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Developable roller
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<p>In <a href="/facts/Geometry/wTQf5ffQ">geometry</a>, a developable roller is a <a href="/facts/Convex_polytope/2pRHcRgC">convex solid</a> whose <a href="/facts/Surface_(mathematics)/whF08jvy">surface</a> consists of a single <a href="/facts/Continuous_function/sKbl02pB">continuous</a>, <a href="/facts/Developable_surface/4lMmnSKm">developable</a> face. While <a href="/facts/Rolling/rfmy2YIl">rolling</a> on a <a href="/facts/Plane_(geometry)/tAUtRFcn">plane</a>, most developable rollers develop their entire surface so that all the points on the surface touch the rolling plane. All developable rollers have <a href="/facts/Ruled_surface/uAGM9b1X">ruled surfaces</a>. Four families of developable rollers have been described to date: the prime poly<a href="/facts/Sphericon/C2uhkCoL">sphericons</a>, the <a href="/facts/Convex_hull/D4Id3JDS">convex hulls</a> of the two disc rollers (TDR convex hulls), the <a href="/facts/Polycon/7XK3HARV">polycons</a> and the Platonicons. </p>