Natural Algorithms Book PART 2 PAGES Dec, 14, 2020

A STUDY OF NATURAL

ALGORITHMS

Willem Tauveron GDES-3102-01

Dec. 15th. 2020

TABLE OF CONTENTS

2

CHAPTER 1. A STUDY OF NATURE

PACKING

SPIRALING

BLENDING

CHAPTER 2. IN DEPTH PACKING

APPLICATIONS

ILLUSTRATIONS

MODELING

3D EXPRESSION

CHAPTER 3. PARAMETRIC EVOLUTION

3D PARAMETRIC EVOLUTION

CHAPTER 4. PARAMETRICS

PARAMETRIC EXPLORATION

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A Study of Natural Algorithms

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TABLE OF CONTENTS

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CHAPTER 6. CUBES IN SPACE

SPATIAL PARAMETRIC EVOLUTION

CHAPTER 7. OBSERVATION

PHYSICAL PACKING EVOLUTION

CHAPTER 8. PARAMETRIC PLAINS

3D PARAMETRIC TRANSITIONS

CHAPTER 9. APPLICATION

PRODUCT IDEATION

GRASSHOPPER CODE

CHAPTER 10. PRODUCTION

PRODUCTION PROCESS

CNC LAYOUT

CHAPTER 11. REFLECTION

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REFERENCE


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“There is no better designer than nature”

Alexander McQueen


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A STUDY OF NATURE

1A brief look into 3 of the 7 natural algorithms that make up our world.


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In this chapter, we will conduct an investigation into 3 of the 7 natural algorithms

found in our world. These algorithms, which are tiling, spiraling,

packing, flocking, cracking, blending and weaving are found in both natural

and synthetic forms. Out of the 7, blending, packing and spiraling were

chosen to analyze. This analysis on each algorithm consists of a natural

example, a logical explanation, a representational drawing and a model of

each. These forms of expression and research are beneficial as they help

outline underlying details and geometries that are often over looked.


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CHAPTER 1. STUDY OF NATURE

PACKING PHOTO

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PACKING LOGIC

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Creation. Begin with any form. Randomly surround this form with others

that are similar in shape and size to create a group. Continue to adapt and

add more shapes of different sizes to create a larger packing formation.

Make sure these shapes are not overlapping.

General Logic. Packing is commonly found in nature in forms such as

bug eyes, cells, flower heads and carbonation bubbles. These shapes can

offer stability in a structure while still appearing to be an open and light

form. Often times the integration of more shapes and better organization

offers more strength and stability throughout the structure. These patterns

re arrange when force is applied in order to minimize energy.


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PACKING ILLUSTRATION

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PACKING MODEL

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SPIRAL ILLUSTRATION

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SPIRAL LOGIC

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Creation. Start with multiple circles formed around an axis. Proceed to

choose an angle in which you desire the spiral to form around. Use this

angle to plot points on each ascending circle, then connect the points with

a curved line.

General Logic. Spirals are commonly found in nature through the organization

of plant leaves, sea shells, animal tails and even hurricanes. A spiral

tarts from a center point and always increases in size, these forms can be

distorted by implementing an offset axis. This will cause the form to expand

and contract opposite sides. Many spirals found in nature form around

the golden ratio, a mathematical sequence considered to be aesthetically

pleasing and harmonious. Spirals can be strong and flexible shapes, the

distribution of force applied on a spiral will always be re-distributed down

the form until reaching the end.


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SPIRAL ILLUSTRATION

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SPIRAL MODEL

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BLENDING PHOTO

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BLENDING LOGIC

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Creation. Begin with any two shapes, these will eventually morph into one

another. Proceed to continuously adapt the first shape in size and form to

reach the desired end shape. Plot this pattern over a series of shapes to

create a more convincing blending effect.

General Logic. Commonly seen in nature through natural camouflage on

animals such as tigers, zebras and leopards. Blending entails a series of

shapes and contrast in order to morph into the surrounding environment.

This can be done using a single layer, or using multiple layers to create

depth within the pattern. This technique is used by the military to allow

soldiers to seamlessly blend into a given environment.


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BLENDING ILLUSTRATION

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BLENDING MODEL

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PACKING IN DEPTH

2A comprehensive exploration into the algorithmic packing of forms


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In this chapter, we will turn our focus onto one of the 3 algorithms previously

discussed. This portion of the text will look to provide a more in

depth analysis into the algorithm of packing. This is shown through various

examples of packing in natural circumstances as well as synthetic. In

addition to this, representational drawings are used to outline the details

in each photograph to more easily show the algorithm at work. Lastly, This

chapter will include 2D models of packing formations to build on the visual

information displayed through illustrations.


