The
helicoid is a minimal surface that can be generated by rotating a straight line about an axis not coinciding with it.
螺旋面是一种极小曲面,可以通过绕与其不重合的轴旋转一条直线来生成。
In differential geometry, the
helicoid is a famous example of a surface with constant mean curvature.
在微分几何中,螺旋面是常平均曲率曲面的一个著名例子。
Imagine a spiral staircase; if you extend it infinitely in both directions, you get an idealized model of a
helicoid.
想象一个螺旋楼梯;如果你将其无限延伸至两个方向,你将得到一个螺旋面的理想模型。
The
helicoid and catenoid are two non-planar minimal surfaces that can be formed without bending energy.
螺旋面和悬链面是两种可以形成而不消耗弯曲能量的非平面极小曲面。
A screw can be mathematically modeled as a
helicoid moving along its axis.
螺丝可以数学上被模型化为沿其轴线移动的螺旋面。
The
helicoid is the envelope of a set of straight lines all making the same angle with a fixed line.
螺旋面是一组与固定直线成相同角度的所有直线的包络面。
In physics, the path of a charged particle in a uniform magnetic field is analogous to the
helicoid path.
在物理学中,带电粒子在均匀磁场中的路径类似于螺旋面路径。
The
helicoid demonstrates the principle of minimum energy in soap film formations.
螺旋面展示了肥皂膜形成中的最小能量原理。
The shape of a DNA molecule, when unwound, can be approximated as a
helicoid.
当DNA分子被解开时,其形状可以近似为螺旋面。
The
helicoid has a unique property that it can be continuously deformed into a plane without stretching.
螺旋面具有一种独特性质,它能够连续变形为平面而无需拉伸。
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