This Hessian Miter Cap is made of cloth and brass, and measures 9.25″ x 7″ x 8.75″. This example is from the Fusilier Regiment von Knyphausen which was a regiment in the Second Division of soldiers from Hesse in Germany. The styling would distinctly set them apart from other regiments and soldiers. For source and more details, click here.
Image from: http://amhistory.si.edu/militaryhistory/collection/object.asp?id=320&printable=1