it is called Low Carb High Fat - but you only need to eat as much fat as you want to make sure you don't go hungry. It is probably better described as Low Carb and enough fat.
Have a look at
www.dietdoctor.com
And the low carb section of this forum.
http://www.diabetes.co.uk/forum/category/low-carb-diet-forum.18/
I have never eaten better, and enjoyed my food more.
Also this thread gives some fantastic cakes, puds and treats that are both delicious and excellently low in carbs and sugar.
http://www.diabetes.co.uk/forum/threads/what-have-you-eaten-today.75781/
Most people eating this way find that they lose weight, so if you don't want to lose any, you may have to eat more than you expect.
I never go hungry.
