Project:geometry

The dual quaternion algebra and its implementation in Asymptote language

The algebras of dual quaternions and screws are often opposed to geometric algebra. The purpose of this paper is to describe the algebra of dual quaternions and the algebra of …

migran-nelsonovich-gevorkyan

Analytic projective geometry for computer graphics

migran-nelsonovich-gevorkyan

Geometrization of Maxwell's Equations in the Construction of Optical Devices

The paper considers the technics of construction of optical devices based on the method of geometrization of Maxwell's equations. The method is based on representation of material …

dmitry-sergeevich-kulyabov

A Geometric Approach to the Lagrangian and Hamiltonian Formalism of Electrodynamics

In solving field problems, for example problems of electrodynamics, we commonly use the Lagrangian and Hamiltonian formalisms. Hamiltonian formalism of field theory has the …

dmitry-sergeevich-kulyabov

Spinor-Like Hamiltonian for Maxwellian Optics

Background Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Group of Lorentz two-spinors is the …

dmitry-sergeevich-kulyabov

Spinor-Like Hamiltonian for Maxwellian Optics

Background Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Group of Lorentz two-spinors is the …

dmitry-sergeevich-kulyabov