Place sugar into mixing bowl and mill 10 sec/speed 10.
Add eggs and insert Butterfly.
Whip eggs for 7 min/50C/speed 3. It'll form an almost meringue like texture, smooth and creamy (and delicious, just sayin')
Melt the butter in the warm oven and also butter a 20cm pan.
Add the vanilla essence to the melted butter
Add the butter mix to the Thermomix bowl, for 5 sec/speed 4.
Remove Butterfly and add the flour.
Mix the dough for 10 seconds on interval speed (dough setting).
Pour into the prepared tin and bake for 15 - 20 minutes.
It should be springy to the touch.
Cool for 5 minutes before turning out onto rack to cool completely, then freeze for 30 minutes before cutting.
To Ice
Put butter and milk into mixing bowl and cook 2 min/80 C/speed 2..
Add sugar and cocoa and blend for 20 - 25 sec/speed 4.
Sprinkle coconut onto a tray, and pour icing into a bowl.
Dip the cake pieces into the icing and make sure it's totally coated. Put the cake onto the coconut, and toss it around so that it all is covered by coconut. If you hold it, it doesn't receive an even coating.
Place on a stone tray or in a glass bowl and leave to set.
Recipe by Keeper of the Kitchen at https://www.keeperofthekitchen.com/2014/01/25/thermomix-lamington-recipe-for-australia-day/