A partition of the Euclidean line into infinitely many equal-length segments can be understood as a regular apeirogon.
In geometry, an apeirogon (from Ancient Greek ἄπειρος apeiros 'infinite, boundless', and γωνία gonia 'angle') or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the rank 2 case of infinite polytopes. In some literature, the term "apeirogon" may refer only to the regular apeirogon, with an infinite dihedral group of symmetries.[1]
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sides. Apeirogons are the rank 2 case of infinite polytopes. In some literature, the term "apeirogon" may refer only to the regular apeirogon, with an...
international publications. McCann is the author of seven novels, including Apeirogon (2020), TransAtlantic (2013) and the National Book Award-winning Let the...
In geometry, an infinite skew polygon or skew apeirogon is an infinite 2-polytope with vertices that are not all colinear. Infinite zig-zag skew polygons...
tend to zero and the apeirogon is indistinguishable from a circle, or make the interior angles tend to 180 degrees and the apeirogon approaches a straight...
and . A regular complex apeirogon p{q}r has p-edges and r-gonal vertex figures. The dual apeirogon of p{q}r is r{q}p. An apeirogon of the form p{q}p is self-dual...
and fairly regular. In geometry, this pattern is described as a skew apeirogon. From the point of view of symmetry, a regular zigzag can be generated...
of an apeirogon. A skew apeirogon in two dimensions forms a zig-zag line in the plane. If the zig-zag is even and symmetrical, then the apeirogon is regular...
approximates a circle, if the perimeter or area is fixed, or a regular apeirogon (effectively a straight line), if the edge length is fixed. These properties...
Petrie polygons of the regular polytopes are well known examples. An apeirogon is an infinite sequence of sides and angles, which is not closed but has...
income for tax purposes in the U.S. Realization of an apeirogon, a mapping of an abstract apeirogon Realize (disambiguation) Self-realization, a psychological...
circles. There are 2 regular complex apeirogons, sharing the vertices of the hexagonal tiling. Regular complex apeirogons have vertices and edges, where edges...
apeirogon in two dimensions forms a zig-zag line in the plane. If the zig-zag is even and symmetrical, then the apeirogon is regular. Skew apeirogons...
polyhedra and the infinite series of tilings represented by the regular apeirogon, square tiling, cubic honeycomb, and so on. The theory of abstract polytopes...
improper tessellation, is that of two ∞ {\displaystyle \infty } -sided apeirogons joined along all their edges, coincident about a line that divides the...
Real? by Brian Clegg. Amicable numbers are mentioned in the 2020 novel Apeirogon by Colum McCann. Betrothed numbers (quasi-amicable numbers) Amicable triple...
deformation of R3 upon itself (known as an ambient isotopy). Affine sphere Apeirogon Circle fitting Gauss circle problem Inversion in a circle Line–circle...
apeirogons and regular star polygons are isogonal. The dual of an isogonal polygon is an isotoxal polygon. Some even-sided polygons and apeirogons which...
packings. There are 3 regular complex apeirogons, sharing the vertices of the square tiling. Regular complex apeirogons have vertices and edges, where edges...
Retrieved June 3, 2022. Vlessing, Etan (May 27, 2020). "Luke Davies to Adapt 'Apeirogon' Novel for Amblin (Exclusive)". The Hollywood Reporter. Retrieved May...
tiling.) There are 4 regular complex apeirogons, sharing the vertices of the triangular tiling. Regular complex apeirogons have vertices and edges, where edges...
domain. There are 2 regular complex apeirogons, sharing the vertices of the trihexagonal tiling. Regular complex apeirogons have vertices and edges, where...
another, since each thing already contains all other things in germ. Apeirogon Arche Ein Sof Brahman God Idealism Infinity Neutral monism Taiji (philosophy)...
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