Faisal Al Jalal

Architecture / Work in progress

Hyperbolic
paraboloid.

A Grid Shell

z = y2 − x2

01   /   Current study
Hyperbolic paraboloid / Form studyOpen film
Timber lattice saddle shell with a curved perimeter ring, casting a grid of shadows beside a person for scale
01 / Timber gridshell and perimeter ring

A Grid Shell

This study takes the StructureCraft Bandshell as a structural reference, using its doubly curved timber gridshell and perimeter ring as a starting point for understanding how a lightweight lattice can span through geometry rather than mass.

The hyperbolic paraboloid is used here as a simplified mathematical surface through which the relationship between curvature, grid orientation and perimeter restraint can be tested. The grid is developed parametrically, allowing its density, rotation and member geometry to change while maintaining the overall saddle form.

Rather than reproducing the Bandshell directly, the reference is used to investigate its underlying structural logic: how a flexible grid becomes stiff through double curvature, how loads are transferred toward the perimeter, and how the edge condition contributes to the stability of the shell.

Surface
Hyperbolic paraboloid
System
Timber gridshell
Reference
StructureCraft Bandshell
Method
Parametric modelling
Status
Work in progress

Geometry / Process

Building the surface.

The build-up drawing follows the grid from its planar arrangement to the saddle surface and its circular boundary.

View build-up drawing (PDF)
Exploded geometric diagram showing a planar point grid, a hyperbolic paraboloid lattice and its circularly bounded saddle form
02 / Surface and grid build-up · 07 October 2026

Geometry / Variations

Manipulations.

A sequence of variations in the saddle geometry, shown alongside the bounded grid and member model.

View manipulations drawing (PDF)
Seven rows of saddle-form variations, arranged in three columns showing the surface grid, bounded grid and member model
03 / Manipulations · 07 October 2026