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The region of the plane between two concentric circles is an annulus, and analogously the region of space between two concentric spheres is a spherical shell. [6] For a given point c in the plane, the set of all circles having c as their center forms a pencil of circles. Each two circles in the pencil are concentric, and have different radii.
The visual distortion is produced by combining a regular line pattern (the circles) with misaligned parts (the differently colored strands). [2] Zöllner's illusion and the café wall illusion are based on a similar principle, like many other visual effects, in which a sequence of tilted elements causes the eye to perceive phantom twists and ...
Some suspected the circles resulted from a “huge gas bubble” that emerged from the lake bed, while others wondered if something mysterious caused the surface of a frozen lake to ripple.
First, a large circle is constructed and its circumference is subdivided by 12 diameters into 12 arcs (of 30 degrees each; see regular dodecagon). Next, the radius of this circle is itself subdivided into 12 unit segments (radial units), and a series of concentric circles is constructed, each with radius incremented by one radial unit.
This results in a pattern of concentric bright and dark rings, interference fringes. In areas where the path length difference between the two rays is equal to an odd multiple of half a wavelength (λ/2) of the light waves, the reflected waves will be in phase, so the "troughs" and "peaks" of the waves coincide. Therefore, the waves will ...
CSS animation of Aristotle's wheel paradox. The wheel comprises two concentric circles: the outer one has twice the radius of the inner one and rolls on the lower track. Both circles and tracks are marked with segments of equal length. The inner circle is observed to slip with respect to its track.
The most efficient way to pack different-sized circles together is not obvious. In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that no circle can be enlarged without creating an overlap.
It consists of a family of real circles, all tangent to each other at a single common point. The degenerate circle with radius zero at that point also belongs to the pencil. A family of concentric circles centered at a common center (may be considered a special case of a hyperbolic pencil where the other point is the point at infinity).