Parametric Hyperboloid Lattice (Ruled Surface)

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Description

A stunning geometric structure based on a hyperboloid of one sheet. This model demonstrates how a complex curved surface can be created using only straight lines (rods). It is a "ruled surface," where every point on the surface belongs to at least one straight line. This principle allows for the creation of incredibly strong and lightweight architectural structures like the famous Shukhov Tower.

Key Features

• Ruled Surface Geometry: The lattice is generated by rotating straight lines at a specific angle, following the mathematical formula:

\[\frac{x^2 + y^2}{a^2} - \frac{z^2}{c^2} = 1\]

• Dynamic Density: Easily adjust the number of intersecting rods to create either a dense mesh or a light, airy frame.
• Structural Parameters: Control the top/bottom radii and the "waist" diameter to change the curvature of the tower.Circular Support Rings: Includes top and bottom reinforcing rings for a complete structural look.

Dimensions (Default)

1. Base Radius: 50 mm
2. Total Height: 120 mm
3. Rod Diameter: 2 mm