Transforming Numbers

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A beginner-friendly walkthrough of how to build a faux-3D spinning carousel using basic arithmetic and trigonometry. Starting from the concept of mapping numbers between ranges, the tutorial progressively builds up: placing icons on a circle using turns and radians, scaling and translating coordinates, handling z-index for depth ordering, adding perspective scaling, opacity, and CSS blur effects. The final result is a fully animated carousel driven by a simple `requestAnimationFrame` loop. A general-purpose `mapRange` function is also provided, and the broader applicability of range-mapping in programming is discussed.

17m read timeFrom beej.us
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Table of contents
Mapping!A starting pointMapping: scaling transformsMapping: translating transformsCircles, a catcher-upperMapping to radiansPlotting a circleScrunching the circleZ-OrderPerspectiveBonus: setting opacityBlurringAnimationIn GeneralIn SummaryLicenseComments

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