Preheat the oven to 375F (190C) convection (350F/177C conventional) and grease a 6" square cake pan (or as many as you have since you’ll need six layers) .
In a large bowl, combine the almond flour, the 1/2 cup of granulated sugar, salt, vanilla extract and whole eggs. Beat the mixture for 2-3 minutes, at high speed, until the color lightens and the batter looks fluffy.
1 cup (100g) almond flour, 1/2 + 1/4 cup (100g + 50g) granulated sugar, 1/4 tsp salt, 1 tsp vanilla extract, 3 large eggs
In a separate bowl, beat the 1/4 cup of granulated sugar with the egg whites, at medium high speed, just until stiff peaks form, 1-2 minutes. Don't over-whip (if you do, see the troubleshooting section).
3 large egg whites
With a clean spatula, gently fold 1/3rd of the egg whites into the batter until it's fully incorporated. Fold in the second 1/3rd of the egg whites into the batter and then the last 1/3rd.
Sift half of the flour over the batter, gently fold it in just until it's combined and then repeat with the second half. Pour the melted butter around the edge of the bowl and gently fold it in until it's fully incorporated.
1/2 cup (60g) all-purpose flour, 2 Tbsp (28g) melted butter
Pour 1/6 of the batter into the prepared pan (about 3.5oz) and use an offset spatula to spread it evenly. Bake the cake for 7 seven minutes, on the middle rack, just until it releases from the edge of the pan a little and the cake springs back when you press on it.
Invert the cakes onto a flat surface and then repeat with the rest of the batter. You should get 6 thin layers total.