"Helix" can refer to several things depending on the context. Here are a few common uses of the term: 1. **Biology**: In biology, a helix is a three-dimensional shape that resembles a spiral. The most well-known example is the double helix structure of DNA, which describes how the two strands of DNA wind around each other.
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A general helix is a regular space curve whose unit tangent vector makes a constant angle with a fixed axis direction . In arc length parameter , this means is constant. Equivalently, the axial coordinate grows at a constant rate per unit arc length.
The familiar circular helix has constant distance from its axis:Its speed is , and its tangent's axial component is . Its signed pitch of a helix is . A general helix need not have constant radius or constant axial displacement per turn: the logarithmic conical helix has a varying radius while retaining a constant tangent-axis angle.