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The apeirogon and dual numbers

Symmetry: Culture and Science, 2021
Abstract: The richness, diversity, connection, depth and pleasure of studying symmetry continue to open doors. Here we report a connection between Coxeter's Apeirogon and the geometry associated with pictorial space, parabolic rotation and dual numbers.
Johan Gielis, Simone Brasili
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Subdiagrams equal in number to their duals

Algebra Universalis, 1986
A subdiagram S of an ordered set P is a cover-preserving ordered subset of P. If S is finite, \(\ell (S)\neq 2\) and S is, as a down set, embedded in a selfdual lattice of subspaces of a projective geometry then the authors prove that S is a ''dual subdiagram invariant'' which means: For any modular lattice M, the number of subdiagrams of M isomorphic ...
Ivan Rival   +3 more
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Computations of Dual Numbers in the Extended Finite Dual Plane [PDF]

open access: possible19th Design Automation Conference: Volume 2 — Design Optimization; Geometric Modeling and Tolerance Analysis; Mechanism Synthesis and Analysis; Decomposition and Design Optimization, 1993
Abstract The numerical computational aspects of dual numbers in the CH programming language are presented in this paper. Dual is a built-in data type in CH. Dual numbers and dual metanumbers are described in the extended dual plane and extended finite dual plane.
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Fuzzy Dual Numbers

2017
In this chapter we introduce a special class of dual numbers, fuzzy dual numbers representative of symmetrical fuzzy numbers.
Carlos Alberto Nunes Cosenza   +1 more
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