A Buche De Noel is a traditional cake made to look like a Christmas fire log made in France, Belgium, and other locals. The traditional bûche is made from a Genoise or other sponge cake, generally baked in a large, shallow Swiss Roll pan, frosted, rolled to form a cylinder, and frosted again on the outside. There's usually small meringue mushrooms as well.
Here's a traditional design from Williams Sonoma-tho this one is from last year-I don't like ur one for this year as much, WS!
Many famous pastry masters go off on a fabulous cake tangent with the designs like...
This cake named “Rêve” ("Dream"),by Kenzo Takada for Lenôtre.
The cake-La bûche 2000 feuilles- by Pierre Hermé.
...or this INCREDIBLE Buche De Noel by Canelle et Vanille.