{"product_id":"moc-237895-mechanical-integraph-plotter-building-blocks","title":"MOC-237895 Mechanical Integraph Plotter Building Blocks","description":"\u003cp\u003e\u003cspan\u003eExplore the mechanics behind graphical integration with the \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003eMOC-237895 Mechanical Integraph Plotter Building Blocks\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e. Designed and authorized by \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003eNico71\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e, this \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003e688-piece\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e model recreates a 19th-century mathematical instrument originally developed for plotting the integral of a graphically defined function.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eUsing only mechanical linkages, sliding carriers, rotating arms, and a tangent wheel, the model translates the movement of an input stylus into a second plotted curve. No electric power is required, making the relationship between motion, slope, and integration directly visible through the mechanism itself.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan\u003eA Mechanical Calculus Instrument\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe integraph was developed as a practical way to obtain the integral of a function from a drawn curve.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eInstead of calculating numerically, the machine converts the geometry of the input curve into the motion of an output pencil, producing a new curve that represents its integral.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan\u003eX-Axis \u0026amp; Y-Axis Input Movement\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe wheeled chassis moves along the \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003ex-axis\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e, while the input stylus travels vertically along the \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003ey-axis\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eAs the stylus follows the original curve, its position changes the angle of the main orientation arm inside the machine.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan\u003eParallelogram Linkage System\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eA sliding carrier and parallelogram linkage transfer the angle of the main arm toward the tangent-wheel assembly.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThis arrangement keeps key beams parallel while separating different movements, allowing translation and rotation to interact without becoming mechanically locked together.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan\u003eTangent Wheel Integration Mechanism\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eAt the heart of the machine is a freely moving \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003etangent wheel\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eWhen the wheel is aligned with the y-axis, the output carrier remains stationary. When the wheel rotates to an angle, it forces the carrier sideways as the chassis moves forward.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eBecause that angle is determined by the input y-value, the output pencil follows a curve whose slope corresponds to the original function.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan\u003eVisible Calculus in Motion\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe principle behind the machine is based on a fundamental relationship in calculus: the slope of an integral curve corresponds to the value of the original function.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThis means the model physically demonstrates integration through geometry and motion rather than electronics or software.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan\u003ePurely Mechanical Operation\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe complete process is driven by wheels, sliders, carriers, linkages, and rotating elements.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThere are no electric motors required, making the model particularly useful as a hands-on demonstration of mechanical computation.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan\u003eHistorical Engineering Applications\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eReal integraphs were used in applied mathematics and engineering for tasks such as:\u003c\/span\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\u003cspan\u003eArea calculations\u003c\/span\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cspan\u003eCenters of gravity\u003c\/span\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cspan\u003eMoments of inertia\u003c\/span\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cspan\u003eStructural loads and resistance\u003c\/span\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cspan\u003eDifferential equations\u003c\/span\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cspan\u003eElectromagnetism\u003c\/span\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cspan\u003eShipbuilding\u003c\/span\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cspan\u003eOptics\u003c\/span\u003e\u003c\/li\u003e\n\u003cli\u003e\u003cspan\u003eMotion and velocity analysis\u003c\/span\u003e\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cspan\u003eUnlike a planimeter, which mainly provides the area beneath a curve, an integraph can generate the actual integral curve for further analysis.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan\u003eFrom the Designer\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eNico71 created \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003eMOC-237895\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e as a mechanical recreation of the classic integraph associated with \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003eAbdank-Abakanowicz\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe main challenge was not simply reproducing its appearance, but recreating the complete movement chain that converts stylus displacement into arm rotation, transfers that angle through the parallelogram mechanism, and finally guides the tangent wheel and output pencil.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe resulting model turns an abstract mathematical idea into a physical machine where the integration process can be watched as it happens.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan\u003eA Mechanical Mathematics Display\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eWith \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003e688 pieces\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e, a fully mechanical plotting system, visible linkages, and a genuine mathematical operating principle, \u003c\/span\u003e\u003cstrong\u003e\u003cspan\u003eMOC-237895\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e is an unusual display and educational build for engineering enthusiasts, mathematics fans, mechanical-computation collectors, and builders interested in historical scientific instruments.\u003c\/span\u003e\u003c\/p\u003e","brand":"LesDiy","offers":[{"title":"Default Title","offer_id":67599216410798,"sku":"3755425","price":77.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0063\/2232\/3545\/files\/f6c117e3-7e9b-42ef-93ea-1f8cd39faa26.jpg?v=1790662945","url":"https:\/\/www.lesdiy.com\/fr\/products\/moc-237895-mechanical-integraph-plotter-building-blocks","provider":"LesDiy","version":"1.0","type":"link"}