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A Gabriel's horn (also called Torricelli's trumpet) is a type of geometric figure that has infinite surface area but finite volume. The name refers to the Christian tradition where the archangel Gabriel blows the horn to announce Judgment Day. The properties of this figure were first studied by Italian physicist and mathematician Evangelista ...
A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular ...
A hornbook (horn-book) is a single-sided alphabet tablet, which served from medieval times as a primer for study, [1] and sometimes included vowel combinations, numerals or short verse. [2] The hornbook was in common use in England around 1450, [ 3 ] but may have originated more than a century earlier. [ 4 ]
v. t. e. Packing problems are a class of optimization problems in mathematics that involve attempting to pack objects together into containers. The goal is to either pack a single container as densely as possible or pack all objects using as few containers as possible. Many of these problems can be related to real-life packaging, storage and ...
B♭ alto — up a perfect fourth. A — up a major third. G — up a major second. E — down a minor second. E♭ — down a major second (used for horn on pitches with multiple sharps until Richard Strauss) D — down a minor third. C — down a perfect fourth. B♭ basso — down a perfect fifth. Some less common transpositions include:
In mathematics, the cake number, denoted by Cn, is the maximum of the number of regions into which a 3-dimensional cube can be partitioned by exactly n planes. The cake number is so-called because one may imagine each partition of the cube by a plane as a slice made by a knife through a cube-shaped cake.
In this example, P is 8 cm from l. In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface ), whose location satisfies or is determined by one or more specified conditions. [ 1][ 2] The set of the points that satisfy some property is often called the ...
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