three-dimensional symmetry
[θriː daɪˌmenʃənəl ˈsɪmətri]
nounpl: three-dimensional symmetries
simetria tridimensional
1. The property of an object or structure in three-dimensional space where a transformation (rotation, reflection, or inversion) about a point, line, or plane leaves the object unchanged or mapped onto itself
A cube exhibits three-dimensional symmetry with multiple planes and axes of symmetry.
Um cubo exibe simetria tridimensional com múltiplos planos e eixos de simetria.
2. In mathematics and physics, the invariance of physical laws or geometric properties under transformations in 3D space
Three-dimensional symmetry is fundamental to understanding crystalline structures in materials science.
A simetria tridimensional é fundamental para compreender estruturas cristalinas na ciência dos materiais.
3. The quality of balance and proportion in three-dimensional objects with respect to axes, planes, or points of symmetry
The three-dimensional symmetry of a sphere makes it one of the most balanced shapes in nature.
A simetria tridimensional de uma esfera a torna uma das formas mais equilibradas da natureza.
The term is primarily used in scientific, mathematical, and engineering contexts in both Brazil and the USA. In Brazilian academia, it's essential in fields such as crystallography, physics, and architecture. The concept is fundamental to understanding molecular geometry, particle physics, and design principles across both cultures.
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