
	Where results make sense

Topic: Hypocycloid

Related Topics

Lantern fish

Visual display unit

Pillar of Autumn

Talas (Star Trek)

Garrulax

Frozen food

Wai khru ram muay

Kamperveen

Hans Riegel

Nexuiz

In the News (Thu 18 Mar 10)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	[No title] (Site not responding. Last check: 2007-10-09)
		The hypocycloid gear assembly of the present invention improves on the prior art by providing a simple and efficient means of converting linear motion to rotational motion The gear mechanism performs this conversion using only two moving parts, the pinion shaft and the pinion carrier.
		A hypocycloid gear assembly comprising: a pinion shaft having a pinon journal and a pinion body; a pinion carrier having an endplate, a carrier body having an internal cavity, and an output shaft; and wherein in operation the pinion journal travels in a purely linear motion and the output shaft in a purely rotational motion.
		A hypocycloid gear assembly for converting linear energy to rotation energy of claim 18 further comprising: a counterweight adjacent the pinion journal and rotating on the pinion journal's center of axis to balance the gearing assembly.
	www.wipo.int /cgi-pct/guest/getbykey5?KEY=01/59329.010816&ELEMENT_SET=DECL (4128 words)

	hypocycloid
		A curve formed by the path of a point attached to a circle of radius b that rolls around the inside of a larger circle of radius a.
		A hypocycloid has a closed form — that is, the moving point eventually retraces its steps when the ratio of the rolling circle and the larger, fixed is equal to a rational number.
		In the same family of curves as the hypocycloid (and hypotrohoid) are the epicycloid and epitrochoid.
	www.daviddarling.info /encyclopedia/H/hypocycloid.html (259 words)

	EPICYCLOID - LoveToKnow Article on EPICYCLOID (Site not responding. Last check: 2007-10-09)
		The hypocycloid derived from the same circles is shown as curve d, and is seen to consist of three cusps arranged internally to the fixed circle; the corresponding hypotrochoid consists of a three-foil and is shown in curve e.
		The equations to the hypocycloid and its corresponding trochoidal curves are derived from the two preceding equations by changing the sign of b.
		If the radius of the rolling circle be one-half of the fixed circle, the hypocycloid becomes a diameter of this circle; this may be confirmed from the equation to the hypocycloid.
	98.1911encyclopedia.org /E/EP/EPICYCLOID.htm (746 words)

	Hypocycloid: Encyclopedia topic (Site not responding. Last check: 2007-10-09)
		The hypocycloid is a special kind of hypotrochoid (hypotrochoid: a hypotrochoid is a roulette traced by a point attached to a circle of radius b...
		A hypocycloid and its evolute (evolute: in the differential geometry of curves, the evolute of a curve is the set of all...
		A hypocycloid curve with four cusps is known as an astroid (astroid: in mathematics, an astroid is a particular type of curve: a hypocycloid with...
	www.absoluteastronomy.com /reference/hypocycloid (332 words)

	Hypocycloid
		These are the epicycloid, the epitrochoid, the hypocycloid and the hypotrochoid and they are traced by a point P on a circle of radius b which rolls round a fixed circle of radius a.
		For the hypocycloid, an example of which is shown above, the circle of radius b rolls on the inside of the circle of radius a.
		The evolute of a hypocycloid is a similar hypocycloid - look at the evolute of the hypocycloid above to see it is a similar hypocycloid but smaller in size.
	www-groups.dcs.st-and.ac.uk /~history/Curves/Hypocycloid.html (258 words)

	Cynthia Schneider
		Here is the hypocycloid of 5 cusps with the pedal curve wrt traced in blue and the negative pedal curve wrt traced in orange.
		In this graph we have included the related epicycloids traced outside the hypocycloid in blue are a family of curves.
		The hypocycloid is related to the idea of picking a point on a circle and then rolling that circle along the inside of a larger circle, without slipping, while tracing the chosen point.
	web.pdx.edu /~cynthias/Assignment_Seven.htm (836 words)

	Hypocycloid - Wikipedia, the free encyclopedia
		The hypocycloid is a special kind of hypotrochoid.
		A hypocycloid curve with four cusps is known as an astroid.
		The Pittsburgh Steelers' logo includes three astroids (hypocycloids of four cusps).
	en.wikipedia.org /wiki/Hypocycloid (210 words)

