Spherical Spiral -- from Wolfram MathWorld
6 天之前 · A series of spherical spirals are illustrated in Escher's woodcuts "Sphere Surface with Fish" (Bool et al. 1982, pp. 96 and 318) and "Sphere Spirals" (Bool et al. 1982, p. 319; Forty 2003, Plate 67).
Spiral - Wikipedia
An Archimedean spiral (black), a helix (green), and a conical spiral (red) Two major definitions of "spiral" in the American Heritage Dictionary are: [ 5 ] a curve on a plane that winds around a fixed center point at a continuously increasing or decreasing distance from the point.
Seiffert's spiral - Wikipedia
Seiffert's spherical spiral is a curve on a sphere made by moving on the sphere with constant speed and angular velocity with respect to a fixed diameter.
Evenly distributing n points on a sphere - Stack Overflow
2012年3月7日 · You trace a spiral around a sphere, and evenly-distribute the points around the spiral. Because of the mathematics involved, these are more complicated to understand than the simulation, but much faster (and probably involving less code).
Spherical Curve -- from Wolfram MathWorld
2024年12月3日 · A curve on the surface of a sphere. Examples include the baseball cover, Seiffert's spherical spiral, spherical helix, and spherical spiral.
Spherical Spiral - Michigan State University
The path taken by a ship which travels from the south pole to the north pole of a Sphere while keeping a fixed (but not Right) Angle with respect to the meridians. The curve has an infinite number of loops since the separation of consecutive …
Archimedean spiral on a hemisphere - Mathematics Stack …
2018年2月27日 · I made a MATLAB script to test the equations. However, I'm not sure if it respect a constant linear velocity (i.e. a limited azimuth and elevation slew rates). Also, I'm not sure how to limit the spacing in degrees between each sample and between each spiral winding. N = 100; volLim = pi/2; % volume limit. volLim = pi will give a hemisphere.
Finding parametric curves on a sphere - Mathematics Stack …
2012年5月3日 · Is there some general method for finding such curves? Let's say I have a planar curve, how can I project it onto a sphere? I am interested in a curve that starts at the south pole of a sphere, then wraps it in spiral motion and ends at the north pole. Is it possible to construct?
Spiral - Math.net
A 2D spiral is an open curve that revolves around a fixed central point, called the center, that moves farther away from the center as it revolves. Below are three different types of spirals. Spirals exist in nature and man-made objects.
Seiffert's Spherical Spiral -- from Wolfram MathWorld
2 天之前 · The spherical curve obtained when moving along the surface of a sphere with constant speed, while maintaining a constant angular velocity with respect to a fixed diameter (Erdős 2000). This curve is given in cylindrical coordinates by the parametric equations
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