same way in both “summer“ and “winter“ - the shadow of torus would not shade the inner radius. During “spring“ and “autumn“, the inner radius would be always shadowed.

Side note: I believe “The Shadow of Torus” should be the name Scandanavian Metal band.

Source: Irigi Bloguje (or, Irigi Blogs)

* This is the only name I could find for the author online.