	Talk:Pittsburgh Steelers - Wikipedia, the free encyclopedia
		The Steelers inaccurately refer to the symbol as a hypocycloid, and until they change their mind, you're not going to accept any other authority on the matter, the truth be damned.
		One reason the Steelers might refer to it as a hypocycloid is that the term astroid might cause more confusion given it's similarity to asteroid.
		The shape is clearly either an "astroid" or a "hypocycloid of four cusps".
	en.wikipedia.org /wiki/Talk:Pittsburgh_Steelers (1325 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		In a hypocycloid crank mechanism, the eccentric intermediate element rotates, as a result of the rotation of the drive shaft, with an angular velocity equal to that of the drive shaft but in the opposite direction, since its centre of rotation always coincides with the axis of the respective crank pin.
		In hypocycloid crank mechanisms, it is in fact possible to achieve a pure sinusoidal motion of the pistons so that no lateral thrusts of the pistons relative to the cylinders are generated.
		The piston 6a is connected to the crank 4a by means of a so-called hypocycloid crank mechanism which is intended to convert the rectilinear reciprocating motion of the piston 6a in the cylinder 5a into a rotary motion of the crankshaft 4.
	www.wipo.int /cgi-pct/guest/getbykey5?KEY=01/06092.010125&ELEMENT_SET=DECL (2087 words)

	Hypocycloid
		A hypocycloid is a special plane curve that is generated by the trace of a fixed point on a small circle that rolls within a larger circle.
		Hypocycloids were first concieved by Roemer in 1674 while he was studying the best form of gear teeth.
		To get the parameteric equations of the hypocycloid you must add these parameteric equations to the parameteric equations of the point that is being traced.
	online.redwoods.edu /instruct/darnold/calcproj/sp99/nick/hypocycloid.htm (421 words)

	hypocycloid
		A hypocycloid with parameters a and b is the same as a epicycloid with parameters a-1 and 1/b.
		the pedal of the hypocycloid (center as pedal point) is the rhodonea
		Sometimes the meaning of hypocycloid and hypotrochoid is interchanged: hypotrochoid for the general case, hypocycloid only for the situation that the starting point is lying on the circle.
	www.2dcurves.com /roulette/rouletteh.html (641 words)

	project1
		A hypocycloid is a special plane curve formed by the locus of a point on a small circle that rolls within a larger circle.
		The number of cusps is determined by the ratio of the larger circles radius to that of the smaller circles.
		The parametric equations for the point, that is traced, on the small circle with the center of the circle at the origin are given below.
	online.redwoods.cc.ca.us /instruct/DHicketh/Math50C/ProjectFall99/EdProject/projec2.htm (326 words)

	Hypocycloid (Site not responding. Last check: 2007-10-09)
		Its flagship bagmaker, the Cyclone, employs a unique hypocycloid sealing jaw motion that results in extended seal dwell time to produce higher bag seal integrity.
		The advantage of a hypocycloid design, for example, is that it requires only half as many teeth...
		The same setting produces the upper graphic as an epicycloid and the lower graphic as a hypocycloid.
	hallencyclopedia.com /Hypocycloid (400 words)

	Little Gallery of Roulettes
		A hypocycloid is the locus of a point on the circumference of which is rolling around the inside of a fixed circle.
		The 4:1 hypocycloid is known as an astroid or tetracuspid and was studied by Bernoulli in 1691, while the 3:1 hypocycloid is known as the deltoid or tricuspid and was studied by Euler in 1745.
		First a 6:1 hypocycloid with two hyporoulettes with the drawing point beyond the radius, then a 5:1 hypocycloid with a hyporoulette with the drawing point within the radius.
	aleph0.clarku.edu /~djoyce/roulettes/roulettes.html (616 words)

	MTH 588 Assignment #7 Write Up
		To create the pedal curve of the deltoid (hypocycloid with n = 3) I identified the pedal point O at the origin of the curve.
		Is there a relationship between the pedal curve of a hypocycloid and the pedal curve of its related epicycloid?
		The loops of the hypocycloid pedal curve are formed within loops of the epicycloid pedal curve.
	web.pdx.edu /~csterle/hw_07/hw_07.htm (1276 words)

	Hypocycloids (Site not responding. Last check: 2007-10-09)
		Find a formula for the number of points on a hypocycloid in terms of the parameters a and b.
		Plot the hypocycloid xy3(t) = [(a-b)cos(t)+b cos((a-b)t/b), (a-b)sin(t)-b sin((a-b)t/b)].
		Count the number of points on each hypocycloid and look for a pattern.
	www2.umassd.edu /temath/TEMATH2/Examples/Hypocycloids.html (133 words)

	CM143 Cadet 5
		Part 1 : Write a java class to draw a hypocycloid shape in an applet, and a demonstration class to accompany it.
		Note that a positive inner radius will be inverted since Hypocycloids require a negative inner radius.
		This function paints the hypocycloid to a graphics object in the color specified by paintColour.
	homepage.ntlworld.com /jason.heuclin/html/cm143_cadet_5.html (172 words)

