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In the mathematical theory of hypergraphs, a hedgehog is a 3-uniform hypergraph defined from an integer parameter . It has t + ( t 2 ) {\displaystyle t+{\tbinom {t}{2}}} vertices, t {\displaystyle t} of which can be labeled by the integers from 1 {\displaystyle 1} to t {\displaystyle t} and the remaining ( t 2 ) {\displaystyle {\tbinom {t}{2 ...
An example of a concave polygon. A simple polygon that is not convex is called concave, [1] non-convex [2] or reentrant. [3] A concave polygon will always have at least one reflex interior angle—that is, an angle with a measure that is between 180 degrees and 360 degrees exclusive. [4]
A hypocycloid that forms a self-crossing hedgehog. In differential geometry, a hedgehog or plane hedgehog is a type of plane curve, the envelope of a family of lines determined by a support function. More intuitively, sufficiently well-behaved hedgehogs are plane curves with one tangent line in each oriented direction.
The sum of two concave functions is itself concave and so is the pointwise minimum of two concave functions, i.e. the set of concave functions on a given domain form a semifield. Near a strict local maximum in the interior of the domain of a function, the function must be concave; as a partial converse, if the derivative of a strictly concave ...
The simplest polygon which can cross itself; the simplest polygon which can be concave; the simplest polygon which can be non-cyclic. Can tile the plane. pentagon: 5 [21] The simplest polygon which can exist as a regular star. A star pentagon is known as a pentagram or pentacle. hexagon: 6 [21] Can tile the plane. heptagon (or septagon) 7
It is an example of a hedgehog, a type of curve determined as the envelope of a system of lines with a continuous support function. The hedgehogs also include non-convex curves, such as the astroid, and even self-crossing curves, but the smooth strictly convex curves are the only hedgehogs that have no singular points. [33]
Sonic the Hedgehog vs. Hedgehog Real hedgehogs don't come in blue nor do they have an affinity for collecting golden rings. They also can't walk on two legs and are actually quite slow.
A hedgehog is a spiny mammal of the ... they have adapted to a nocturnal way of life. [3] ... it was reported that the hedgehog population in rural Britain was ...