The helicoid, also known as helical surface, is a smooth surface embedded in three-dimensional space. It is the surface traced by an infinite line that is simultaneously being rotated and lifted along its fixed axis of rotation.

The (circular) helicoid is the minimal surface having a (circular) helix as its boundary. It is the only ruled minimal surface other than the plane (Catalan 1842, do Carmo 1986). For many years, the helicoid remained the only known example of a complete embedded minimal surface of finite topology with infinite curvature.

The Helicoid™ architecture enhances impact toughness, reduces weight, provides superior structural integrity, safety, reduces raw-material costs, and improve energy efficiency compared to conventional composite laminates.

2023年11月12日 · The equation of a helicoid in parametric form is \[ x = \rho \cos t \quad y = \rho \sin t \quad z = \rho \arctan \alpha + kt\, . \] If $\alpha = \pi/2$ the helicoid is called straight or right (cf. Fig. 1), otherwise it is called oblique.

In geometry, a generalized helicoid is a surface in Euclidean space generated by rotating and simultaneously displacing a curve, the profile curve, along a line, its axis. Any point of the given curve is the starting point of a circular helix.

The helicoid and catenoid are a family of minimal surfaces. Each surface in the family is isometric to any other, meaning, the length between any two points A and B of any curve on a surface, remain unchanged.

Emerson's Helicoid Gauges and associated products have been discontinued. Please refer to the Documents and Drawings section below to locate important product information or visit our SupportNet customer portal.

El Helicoide is a building in Caracas, Venezuela owned by the Venezuelan government and used as a facility and prison for both regular and political prisoners of the Bolivarian National Intelligence Service (SEBIN). [1] . In the shape of a three-sided pyramid, it was originally constructed as a shopping mall, but never completed. [1]

2024年7月24日 · Our results demonstrate the formation of a homochiral macroscopic organic helicoid and function emergence from small molecules via screw dislocations, which deepens our understanding of chiral...

2016年4月10日 · Helicoids are essential for focusing a manual lens. While it is a joy to focus with one, it is a big pain to repair for beginners and it can really be a show-stopper if you do not know how and where these things should mate when reassembling a lens.