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4 time. The term "quarter note" is a calque (loan-translation) of the German term Viertelnote . In Romance languages , the name of this note and its equivalent rest is usually derived from the Latin negra meaning 'black'—the Catalan, French, Galician, and Spanish names for the note (all of which mean 'black') derive from the fact that the ...
The most efficient way to pack different-sized circles together is not obvious. In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap. The associated packing density, η, of an ...
Mathematics and fiber arts. A Möbius strip scarf made from crochet. Ideas from mathematics have been used as inspiration for fiber arts including quilt making, knitting, cross-stitch, crochet, embroidery and weaving. A wide range of mathematical concepts have been used as inspiration including topology, graph theory, number theory and algebra.
Crochet (English: / k r oʊ ˈ ʃ eɪ /; [1] French: [2]) is a process of creating textiles by using a crochet hook to interlock loops of yarn, thread, or strands of other materials. [3] The name is derived from the French term croc, which means 'hook'. [4] Hooks can be made from a variety of materials, such as metal, wood, bamboo, bone or even ...
The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane whose interiors are disjoint. A circle packing is a connected collection of circles (in general, on any Riemann surface) whose interiors are disjoint. The intersection graph of a circle packing ...
Here n is a fixed integer, and the square lattice consists of unit squares with the origin as a vertex of 4 of them, so that both x and y are half-integers. [1] One of 1024 possible domino tilings of an order 4 Aztec diamond A domino tiling of an order-50 Aztec diamond, chosen uniformly at random. The four corners of the diamond outside of the ...
The hexagonal packing of circles on a 2-dimensional Euclidean plane. These problems are mathematically distinct from the ideas in the circle packing theorem.The related circle packing problem deals with packing circles, possibly of different sizes, on a surface, for instance the plane or a sphere.
Circle packing in a square is a packing problem in recreational mathematics, where the aim is to pack n unit circles into the smallest possible square. Equivalently, the problem is to arrange n points in a unit square aiming to get the greatest minimal separation, dn, between points. [ 1] To convert between these two formulations of the problem ...
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