Curves {helix}| {bolt, helix} can maintain constant angle with cylinder, cone, or sphere generator.
In right circular cylinders, helix {circular helix} has equations x = r * cos(A), y = r * sin(A), z = r * A * cos(B), where A is revolution angle, r is cylinder radius, and B is helix-to-generator inclination angle.
Right-circular-cone helices are like tapered screws. If helices open to become circle sectors, they look like equiangular-spiral pieces.
spherical helix
Loxodromic spirals can be helices {spherical helix}.
Mathematical Sciences>Geometry>Solid>Cone>Conic Section>Sections
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Date Modified: 2022.0224