Calculate the arc length and properties of a 3D helix (spiral).
Helix dimensions
Helix Properties
98.91
Total Arc Length (L)
Geometrical properties of the spiral path.
Total Height (H)30.00
Slope Angle (α)17.7°
What is a Helix?
A helix is a smooth curve in three-dimensional space characterized by the fact that the tangent line at any point makes a constant angle with a fixed line called the axis. Common examples include spiral staircases and the threads of a screw.
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Pro Tips
The pitch is the vertical distance the helix rises in one complete revolution (360°).
If the pitch is 0, the helix becomes a circle.
The helix is 'right-handed' if it rises as it turns counter-clockwise when viewed from above.
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Fun Facts
"The DNA molecule is a 'double helix', consisting of two intertwined helical strands."
"Tendrils of climbing plants often grow in helical patterns to support themselves."
"A helix is different from a spiral; a helix has constant radius, whereas a spiral's radius changes (like a 2D coil)."
