While the sushi rice is cooling, prepare the sushi cake filling and toppings. Flake the hot-smoked salmon into a bowl, add the sliced scallions and then the kewpie, 1 tablespoon at a time until the mixture binds together. Set aside.
Heat the sesame oil in a medium frying pan over medium-low heat. Crack the eggs into a bowl, add 1 tablespoon of the furikake, and whisk. When the pan is hot, pour in the eggs and quickly swirl the pan so the egg mixture coats the pan evenly and thinly. Cook until the edges are cooked and start to lift. Gently, slide a spatula underneath to flip the egg crepe, letting it cook for a further minute on the other side or until the egg is set. Remove the egg crepe from the pan and place it on a chopping board. When it’s cool enough to handle, roll it up and chiffonade it very finely into long strips (see picture). Set aside to cool completely.
Next, prep the vegetables. Thinly julienne the carrot, or shred it, if you like. Chop the cucumber in half and cut half of it up into thin rounds for the filling. With the other half, use a vegetable peeler to peel long, thin slices of cucumber. Roll each slice up to use as garnish for the top. Then slice the radish into thin disks. Set all the veggies aside. So it doesn’t brown too much, don’t cut up the avocado until you’re ready to assemble the sushi cake; then cut it into enough chunks to cover the surface of your sushi cake.
To assemble the sushi cake, very lightly oil the base and sides of a 20cm springform tin. Then, using wet hands or a wet silicone spatula (sushi rice sticks so much guys!), add 1/3 of the rice to the tin and gently spread and smooth it out until it’s covering the whole surface.
Then layer on the cucumber rounds and shredded carrots before adding another 1/3 of rice to the top if the vegetables, smoothing that out as well.
Next, add the hot-smoked salmon mix, spreading it evenly, top that with chunks of avocado and then the last layer of rice.
Add the nori sheet to the top, and push everything down gently. Flip the sushi cake using a plate larger than the springform tin – this will be the serving plate. Set aside in the fridge for 10 minutes.
When ready to serve, remove the sushi cake from the fridge, release the springform tray and remove the base from the top of the rice. Scatter the remaining furikaki across the top, add the sliced egg crepe to the centre in a nice tall pile, add the podded edamame around the edges, and decorate with the rolled cucumber and radish slices. Present, slice and serve!