Conchospiral
Encyclopedia
In mathematics
, a conchospiral is a three-dimensional spiral
. In cylindrical coordinates, it is described by the parametric equations:
The projection of a conchospiral on the (r, θ)-plane is a logarithmic spiral
.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, a conchospiral is a three-dimensional spiral
Spiral
In mathematics, a spiral is a curve which emanates from a central point, getting progressively farther away as it revolves around the point.-Spiral or helix:...
. In cylindrical coordinates, it is described by the parametric equations:
The projection of a conchospiral on the (r, θ)-plane is a logarithmic spiral
Logarithmic spiral
A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curve which often appears in nature. The logarithmic spiral was first described by Descartes and later extensively investigated by Jacob Bernoulli, who called it Spira mirabilis, "the marvelous...
.