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- Harmonograph abstract "A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves, or related drawings of greater complexity. The devices, which began to appear in the mid-19th century and peaked in popularity in the 1890s, cannot be conclusively attributed to a single person, although Hugh Blackburn, a professor of mathematics at the University of Glasgow, is commonly believed to be the official inventor.A simple, so-called "lateral" harmonograph uses two pendulums to control the movement of a pen relative to a drawing surface. One pendulum moves the pen back and forth along one axis and the other pendulum moves the drawing surface back and forth along a perpendicular axis. By varying the frequency and phase of the pendulums relative to one another, different patterns are created. Even a simple harmonograph as described can create ellipses, spirals, figure eights and other Lissajous figures.More complex harmonographs incorporate three or more pendulums or linked pendulums together (for example hanging one pendulum off another), or involve rotary motion in which one or more pendulums is mounted on gimbals to allow movement in any direction.A particular type of harmonograph, a pintograph, is based on the relative motion of two rotating disks, as illustrated in the links below.".
- Harmonograph thumbnail Harmonograph_2.jpg?width=300.
- Harmonograph wikiPageExternalLink index.html.
- Harmonograph wikiPageExternalLink harmonograph-video-demo.
- Harmonograph wikiPageExternalLink animated-harmonograph.html.
- Harmonograph wikiPageExternalLink harmonograph.
- Harmonograph wikiPageExternalLink index.html.
- Harmonograph wikiPageExternalLink harmonograph.
- Harmonograph wikiPageExternalLink harmonograph.html.
- Harmonograph wikiPageExternalLink id548056488?mt=8&uo=4.
- Harmonograph wikiPageID "442024".
- Harmonograph wikiPageLength "5670".
- Harmonograph wikiPageOutDegree "25".
- Harmonograph wikiPageRevisionID "669437972".
- Harmonograph wikiPageWikiLink Australia.
- Harmonograph wikiPageWikiLink Canberra.
- Harmonograph wikiPageWikiLink Category:Curves.
- Harmonograph wikiPageWikiLink Category:Pendulums.
- Harmonograph wikiPageWikiLink Double_Pendulum.
- Harmonograph wikiPageWikiLink Double_pendulum.
- Harmonograph wikiPageWikiLink Ellipse.
- Harmonograph wikiPageWikiLink Frequency.
- Harmonograph wikiPageWikiLink Gimbal.
- Harmonograph wikiPageWikiLink Hugh_Blackburn.
- Harmonograph wikiPageWikiLink Lissajous_curve.
- Harmonograph wikiPageWikiLink Mathematics.
- Harmonograph wikiPageWikiLink Pen.
- Harmonograph wikiPageWikiLink Pendulum.
- Harmonograph wikiPageWikiLink Perpendicular.
- Harmonograph wikiPageWikiLink Pintograph.
- Harmonograph wikiPageWikiLink Questacon.
- Harmonograph wikiPageWikiLink Simple_harmonic_motion.
- Harmonograph wikiPageWikiLink Spiral.
- Harmonograph wikiPageWikiLink Spirograph.
- Harmonograph wikiPageWikiLink Surface.
- Harmonograph wikiPageWikiLink University_of_Glasgow.
- Harmonograph wikiPageWikiLink Wikt:figure_eight.
- Harmonograph wikiPageWikiLink File:Harmonograph_2.jpg.
- Harmonograph wikiPageWikiLinkText "Harmonograph".
- Harmonograph wikiPageWikiLinkText "harmonograph".
- Harmonograph hasPhotoCollection Harmonograph.
- Harmonograph wikiPageUsesTemplate Template:Reflist.
- Harmonograph subject Category:Curves.
- Harmonograph subject Category:Pendulums.
- Harmonograph hypernym Apparatus.
- Harmonograph type Article.
- Harmonograph type Article.
- Harmonograph type Dynamic.
- Harmonograph type Object.
- Harmonograph comment "A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves, or related drawings of greater complexity.".
- Harmonograph label "Harmonograph".
- Harmonograph sameAs Harmonograph.
- Harmonograph sameAs Armonógrafo.
- Harmonograph sameAs Armonografo.
- Harmonograph sameAs Harmonographum.
- Harmonograph sameAs Harmonograaf.
- Harmonograph sameAs m.028zrx.
- Harmonograph sameAs Q240559.
- Harmonograph sameAs Q240559.
- Harmonograph wasDerivedFrom Harmonograph?oldid=669437972.
- Harmonograph depiction Harmonograph_2.jpg.
- Harmonograph isPrimaryTopicOf Harmonograph.