A different type of cloak is the one shaped like a half-circle. The evidence for it are not strong, but there are a few finds which could be connected to it.
The first of these finds is from Mammen in Denmark. There larger fragments of an embroidered garment was found. Among these were embroidered masks in a vertical row and smaller masks in a bent row. They would fit well along the front and bottom edges of a half-circle cloak, but there are other interpretations too. And it is quite possible that these fregments were reused from a textile not belonging to clothing.
From Mammen there are also a pair of mystical triangular pieces inset with nalbinding in gold and siver and silk around. At the pointed end the fabric seems to have continued like a band. One possible interpretation, based on contemprorary pictures from England is that they could be the ends of a stola or the bands on a half-circle cloak. They could also have been the ends of a girdle.
From a woman’s grave in Hörning, not far from Mammen, there are finds of wide tablet woven braids with silver thread, reaching from the head down to at least the knees of the deceased. One interpretation is that they sit along the front edge of a large veil, but it could also be a half-circle cloak.
These finds are all from the 11th century, close to the end of the Viking age. That means that you possibly could use the half-circle cloak from Leksand as a kind of source too. Even if it is from the 13th century it is unfashionable in its making. It too has wide tablet woven braids along the front edge.
On the pictures you see one interpretation of these finds. The one seen on the photos is also inspired by the story about the seeress in Greenland, which also takes place during the 11th century. She wore a dark blue cloak with precious stones along the front edges which were held together with a band.
You can buy pattern for a half-circle cloak here: Outdoor Clothing. But it is of course quite possible to make one without a pattern.