	MATH 241 Sample Exam 1
		(a) Obtain a plot showing the hypocycloid together with circles around the origin of radius 1 and 3.
		(c) Obtain a formula for the curvature of the hypocycloid.
		Show that the points of minimum curvature on the hypocycloid are those at which the hypocycloid is tangent to the inner circle.
	www.math.umd.edu /users/jmr/241/oldexam1.html (455 words)

	Hypocycloid Families
		The available explanation may be too difficult for a school student, but do play with the applet by all means.
		The applet shows and allows you rotate families of hypocycloids with an increasing number of cusps.
		Cycloids are so located inside each other that they appear gliding on each other's curves.
	www.cut-the-knot.org /Curriculum/Geometry/Hypocycloids.shtml (89 words)

	Hypocycloid (Site not responding. Last check: 2007-10-09)
		Tricuspoid, and a 4-cusped hypocycloid is called an
		Arc Length of the hypocycloid can be computed as follows
		The equation of the hypocycloid can be put in a form which is useful in the solution of
	mathserver.sdu.edu.cn /mathency/math/h/h459.htm (284 words)

	KMODDL - Kinematic Models for Design Digital Library (Site not responding. Last check: 2007-10-09)
		This is an inversion of the hypocycloid mechanism of Model S-16.
		These two mechanisms are from a class of gear trains called 'planetary gear pairs' in which a usually smaller 'planet' gear rotates around a larger 'sun' gear.
		The term 'hypocycloid' refers to the curves that are generated by points on the perimeter of the planet gear when it rotates on the inside of a ring gear.
	www.library.cornell.edu /kmoddl-test/model.php?m=278 (172 words)

	Roulettes, Part 4
		The figure above shows two views of the construction of a hypocycloid, a curve traced out by a point on an inner circle as that circle rolls around an outer circle.
		Our four-cusp hypocycloid was constructed by taking the smaller radius to be exactly one-fourth of the larger radius.
		(These roulettes are no longer hypocycloids.) Describe what you see, and state any conclusions you draw.
	www.math.duke.edu /education/ccp/materials/mvcalc/spirograph/spiro4.html (391 words)

	Cut The Knot!
		The curve is the envelope of a family of hypocycloids (its penosculants, in Morley's terminology)
		and are therefore tangents of a hypocycloid with three cusps - deltoid or Steiner curve.
		For (2n +2) turns we have the original hypocycloid with n cusps but displaced.
	www.maa.org /editorial/knot/Beyond.html (946 words)

	BitArt, The Art of Spirolaterals
		The major difference between these two curves is that the Hypocycloid produces concave curves and the Epicycloid produces convex ones.
		Figures 25 to 28 display sample of spirolaterals using the Hypocycloid and Epicycloid curves.
		The Hypocycloid is particularly interesting because of the very sharp point where its curves meet.
	www.mi.sanu.ac.yu /vismath/krawczyk/spdesc10.htm (233 words)

	About Alphalink
		Inquiries regarding the licensing of the innovative hypocycloid trace polishing motion are welcome.
		The CHAMP 800X/400X is a new innovation in optical polishing, with a streamlined design for ease of operation and long and reliable performance.
		Our polishing machines polish specimens with the patent-pending hypocycloid trace motion, a superior polishing pattern that produces optimal polishing conditions by polishing optical connectors and specimens from all directions, thus polishing evenly and producing geometrically accurate results.
	www.alphalinkcorp.com /products/pm.htm (402 words)

	OidEG.html
		So, when a/b = N is an integer, we get a closed figure with N vertices (in one traversal of the a-circle).
		The shape of the hypocycloid is totally determined by the single number N. The general parametric form of a
		When a/b = c the curve is an hypocycloid.
	curvebank.calstatela.edu /cycloidmaple/Oids/OidEG1.html (602 words)

	[Fractint] Summary of Cardioid-Cycloid-Epicycloid-Hypocycloid Relationships (Site not responding. Last check: 2007-10-09)
		When the radii are equal, it's called a cardioid.
		The hypocycloid is like the epicycloid but with the smaller circle rolling inside the fixed larger one.
		The cardioid has one cusp, the nephroid is like the cardioid except that it has 3 equally spaced cusps, and the ranunculoid is like the others but has 5 equally spaced cusps.
	mailman.xmission.com /pipermail/fractint/2003-September/002123.html (211 words)

	Index
		Constructs a hypocycloid based on two radii and an offset.
		Constructs a hypocycloid based on two radii/angle pairs and an offset.
		Constructs a hypocycloid based on the parameters from the supplied parameter block.
	www.soton.ac.uk /~tjeh102/publicdump/spiro/docs/index-all.html (452 words)

Try your search on: Qwika (all wikis)