Helicoid - Wikipedia
网页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. It is the third minimal surface to be known, after the plane and the catenoid.
Helicoid -- from Wolfram MathWorld
网页Helicoid. 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).
Helicoid 是一种什么样的曲面？ - 知乎
网页数学. 解析几何. 曲面几何. Helicoid 是一种什么样的曲面？. 虽然 Helicoid 在我们生活中很常见，比如旋转楼梯、比如扭转一个纸带后得到的曲面。. 但是我仍然觉得曲面中间有一条贯穿上下的直线这一点很反直觉…那么…. 显示全部 . 关注者. 12.
Helicoid - Encyclopedia of Mathematics
网页2023年11月12日 · A ruled surface described by a straight line that rotates at a constant angular rate around a fixed axis, intersects the axis at a constant angle $\alpha$, and at the same time becomes gradually displaced at a constant rate $k$ along this axis. The equation of a helicoid in parametric form is \ [ x = \rho \cos t \quad y = \rho \sin t \quad z ...
Helicoid - an overview | ScienceDirect Topics
网页The main reason for this remarkable property of the DNA molecule is its general shape. The double helix sits on a helicoid, and therefore it shares the properties of that surface. The most important of these is the way the helicoid can …
Helicoid - Michigan State University
网页Helicoid. The Minimal Surface having a 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.
正螺面 - 百度百科
网页正螺面(circular helicoid)，即正螺旋面，是一种特殊的曲面。 它是直纹极小曲面，即一曲线C绕直线 l 以定角速度旋转，同时沿直线 l 的方向等速移动所生成的曲面。
The Helicoid - Minimal Surfaces
网页Below is an animation showing the associate family from catenoid to helicoid, an isometric deformation. This deformation was first described by Heinrich Ferdinand Scherk around 1832, but not in the context of the associate family.
helicoid
网页The helicoid is the surface swept out by a line that always intersects a fixed axis at right angles and that rotates uniformly as its point of intersection moves uniformly along the axis. This line intersects any cylinder concentric with the axis in a helix. The helicoid has a wide variety of shapes and is a familiar sight in everyday life ...
Helicoid - Scientific Lib
网页The helicoid, after the plane and the catenoid, is the third minimal surface to be known. Description. It was described by Euler in 1774 and by Jean Baptiste Meusnier in 1776. Its name derives from its similarity to the helix: for every point on the helicoid, there is a helix contained in the helicoid which passes through that point.
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