Place almond flour, ¾ cup +2 ½ tablespoons (205 g) caster sugar, and rice flour in a bowl of the food processor and crush the dry mixture until homogeneous. Add this mixture to the meringue to two-three times and mix with a rubber spatula.
Prepare three parchment paper sheets and draw three discs with a diameter of 8.5 inches/22 cm. Flip these paper sheets so that the drawn circles will be facing down.
Transfer the preparation to a pastry bag fitted with Ateco plain pastry tip 809 and pipe three dacquoise disks in a spiral shape within the pencil marks. Bake for 12 to 15 minutes. Remove the ready dacquoise disks from the oven and let them cool.
To make the buttercream, place egg yolks with the scraped vanilla seeds in a stand mixer bowl and whisk. In a saucepan, place water, honey (warm it up in a microwave for a few seconds in advance), and granulated sugar and bring to a boil.
Once the syrup reaches 250°F (121°C), pour the sugar syrup into the egg yolks while whisking. Once the mixture cools down and becomes whitish, add the softened butter cubes, one at a time, and continue whisking till the cream becomes smooth and homogeneous.
To assemble the cake, cut the dacquoise disks’ edges with a knife to get the right circles. Cover the first dacquoise disk with the buttercream, and sprinkle with toasted almonds.
Place the second disk and repeat the operation. Finally, put with the third disk and cover the cake’s top and edges with buttercream. Sprinkle the cake all over with flaked almonds. Dust the top of the cake with icing (powdered) sugar. Refrigerate for at least 2 hours.
NOTES
300 g egg whites approximately equal to 9 raw fresh egg whites from large-sized chicken eggs.
112 egg yolks approximately equal to 6.5 raw fresh egg yolks from large-sized chicken eggs.
Don’t overmix the dacquoise mixture: it must remain airy before baking.
Spread the meringue mixture with an offset spatula instead of making a spiral with a pastry bag and a tip.
Roast sliced almonds in the oven at 300°F/150°C for 15 minutes.
Serve the cake at room temperature: take it out of the fridge 30 minutes before serving.
Make ahead option: Bake dacquoise disks in the evening and keep them in a cool place. Assemble the cake the next day.
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