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The vesica piscis is the intersection of two congruent disks, each centered on the perimeter of the other. The vesica piscis is a type of lens, a mathematical shape formed by the intersection of two disks with the same radius, intersecting in such a way that the center of each disk lies on the perimeter of the other. [1]
Interlaced triquetra which is a trefoil knot. The triquetra (/ t r aɪ ˈ k w ɛ t r ə / try-KWEH-truh; from the Latin adjective triquetrus "three-cornered") is a triangular figure composed of three interlaced arcs, or (equivalently) three overlapping vesicae piscis lens shapes.
An overlapping circles grid is a geometric pattern of repeating, overlapping circles of an equal radius in two-dimensional space.Commonly, designs are based on circles centered on triangles (with the simple, two circle form named vesica piscis) or on the square lattice pattern of points.
Example of two asymmetric lenses (left and right) and one symmetric lens (in the middle) The Vesica piscis is the intersection of two disks with the same radius, R, and with the distance between centers also equal to R. If the two arcs of a lens have equal radius, it is called a symmetric lens, otherwise is an asymmetric lens.
The most famous example in nature of the vesica piscis is, of course, when a solar eclipse occurs. At various points in the Moon's orbit, it appears to be exactly the same size of the Sun while observing both from Earth. As the Moon moves to cover the Sun, it forms a vesica piscis. This had great significance to the ancients!
The two interlocking circles constitute the symbol known as the Vesica Piscis. In the well lid design, a spear or a sword bisects these two circles, a possible reference to Excalibur, the sword of the legendary King Arthur, believed by some to be buried at the nearby Glastonbury Abbey. Foliage represents the Glastonbury Thorn. Bligh Bond wrote ...
Parts of these same circles are used to form the triquetra, a figure of three overlapping semicircles (each two of which form a vesica piscis symbol) that again has a Reuleaux triangle at its center; [76] just as the three circles of the Venn diagram may be interlaced to form the Borromean rings, the three circular arcs of the triquetra may be ...
Vesica piscis This page was last edited on 17 May 2021, at 07:51 (UTC). Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional ...