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This work has been released into the public domain by its author, Lyonsam at English Wikipedia.This applies worldwide. In some countries this may not be legally possible; if so:
Definition of slope angle and sector Animation showing the constant angle between an intersecting circle centred at the origin and a logarithmic spiral. The logarithmic spiral r = a e k φ , k ≠ 0 , {\displaystyle r=ae^{k\varphi }\;,\;k\neq 0,} has the following properties (see Spiral ):
A free software Asteroids-like video game played on a vector monitor. Vector-based devices, such as the vector CRT and the pen plotter, directly control a drawing mechanism to produce geometric shapes. Since vector display devices can define a line by dealing with just two points (that is, the coordinates of each end of the line), the device ...
A Fibonacci spiral approximates the golden spiral using quarter-circle arcs inscribed in squares derived from the Fibonacci sequence. A golden spiral with initial radius 1 is the locus of points of polar coordinates ( r , θ ) {\displaystyle (r,\theta )} satisfying r = φ 2 θ / π , {\displaystyle r=\varphi ^{2\theta /\pi },} where φ ...
A Doyle spiral of type (8,16) printed in 1911 in Popular Science as an illustration of phyllotaxis. [1] One of its spiral arms is shaded. In the mathematics of circle packing, a Doyle spiral is a pattern of non-crossing circles in the plane in which each circle is surrounded by a ring of six tangent circles.
The propensity of a fluid to swirl is used to promote good fuel/air mixing in internal combustion engines.. In fluid mechanics and transport phenomena, an eddy is not a property of the fluid, but a violent swirling motion caused by the position and direction of turbulent flow.
One half-circle (usually light) shows contented people moving upwards to higher states, possibly to the higher realms. The other half-circle (usually dark) shows people in a miserable state being led downwards to lower states, possibly to the lower realms. These images represent karma, the law of cause and effect. The light half-circle ...