Cut the cucumber into 4 vertical slices.

Cut the ham into halves.

Crack the egg into a bowl, add a pinch of salt, and whisk to combine.

Heat a pan with oil and cook 1/3 of the egg mixture into a thin omelet. Repeat to make 3 thin omelets.

Mix the sushi vinegar ingredients in a bowl, then combine with the cooked rice.

Place 1.5 thin omelets on plastic wrap, layer with 4 ham slices, and roll tightly. Repeat for 2 rolls.

Place half a sheet of seaweed on a sushi mat, spread half the rice evenly, and layer with 2 cucumber slices and 1 ham-egg roll. Roll tightly.

Repeat the process to make another roll.