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Biscornu
A biscornu is a small, octagonal, stuffed ornamental pincushion. It is usually made out of Aida cloth or linen, 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. 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. 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.. In the case of a biscornu, this polyhedron is a flattened square antiprism, with ten faces: two smaller squares (di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Biscornu
A biscornu is a small, octagonal, stuffed ornamental pincushion. It is usually made out of Aida cloth or linen, 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. 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. 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.. In the case of a biscornu, this polyhedron is a flattened square antiprism, with ten faces: two smaller squares (di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paper Bag Problem
In geometry, the paper bag problem or teabag problem is to calculate the maximum possible inflated volume of an initially flat sealed rectangular bag which has the same shape as a cushion or pillow, made out of two pieces of material which can bend but not stretch. According to Anthony C. Robin, an approximate formula for the capacity of a sealed expanded bag is: :V=w^3 \left (h/ \left (\pi w \right ) -0.142 \left (1-10^ \left (-h/w \right ) \right ) \right ), where ''w'' is the width of the bag (the shorter dimension), ''h'' is the height (the longer dimension), and ''V'' is the maximum volume. The approximation ignores the crimping round the equator of the bag. A very rough approximation to the capacity of a bag that is open at one edge is: :V=w^3 \left (h/ \left (\pi w \right ) -0.071 \left (1-10^ \left (-2h/w \right ) \right ) \right ) (This latter formula assumes that the corners at the bottom of the bag are linked by a single edge, and that the base of the bag is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pincushion
A pincushion (or pin cushion) is a small, stuffed cushion, typically across, which is used in sewing to store pins or needles with their heads protruding to take hold of them easily, collect them, and keep them organized. Pincushions are typically filled tightly with stuffing to hold pins rigidly in place. Magnetic pin cushions are also sometimes used; though technically they are not "cushions", they serve the same basic function of holding pins neatly. History The recorded origins of pincushions date back to the Middle Ages of Europe. In the English language, they became known by many names: "pimpilowes, pimpilos, pimplos, pimploes, pin-pillows, pin-poppets". In 1376, Jehanne de Mesnil was bequeathed a silver pin case in a French text called ''Testament of Advice'' written by a woman known as La Monteure, from Rouen. Other references to pin cases during the Medieval era exist. By the 16th century, these were supplanted by references to "pyn pillows". Some examples from variou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Square Antiprism
In geometry, the square antiprism is the second in an infinite family of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. It is also known as an ''anticube''. If all its faces are regular, it is a semiregular polyhedron or uniform polyhedron. A nonuniform ''D''4-symmetric variant is the cell of the noble square antiprismatic 72-cell. Points on a sphere When eight points are distributed on the surface of a sphere with the aim of maximising the distance between them in some sense, the resulting shape corresponds to a square antiprism rather than a cube. Specific methods of distributing the points include, for example, the Thomson problem (minimizing the sum of all the reciprocals of distances between points), maximising the distance of each point to the nearest point, or minimising the sum of all reciprocals of squares of distances between points. Molecules with square antiprismatic geometry According to the VSEPR theory of molecul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isosceles Right Triangle
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. This is called an "angle-based" right triangle. A "side-based" right triangle is one in which the lengths of the sides form ratios of Natural number, whole numbers, such as 3 : 4 : 5, or of other special numbers such as the golden ratio. Knowing the relationships of the angles or ratios of sides of these special right triangles allows one to quickly calculate various lengths in geometry, geometric problems without resorting to more advanced methods. Angle-based "Angle-based" special right triangles are specified by the relationships of the angles of which the triangle is composed. The angles of these triangles are such that the larger (right) angle, which is 90 degree (angle), degrees or radians, is e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexandrov's Uniqueness Theorem
The Alexandrov uniqueness theorem is a rigidity theorem in mathematics, describing three-dimensional convex polyhedra in terms of the distances between points on their surfaces. It implies that convex polyhedra with distinct shapes from each other also have distinct metric spaces of surface distances, and it characterizes the metric spaces that come from the surface distances on polyhedra. It is named after Soviet mathematician Aleksandr Danilovich Aleksandrov, who published it in the 1940s. Statement of the theorem The surface of any convex polyhedron in Euclidean space forms a metric space, in which the distance between two points is measured by the length of the shortest path from one point to the other along the surface. Within a single shortest path, distances between pairs of points equal the distances between corresponding points of a line segment of the same length; a path with this property is known as a geodesic. This property of polyhedral surfaces, that every pair ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Convex Polyhedron
A convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the n-dimensional Euclidean space \mathbb^n. Most texts. use the term "polytope" for a bounded convex polytope, and the word "polyhedron" for the more general, possibly unbounded object. Others''Mathematical Programming'', by Melvyn W. Jeter (1986) p. 68/ref> (including this article) allow polytopes to be unbounded. The terms "bounded/unbounded convex polytope" will be used below whenever the boundedness is critical to the discussed issue. Yet other texts identify a convex polytope with its boundary. Convex polytopes play an important role both in various branches of mathematics and in applied areas, most notably in linear programming. In the influential textbooks of Grünbaum and Ziegler on the subject, as well as in many other texts in discrete geometry, convex polytopes are often simply called "polytopes". Grünbaum points out that this is solely to avoi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
French Language
French ( or ) is a Romance language of the Indo-European family. It descended from the Vulgar Latin of the Roman Empire, as did all Romance languages. French evolved from Gallo-Romance, the Latin spoken in Gaul, and more specifically in Northern Gaul. Its closest relatives are the other langues d'oïl—languages historically spoken in northern France and in southern Belgium, which French ( Francien) largely supplanted. French was also influenced by native Celtic languages of Northern Roman Gaul like Gallia Belgica and by the ( Germanic) Frankish language of the post-Roman Frankish invaders. Today, owing to France's past overseas expansion, there are numerous French-based creole languages, most notably Haitian Creole. A French-speaking person or nation may be referred to as Francophone in both English and French. French is an official language in 29 countries across multiple continents, most of which are members of the ''Organisation internationale de la Francophonie'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thai Biscornu With Orchid Cross-stitch Decoration
Thai or THAI may refer to: * Of or from Thailand, a country in Southeast Asia ** Thai people, the dominant ethnic group of Thailand ** Thai language, a Tai-Kadai language spoken mainly in and around Thailand *** Thai script *** Thai (Unicode block) People with the name * Thai (surname), a Vietnamese version of Cai, including a list of people with the name * Thai Lee (born 1958), an American businesswoman * Thai Nguyen, US-based Vietnamese fashion designer and television personality Other uses * Thai (cannabis), a name for the drug * Thai Airways, the national airline of Thailand * Thai cat, a breed of cat * Thai, a month in the Tamil calendar * Toe to Heel Air Injection (THAI), a method of extracting oil from oil sands See also * * Dai (other) * Tai (other) * Tay (other) * Thais (other) * Thay (other) * Tie (other) * Siam (other) * Tai peoples or Thai peoples, the ethnic groups of southern China and Southeast As ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tassel
A tassel is a finishing feature in fabric and clothing decoration. It is a universal ornament that is seen in varying versions in many cultures around the globe. History and use In the Hebrew Bible, the Lord spoke to Moses instructing him to tell the Israelites to make tassels (Hebrew tzitzit) on the corners of their garments, to help them to remember all the commandments of the Lord and to keep them (Numbers 15:37-40), and as a sign of holiness. The religious Hebrew tassel, however, bears little resemblance to the decorative one which appeared and eventually became popular in Europe, especially France and Spain. In the West, tassels were originally a series of windings of thread or string around a suspending string until the desired curvature was attained. Later, turned wooden moulds, which were either covered in simple wrappings or much more elaborate coverings called ''satinings'', were used. This involved an intricate binding of bands of filament silk vertically around the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Button
A button is a fastener that joins two pieces of fabric together by slipping through a loop or by sliding through a buttonhole. In modern clothing and fashion design, buttons are commonly made of plastic but also may be made of metal, wood, or seashell. Buttons can also be used on containers such as wallets and bags. Buttons may be sewn onto garments and similar items exclusively for purposes of ornamentation. In the applied arts and craft, a button can be an example of folk art, studio craft, or even a miniature work of art. In archaeology, a button can be a significant artifact. History Buttons and button-like objects used as ornaments or seals rather than fasteners have been discovered in the Indian Indus Valley civilization during its Kot Diji phase (c. 2800–2600 BC), at the Tomb of the Eagles, Scotland (2200-1800 BC), and at Bronze Age sites in China (c. 2000–1500 BC) and Ancient Rome. Buttons made from seashell were used in the Indus Valley Civilization for ornam ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cross-stitch
Cross-stitch is a form of sewing and a popular form of counted-thread embroidery in which X-shaped stitches in a tiled, raster-like pattern are used to form a picture. The stitcher counts the threads on a piece of evenweave fabric (such as linen) in each direction so that the stitches are of uniform size and appearance. This form of cross-stitch is also called counted cross-stitch in order to distinguish it from other forms of cross-stitch. Sometimes cross-stitch is done on designs printed on the fabric (stamped cross-stitch); the stitcher simply stitches over the printed pattern. Cross-stitch is often executed on easily countable fabric called aida cloth whose weave creates a plainly visible grid of squares with holes for the needle at each corner. Fabrics used in cross-stitch include linen, aida cloth, and mixed-content fabrics called 'evenweave' such as jobelan. All cross-stitch fabrics are technically "evenweave" as the term refers to the fact that the fabric is woven to mak ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
