All of the shoelace knots shown on this website use the same “Left-over-Right Starting Knot”. Here's how to tie this basic knot, known as a “Half Knot”.
Cross the left (blue) end over the right (yellow) end. The left (blue) end is now on the right side.
Begin to wrap the right (blue) end around the front of the left (yellow) lace to end up at the back of the gap between the laces.
Feed the right (blue) end through the gap to emerge at the front right-hand side.
Pull both ends tight to complete the knot.
The finished Starting Knot is basically the two shoelace ends twisted together as they pass by each other at the middle of the shoe.