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1
Combine the eggs, dashi, light soy sauce and mirin in a bowl and beat until fully integrated; the mixture will appear very liquid — this is correct. Set a rectangular tamagoyaki pan over medium heat and oil it thoroughly with a folded paper towel. Test the temperature with a drop of egg mixture: it must set on contact without aggressive sizzling.
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2
Pour a thin layer of egg mixture into the pan — thin enough that the surface of the pan is just visible through the batter before it begins to set. Allow to cook until the top surface is still slightly moist but no longer wet-liquid. This thinness is what will produce the characteristic silky, bonded stripes in the finished cross-section; a thick layer will never bond properly to the next.
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3
This is where the dish lives or dies. At the precise moment the top surface is still slightly moist — not liquid, not fully set — roll the egg confidently and continuously toward you to the far edge of the pan. Hesitation here is fatal: any pause allows the unrolled portion to fully set and adhere to the pan. The roll must be a single, smooth, unbroken motion.
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4
Oil the exposed pan surface with the paper towel, slide or lift the roll back to the far edge, and pour the next thin layer of batter beneath and around it. Repeat the rolling sequence — layer by layer — until all the batter is incorporated, re-oiling between each layer. Each completed roll should be moved back to give the new layer the full pan surface.
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5
Release the finished roll onto a sushi mat while still hot and press it firmly into a rectangular form. Hold the shape as it cools. The cooled dashimaki, when pressed gently, should quiver — a trembling, yielding jiggle that signals the high dashi content and the correct ratio of liquid to egg.
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6
Slice across the roll to reveal the cross-section. The stripes of bonded layers should be distinct, fine, and uniform in thickness. Serve warm or at room temperature.