Firstly please excuse spelling, havent got me book.
Its not horses hoof fungus - Fomes fomentidus, It rearly does look like a horses hoof, Good to have common names sometimes.
The tree looks a bit like Oak, if so i'd say Beef steak fungus - Fistulina hepatica, hard to tell when their older tho. When new in the year they look like a blue steak sandwiched between layers of bark. Not sure about trama layer type.
There are several types of Ganoderma which grow on Oak. One of them looks simarler to the first picture, but they have a white soft pore area underneath.
Two types of Ganodera are good for trama layers that I have tried, applanatum and adspersum One of these is commonly called Artist Fungus cause u can draw on the white areas rearly easily. Ganoderma brackets are big and numerous.
Hope that helps.