Bina's grandmother's red scarf, given to her in a dream. Appears to have a great many interesting abilities, such as efficiently working as a bandage for Bina's arm wounds (including blocking un-light) and being able to stretch to extreme lengths in scenes related to time travel as cracks in the universe (0107-0110, 903-905). It also magically reforms itself, as shown on update 1371.
The scarf is made of red (unspecified material?), with a tone-on-tone floral pattern.
The scarf has appeared in the possession of other characters, including B12 and Josephine.
Bina recalls that grandma "loved her scarves" and always had one around. Thus the scarf is one of many parallels likening Bina to her gutsy, pragmatic grandmother.