Sharpening eye pencils is the bane of my existence. I love it when you get a new pencil, with its nice sharp tip...but I can never sharpen them to get the same sharp tip thereafter. I think it is the sharpeners. They all seem to contain a little "stop" near the far end of the sharpening hole, which causes the end to be blunt. It is like a little piece of metal stuck in the sharpening hole that prevents the pencil from going too far forward and getting a nice point on it.

I tried putting the pencils in the freezer, but all that did was make the tips break. (I've never had an eye pencil tip break on me while sharpening, so I can only assume that the freezing did it.)

The one I'm using now is Sonia Kashuk, which is made in Germany. Does anyone have any sharpeners that they would recommend? And how often do they need to be replaced?
Low poo: Griffin Remedy Volumizing; Oribe Cleansing Creme
RO: Mineral Fusion Volumizing; Griffin Remedy Volumizing; Aubrey Organics GPB
LI: Alaffia BC; Intelligent Nutrients
Stylers: MGA Sculpting Gel; InnerSense whipped creme texturizer; Sevi Blue Yarrow Styling Pomade; Intelligent Nutrients Volumizing Spray; Intelligent Nutrients Perfect Hold Hairspray
Sealer: Intelligent Nutrients Styling Pomade

Low-porosity 2a baby-fine hair with a coarse section at back of head