801 INTRODUCTION TO 3D MODELLING AND PARAMTERIC DESIGN
C O N T E N T 1. ORIGAMI MECHANISMS
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2. TENSILE STRUCTURE
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3. FEILD POINTS
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4. DYNAMIC PATTERN
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5. DYNAMIC FACADE
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6. ROTATED ARC PAVILION
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7. VORONOI CONNECTIONS
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8. BUBBLE MESH ATRIUM
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9. MATHEMATICAL FORMS
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ORIGAMI AND FOLDING MECHANISMS 3
ORIGAMI FOLDING USING CRANE PLUGIN FOR GRASSHOPPER
ORIGAMI FOLDING USING KANGAROO SOLVER PLUGIN IN GRASSHOPPER
Angle of hinge rotation: 0
Angle of hinge rotation: 45
Angle of hinge rotation: 90
Angle of hinge rotation: 135
1. Introduce crease lines
2. Surface from bounding box of lines
3. Split surface, join fragments to make simple mesh
4. Define mountains and valleys
1. Introduce surface
2. Define vertices
3. Join vertices to make crease lines
4. Add hinge to lines
5. Make circles of varrying radii from points
6. Add magnetic field and direction
7. Divide circle and project lines from division
8. Curve lines to magnetic field
5. Add load to vertices
6. Define valleys
7. Define mountains
8. Toggle hinge angle to animate
Origami models can be created using different techniques such as self-folding origami, spring-based creases, hinged dissections, and alternate crease patterns in the same paper boundary. The crease pattern is a bunch of creases that are flat foldable, and the folded state is the finished product. The creases can be mountain creases (bottom sides touch) or valley creases (top sides touch). The mountain-valley assignment determines which creases are mountain and which are valley. A sequence of simple folds will lead to flat folding.
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Comparing both methods to creating an operative origami model, we can conclude that the crane plugin helps in the visualisation/animtion of the folding and is easier to use. Whereas with kangaroo plugin we can have more control of the hinge movements.
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TENSILE STRUCTURE
1. Define surface
2. Add load to points
FEILD POINTS
3. Add edge lengths, loads, points to solver
4. Iterate
1. Introduce surface
2. Offset boundary to constrain feild points
3. Introduce points as centers
4. Add charge to points
5. Make circles of varrying radii from points
6. Add magnetic field and direction
7. Divide circle and project lines from division
8. Curve lines to magnetic field
Magnetic field lines are used to visualize the direction and strength of a magnetic field. Tensile structures are the most common type of thin-shell structures and are used in a variety of applications, such as roofing systems, canopies, and bridges. They are characterized by their ability to work under stress tensile, their ease of pre-fabrication, their ability to cover large spans, and their malleability
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The direction of the magnetic field is tangent to the field line at any point in space, and the strength of the field is proportional to the closeness of the lines. Charged particles move along curved paths in a magnetic field. The direction of the magnetic force on a charged particle is perpendicular to both the direction of the particle’s motion and the direction of the magnetic field. As a result, the particle moves in a circular or helical path along the magnetic field lines 3. This phenomenon is used in many applications, such as particle accelerators, mass spectrometers, and magnetic resonance imaging (MRI) machines. 7
1. Introduce surface
2. Offset boundary to constrain feild points
3. Introduce points as centers
4. Add attractor point in MD slider
5. Define vertices of all cells
6.
7. Displace vertices to attractor point
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9. Toggle with MD slider to change pattern
Connect displaced points to vertices
Connect diagonally opposite vertices
Dynamic patterns in architecture refer to the use of flexible, adaptable, and interactive design elements that can respond to changing environmental conditions ¹. These patterns are used to create structures that can adjust to external stimuli, optimize energy consumption, and enhance indoor comfort ². In software architecture, dynamic patterns are used to support architectures with dynamically shifting structures, which are required to cope with the dynamics of their applications ¹. Two such patterns are the *dynamic part pattern* and the *dynamic role pattern* ¹. The former is used to describe the behavior of a component that can be dynamically added or removed from a system, while the latter is used to describe the behavior of a component that can change its role dynamically ¹.
DYNAMIC PATTERN 8
1. Specifying dynamic software system architectures. https://link.springer.com/article/10.1007/s10270-021-00875-0.
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1. Introduce surface
2. Introduce line as attractor
3. Make skewed quads
4. Extract edges
5. Get centroids
6. Offset cell boundary
7. Displace same boundary to give thickness
8. Loft displaced boundary to original
9. Toggle with slider to change pattern
Dynamic facades are a type of architectural envelope that can adapt to external stimuli, optimizing energy consumption and indoor comfort. Unlike traditional static facades, dynamic facades are designed to be flexible, interactive, and adaptable to changing environmental conditions. They can change their color, reflectivity, transparency, or even shape depending on the architect’s design preference.
