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Topic: Equilateral curve

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	Koch Curve
		Koch constructed his curve in 1904 as an example of a non-differentiable curve, that is, a continuous curve that does not have a tangent at any of its points.
		Therefore the length of the Koch curve is infinite.
		Three copies of the Koch curve placed around the three sides of an equilateral triangle, form a simple closed curve that form the boundary of the Koch snowflake.
	ecademy.agnesscott.edu /~lriddle/ifs/kcurve/kcurve.htm (563 words)

	Snowflake Curve
		On the middle third of each of the three sides, build an equilateral triangle with sides of length 1/3.
		The "limit curve" defined by repeating this process an infinite number of times, adding more and more, smaller and smaller triangles at each stage, is called the Koch's SNOWFLAKE CURVE, named after Niels Fabian Helge von Koch (Sweden, 1870-1924).
		The snowflake curve is connected in the sense that it does not have any breaks or gaps in it.
	scidiv.bcc.ctc.edu /Math/Snowflake.html (315 words)

	PlanetMath: Koch curve
		A Koch curve is a fractal generated by a replacement rule.
		To generate the Koch curve, the rule is applied indefinitely, with a starting line segment.
		This is version 4 of Koch curve, born on 2002-01-03, modified 2005-02-28.
	planetmath.org /encyclopedia/KochCurve.html (258 words)

	Planar Curves - Numericana
		The parabola is a curve that's constructible with straightedge and compass.
		In general, the pedal of a curve is the locus of the foot of the perpendicular from the pole to a tangent of the curve.
		Equilateral triangles, squares, regular pentagons and hexagons are all constructible with straightedge and compass, but it turns out that regular heptagons, enneagons, hendecagons, or tridecagons cannot be so obtained.
	home.att.net /~numericana/answer/curve.htm (3757 words)

	cross curve
		The cross curve is formed by the points P for which the distance to the x-axis is equal to the distance from the origin to the crossing of OP and m (PQ = OA in picture).
		Other names for the curve are: (equilateral) cruciform (curve), stauroid and the policeman on point-duty curve.
		The curve is a Lamé curve, and also an epi spiral.
	www.2dcurves.com /quartic/quarticcr.html (184 words)

	equilateral - Search Results - MSN Encarta
		Equilateral, of a geometrical figure, having all sides of equal length.
		A triangle is scalene if no two of its sides are equal in length, as in Fig.
		An asymptote of a curve is a straight line that gets closer and closer to the curve but...
	encarta.msn.com /equilateral.html (164 words)

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