In the field of mathematics, a matrix is: “ a rectangular array of quantities or expressions in rows and columns that is treated as a single entity and manipulated according to particular rules .” This workshop will explore orthogonal, cubic, and rectangular geometrical systems using algorithmic software. We will delve into the fragmentation and deconstruction of volumes, surfaces, and line-work to create systems of grids and subdivisions. We will be working with recursivity, which involves the continuous multiplication and sub-division of geometry that leads to the creation of complex schematics. Such workflows may be helpful in engaging with urban contexts or tectonic particularities.

The software used in the course will be Rhino and Grasshopper with the plug-in Pufferfish and an introduction to Mandelbulb 3D.

The workshop will primarily focus on Grasshopper and the plug-in Pufferfish to explore geometrical operations. We will look at techniques that yield certain results as we work with specific geometric typologies. The geometric typologies that will be examined will be orthogonal, cubic, and rectangular geometrical systems. We will examine particular geometry operations, the grouping of geometric clusters, their scaling and dispersion, and the subdivision and isolation of specific components. We will also be exploring the formation of fractals in the Mandelbulb 3D software. In Mandelbulb 3D, we will introduce the interface and basic formulas inside the software. We will also guide you through exporting your Mandelbulb 3D mesh into Rhino.

• Comprehend the manipulation of complex geometrical systems by operating on the parameters that drive the system.
• More fluidly compose the aggregation of shifting grids and subdivided volumes as integrated schematics.
• Understand the nature of Fractals in a more intimate sense and how they function and form.

• The workshop will focus on orthogonal geometries as geometric systems, like shifting grids and subdivided volumes.
• Through hands-on exercises, We will guide you in the process of subdividing regions and rectangles using Pufferfish grasshopper components and the substrate component of grasshopper.
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• We will be offsetting surfaces at variant distances and extruding at variant lengths, creating arrays and fields of geometric compositions
• We will explore different ways of integrating fields of line works and surfaces to create aggregations of clusters and volumes.
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• As a relative but separate note, we will provide an introduction to Mandelbulb 3D, where fractal structures will be explored.
• How to navigate the Mandelbulb 3D interface.
• Introduction to particular formulas.
• Formula parameter modification techniques.
• Exporting voxel stacks from Mandelbulb 3D using the Fiji J Image Compiler.

• Total sessions: 2 Sessions
• PAACADEMY will provide a certificate of attendance.