height vs width
As suggested the height should be the stock thickness. The width can be the maximum of your dado capability on your saw, OR your router bit width. It's a personal choice, but equal width and height fingers may look better to some folks than to others. However, for your beehive box, I'd make them all the same for simplicity sake.
The answer to your question will only be as detailed and specific as the question is detailed and specific. Good questions also include a sketch or a photo that illustrates your issue. (:< D)
Last edited by woodnthings; 06-14-2017 at 02:34 PM.