biscornu

{{Short description|Ornamental pincushion}}

{{refimprove|date=December 2009}}

File:Thai biscornu with orchid cross-stitch decoration.jpg-themed biscornu, stitched on 14-count white Aida.]]

A biscornu is a small, octagonal, stuffed ornamental pincushion.{{Cite journal |last=Saluja |first=Kavita |date=2017 |title="The Rabbit Hole" – New Frameworks of Awareness for Fashion Pedagogy |url=https://thescopes.org/journal/art-and-design/art-and-design-15/the-rabbit-hole-new-frameworks-of-awareness-for-fashion-pedagogy |journal=Scope (Art & Design) |volume=15 |pages=120–127}} It is usually made out of Aida cloth or linen,{{cite book|last=Watts|first=Bobbie|title=Teach Yourself to Make Biscornu (Leisure Arts #5406)|url=https://books.google.com/books?id=U4N3CDORQZUC|accessdate=9 August 2014|date=January 2012|publisher=Leisure Arts|isbn=978-1-60900-122-3|page=1}} sewn from two square sheets of cloth (forming the top and bottom of the cushion) in such a way that each corner of one square is hemmed to the middle of a side of the opposite square.{{cite web|url=http://www.nordicneedle.net/guides/how-to-make-biscornu/|title=Biscornu How To|work=Nordic Needle|accessdate=2017-11-30}}{{Cite journal |last=Seaton |first=Katherine A. |date=2021-10-02 |title=Textile D-forms and D 4d |journal=Journal of Mathematics and the Arts |language=en |volume=15 |issue=3–4 |pages=207–217 |doi=10.1080/17513472.2021.1991134 |s2cid=232257692 |issn=1751-3472|doi-access=free |arxiv=2103.09649 }}

Embroidery, hardanger, and/or cross-stitch are used to decorate the top and bottom of the cushion. A button is typically secured in the center of the cushion to give a small depression on the top.{{Cite web |last= |date=2017-04-27 |title=Biscornu |url=https://www.trc-leiden.nl/trc-needles/individual-textiles-and-textile-types/accessories/biscornu |access-date=2022-10-19 |website=TRC Needles |publisher=Textile Research Center Leiden |language=en-gb}} Beads, tassels and other objects can decorate the biscornu. They are typically able to fit in the palm of your hand. The name is derived from the French adjective, biscornu, meaning skewed, quirky or irregular.

Mathematically, two squares joined together in the pattern of a biscornu will form the boundary of a unique convex polyhedron, by Alexandrov's uniqueness theorem.{{cite book

| last1 = Devadoss | first1 = Satyan L. | author1-link = Satyan Devadoss

| last2 = O'Rourke | first2 = Joseph | author2-link = Joseph O'Rourke (professor)

| isbn = 978-0-691-14553-2

| mr = 2790764

| pages = 185

| publisher = Princeton University Press | location = Princeton, NJ

| title = Discrete and Computational Geometry

| url = https://books.google.com/books?id=InJL6iAaIQQC&pg=PA185

| year = 2011}}. In the case of a biscornu, this polyhedron is a flattened square antiprism, with ten faces: two smaller squares (diagonally inset into the squares from which the shape is formed) and eight isosceles right triangles (the corners of its original squares) around the sides. However an actual biscornu will have a somewhat more rounded shape than this polyhedron.