Parametric Design in Blender: A Patterned Vase and Fibonacci Dish

By · Updated 2026-09-23

Studio render of a Pardesco vase with geometric relief changing from hexagons to stars
Parquet-deformation vase by Randall Morgan, 2026. Design preview; this is a digital render. Enlarge image.

Parametric design describes a form through relationships that can be adjusted. For a vessel, the challenge is making the pattern belong to the shape: it has to change as the body widens, turns toward the neck, or meets a rim.

These two designs are part of a forthcoming range of 3D-printed objects at Pardesco. The vase carries a pattern that changes up its body. The ring dish uses Fibonacci spiral relationships to organize a field of shallow cups. Both began as geometric studies and developed through repeated inspection of the rendered surface.

Coming soon to Pardesco. The vase, ring dish and related designs are in development. The images show digital prototypes. Finished-product photographs, materials, care information and product links will be added here when the pieces are released.

What parametric design changes

In a parametric model, a change to one part can update related parts. A patterned vessel makes the value of that relationship visible. Simply wrapping a flat image around a curving surface can stretch the ornament or leave an awkward join. I develop the surface and the ornament together, then judge their proportions in a rendered view.

That does not make every generated version worth keeping. A mathematically consistent pattern can still look crowded at the neck or lose its character across the belly. Selecting the version is an artistic decision, informed by the geometry and by the object I want to make.

A vase whose hexagons become stars

The lower part of the vase is organized around broad hexagonal forms. Moving upward, the relief changes into interlaced rosettes and smaller stars. The transition follows the vessel's changing silhouette, so the ornament becomes denser where the neck narrows.

Close view of the vase relief showing broad geometric faces becoming interlaced stars
A detail of the digital prototype. The changing pattern is modeled as relief, so its faces catch light. Enlarge image.

This approach draws on parquet deformations: patterns that change gradually across a field. William Huff developed the idea in design teaching; Craig S. Kaplan explored it for Islamic geometric patterns. Kaplan's examples and references provide the background. My work applies that family of ideas to a particular vessel, with its own silhouette and relief treatment.

I want the transition to remain legible from across a room, with more detail appearing as you approach it. The broad faces and recessed strands give the render different readings as the light moves across them. The grey material shown here makes those changes easier to inspect before deciding on the production finish.

A Fibonacci ring dish with a smooth interior

Rendered Fibonacci ring dish with a smooth bowl, rounded lip and spiral arrangement of shallow exterior cups
Fibonacci ring dish by Randall Morgan, 2026. Digital prototype for a forthcoming Pardesco object. Enlarge image.

The dish has a quiet interior and a much more active outer wall. Its shallow cups meet along ridges that form several visible spiral directions. Their arrangement draws on phyllotaxis, the study of how structures such as leaves or seeds are organized. Fibonacci relationships are part of this design vocabulary, rather than a claim that every natural spiral follows one formula.

Greg Blanpied's Zoetrope turned bowl was an inspiration for the surface treatment. This dish develops a separate profile and geometric arrangement. I wanted the texture to soften as it approached the rounded lip, where the bowl needs a calmer edge.

The refinement that mattered most

An earlier version showed a faint ring where the belly turned toward the shoulder. Changing the decoration alone did not resolve it: the underlying curve and the relief affected each other. I refined that interaction while preserving the overall shape I liked.

Side render of the ring dish showing the rounded shoulder and textured lower wall
Side view of the revised digital prototype. A faint trace remains in some lighting; physical samples will be evaluated before release. Enlarge image.

The resulting render is cleaner, though a small trace can still appear from a distance. I prefer recording that limit to calling a render a perfect solution. A physical sample will show how the surface behaves under ordinary room lighting and how it feels in the hand.

From a render to a physical object

The current vase and dish exports passed the mesh check for non-manifold edges. That is a useful check on the model's connectivity. It does not establish print quality, durability or suitability for holding water.

Material choice and physical testing still matter. The release pages will describe the actual finish and intended use once those decisions are confirmed. The production geometry, construction settings and print files remain private; the images here document the designs and their development.

For work that has already been fabricated, my Chaos & Harmony case study shows how geometric relief behaves in carved and stained wood.

AI-assisted design in Blender

I use Blender to inspect the forms and render their surfaces, with coding assistance for parts of the tooling. I direct the geometry, choose which variations to keep and review the result. The vase and dish images come from modeled surfaces rendered in a scene.

That workflow is useful because a specific visual problem can send me back to the model. The ring around the dish's shoulder is an example: it became a question about the surface itself, and the revised render let me judge the change. Code assistance speeds up that iteration, but a plausible script still needs checking.

Much of that loop runs through Claude connected to Blender over MCP, so I can describe a lighting or material change and see it in the viewport. If you want the same setup on Windows, I package it as a one-click Blender MCP installer.

The broader algorithmic art article follows the same practice through algorithmically generated star patterns: how a few rules about polygons and angles produce interlaced designs.

Coming to Pardesco

The patterned vase, Fibonacci ring dish and related 3D-printed designs are coming soon. This section will link to the finished pieces when they are available, with photographs and confirmed product details. There is no release date or preorder open for these designs yet.

Randall Morgan

About Randall Morgan

I make geometric artwork at Pardesco in Cincinnati, with a background in architecture at the University of Cincinnati's DAAP. My work has appeared in the juried mathematical art exhibitions at Bridges and the Joint Mathematics Meetings. Exhibition history and artist CV.

Frequently asked questions

What is parametric design?

Parametric design defines a form through adjustable relationships. In a patterned vessel, the surface and ornament can respond together as the overall shape changes.

What is a parquet deformation?

A parquet deformation is a pattern that changes gradually across a field. The vase applies this idea to relief that transitions from broad hexagonal forms toward smaller stars.

Why is this called a Fibonacci ring dish?

The exterior uses Fibonacci spiral relationships to organize its repeating cups. The inside stays smooth and the relief eases toward a rounded lip.

Are the vase and ring dish available to buy?

They are coming soon to Pardesco. These images show digital prototypes. Product links, finished photographs, materials and care details will be added when the designs are released.

Can I download the STL or construction files?

The production models, construction settings and print files for these Pardesco designs are private. This article presents selected images and design context.

Are these photographs of 3D prints?

No. These are renders of modeled geometry. Physical samples and finished-product photography are still needed before the product release.