DYNAMIC FACADE 10
1. What is a Dynamic Facade? | illustrarch. https://illustrarch.com/articles/13864-what-is-a-dynamic-facade.html. 2.
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1. Introduce concentricbase curves
2.
Divide curves points
into
3. Introduce equal number of points in Z direction
4. Form 3 point arcs
5. Loft to make surface
6. Isotrim surface
7. Random division in panels
8. Extrude surface
9. Make pipes with subdivision
Arcs are a common geometric element used in architecture. They are curved symmetrical structures that serve to support the weight of other architectural formations. Moreover arcs also generate interesting structures and are aesthetically appealing. Array of arcs creates rhythm and forms the grid for a minimal surface.
ROTATED ARC PAVILION 12
1.
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1. Define bounding geometry
2. Populate geometry with points
3. Create Voronoi cells
4. Get centroid of faces of cells
5. Create lines between centroids
6. Make pipe with lines
7. subd
8. Growth on mesh
Voronoi is a mathematical concept that is used to divide space into a set of cells. Each cell is defined by a point in space and contains all the points that are closer to that point than any other point in the set. The Voronoi diagram has many applications in computer graphics, robotics, and particle physics. For example, it can be used to calculate 3D shattering or fracturing geometry patterns in computer graphics, to find clear routes in autonomous robot navigation, and to analyze a system of particles in particle physics.
VORONOI CONNECTIONS 14
1.
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1. Introduce points as centers of geometry
2. Add charge to points with varying radii
3. Make a cocoon mesh
4. Refine mesh
5. Introduce cutting plane
6. Split Geometry
7. Refine mesh edges after cutting
8. Add thickness to mesh edges
9. Add materials
Bubble structures are a type of construction that uses a series of interconnected bubbles to create a structure. They are characterized by their light weight, strength, and flexibility, and are used in a variety of applications, such as roofing systems, canopies, and bridges ¹. Bubble structures have been used in architecture since the 1940s, when California architect Wallace Neff invented the first bubble home. Neff used a technique called airform to construct the homes quickly and inexpensively ². Today, bubble structures are used in a variety of architectural applications, such as the creation of geodesic domes, which are made up of a series of interconnected triangles that form a sphere ³. Bubble structures are also used in the creation of lightweight, flexible canopies and roofs, which can be used to cover large areas with minimal support ⁴. Overall, bubble structures are a versatile and innovative approach to architecture that offer many benefits over traditional construction methods.
BUBBLE MESH ATRIUM 16
(1) Here’s Everything You Need to Know About Bubble Houses - The Spruce. https://www.thespruce.com/bubble-house-architectural-style-8303230. (2) Architecture Bubble Diagrams – How important are they? - archisoup. https://www.archisoup.com/architecture-bubble-diagrams. (3) Understanding Architecture Bubble Diagrams: A Comprehensive Guide. https://archarticulate.com/architecture-bubble-diagram-space-planning/. (4) The history of bubble architecture - RTF | Rethinking The Future. https://www.re-thinkingthefuture.com/designing-for-typologies/a3041-the-history-of-bubble-architecture/.
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1. Define expressions to contruct points
2. Make mesh out of points
3. Make surface out of points
4. Make subd from surface
5. Divide into mesh
6. Thickness
In mathematics, a minimal surface is a surface that locally minimizes its area. This is equivalent to having zero mean curvature The term “minimal surface” is used because these surfaces originally arose as surfaces that minimized total surface area subject to some constraint. Physical models of area-minimizing minimal surfaces can be made by dipping a wire frame into a soap solution, forming a soap film, which is a minimal surface whose boundary is the wire frame. However, the term is used for more general surfaces that may self-intersect or do not have constraints. In differential geometry, the associate family (or Bonnet family) of a minimal surface is a one-parameter family of minimal surfaces which share the same Weierstrass data. Some examples of associate surface families are: the catenoid and helicoid family A helicoid is a minimal surface that has a helix as its boundary. It is the only ruled minimal surface other than the plane
MATHEMATICAL FORMS: HELICOIDAL 18
1. https://en.wikipedia.org/wiki/Minimal_surface 2.
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