Architecture / Work in progress
Hyperbolic
paraboloid.
A Grid Shell
z = y2 − x2
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)
Geometry / Variations
Manipulations.
A sequence of variations in the saddle geometry, shown alongside the bounded grid and member model.
View manipulations drawing (PDF)
Shell / Profile
Elevation and section.
The elevation and section reveal the changing depth of the saddle, the lattice arrangement and the relationship between the perimeter band and the ground.
Shell / Detail
Shell fragment.
An isolated fragment brings the timber lattice and curved perimeter band into focus.
Iteration 01 / Array and overlap
Linear repetition.
Repeating and overlapping the saddle along a single axis explores how one shell might extend into a continuous conceptual gridshell. The intersecting perimeter bands establish a repeated structural rhythm.
Iteration 02 / Theatre shell
Rotational study.
Progressive rotation of each repeated paraboloid develops a shell that curves upward along the vertical axis. This iteration imagines a theatre enclosure, using the changing orientation of the bands to shape an opening and a rising canopy.
