Variations:

1. If having the knot inside the shoe is uncomfortable, position it on the
outside by feeding the knotted shoelace
into the top right eyelet. Alternatively, you can feed the shoelace through the eyelet and then tie the lace back
onto itself. In other words, knot the shoelace onto the eyelet.
2. For a tighter, more secure fit, substitute either thicker shoelaces or cotton shoelaces with a rougher surface.
3. For greater security, the loose end may be passed a second time through the bottom right eyelet (or any convenient eyelet).
Because this eyelet ends up with two passes of shoelace, it will be quite a tight fit, which will stay pretty secure.
4. For maximum security, pass the loose end back out through the top left eyelet, then tie it off with a simple
loop knot as shown in the
One Handed Shoelace Knot.
5. A decorative way to use up the excess length of the loose end is to weave the shoelace up and down through the
horizontal sections, forming a woven mat (as in the fourth photo below).
6. The left and right shoes can be laced in reverse (mirror image) so as to end up with a symmetrical look.

7. This diagram, taken from a 1929 book
"Scouting for Boys" and sent to me by Alex, shows a very similar method:
"Shoe Laced in the Scout's Way". While it's not meant specifically for one hand, it can be used exactly the
same way, and could be considered a One Handed Lacing variation. The main difference is that it starts at the
bottom, then runs diagonally to the top before continuing as above.