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CHAPTER 2. PACKING IN DEPTH

NATURAL PACKING CHAMELEON SKIN

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SYNTHETIC PACKING PEBBLE TILING

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SYNTHETIC PACKING LOG PILE


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NATURAL PACKING CARBONATION BUBBLES

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SYNTHETIC PACKING STONE WALL

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ILLUSTRATION


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ILLUSTRATION


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ILLUSTRATION

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ILLUSTRATION

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ILLUSTRATION

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MODELING

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MODELING

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MODELING

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MODELING

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MODELING

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3D EXPRESSION

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PARAMETRICS

3The evolution of a 3D parametric packing model


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In this chapter, we will conduct a thorough analysis of how a set of constraints

can influence a 3-dimensional packing model in 5 stages. These

stages each represent part of the evolution in the model, and show how

the constraints applied to each vastly allow the form to be altered.


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CHAPTER 3. PARAMETRIC MODELS

PARAMETRIC EVOLUTION

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PARAMETRICS

4An exploration in 3D parametric packing models


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In this chapter, we will analyze 4 different parametric packing models.

These models are constructed in 3D and display the packing algorithm in

various forms with various constraints. The purpose of this representation

is to explore the packing algorithm further to begin to conceptualize how

the algorithm could potentially be translated into products and spaces.


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PART 2


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CUBES IN SPACE

6An exploration in rectangular parametric packing models


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In this chapter, we will continue to analyse parametric models using rectangular

forms. The idea behind this exploration was to use an invisible cube

as a constraint, and pack as many randomized rectangular forms within.

This model consists of 5 transitions, each building of the last, showing a

clear evolution of the from its initial stage to its final form.


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SPATIAL PARAMETRIC EXPLORATION

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OBSERVATION

7An experimental study of physical packing models


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In this chapter, we will illustrate the evolution of a parametric model in the

physical world. This exploration was created by dropping small drops of

red wine from a syringe into a pool of oil. The pool of oil is floating on a

larger bath of water. The oil acts as a cradle to the wine, allowing each

drop to maintain its own shape. The model is transformed through the 5

stages by blowing through a straw, creating enough force to separate the

oil while keeping the wine intact. In these models, the vibrant blue depicts

the wine, while the white outline depicts the oil.


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PARAMETRIC PLAINS

8Studying the parametric transitions of spheres on a single 3D plain


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In this chapter, we will study how a parametric model functions on a single

plain illustrating how a form can drastically change based on the constraints

and values implemented. Throughout the transitions the volume,

proximity and value of the spheres and their relationships to each other

are altered to produce different forms. Changing these attributes in Grasshopper3D

alters the complexity of the model and provides deeper understanding

of the initial form.


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APPLICATION

9Real life applications of a single packing form


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In this chapter, we will analyse how a single form can take on different

meanings through the manipulation of its scale. Each ideation consists

of the same form which has been slightly altered through its variables to

better complement its indented purpose. These ideations use a single

parametric model as a starting foundation, while the material, texture and

tactility of each product can be imagined by the viewer.


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PRODUCT IDEATION - PAVILION

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PRODUCT IDEATION - PUBLIC SEATING

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PRODUCT IDEATION - LIGHTING

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PRODUCT IDEATION - RING

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PRODUCT IDEATION - INSTALLATION

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GRASSHOPPER ALGORITHM

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PRODUCTION

10The process of physically producing this form


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In this chapter, we will analyse how one of these parametric instillations

would be produced in real life. The outdoor installation that was chosen,

will be produced completely out of CNC cut acrylic sheets. These sheets

will be held in place by a single chrome pipe running the length of each

tower. The structure will stand 15m tall, with each acrylic sheet being 2cm

thick with 10cm spacers. The gradient acrylic, paired with the suns natural

light will make for a playful array of colour in the outdoor space.


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INSTALLATION

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PRODUCTION FOCUS

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PRODUCTION MEASUREMENTS

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4m

10cm


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CNC TEMPLATE

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FINAL INSTALLATION

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FINAL INSTALLATION

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FINAL THOUGHTS

11A brief reflection on the learning outcomes of this experience


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Natural algorithms are found all over our world and are often overlooked

as mundane parts of nature. It is not until one dig’s deeper into understanding

and exploring an algorithm that they can understand the potential

and complexity of it. Once the logic of a natural working order such

as packing is understood, one can begin to theorize and explore how this

could be implemented in our everyday lives, and how it can start to shape

our future. The culmination of the research, ideations, physical & digital

modeling has given me a new understanding of design. This process has

led me to re-evaluate my own work, and the possibilities for future work

with an in depth understanding of packing and its algorithmic logic.


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CITATIONS

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Research

- Aranda, Benjamin, et al. Tooling: Aranda, Lasch. Princeton Architectural Press, 2010.

-“Patterns In Nature: Where to Spot Spirals.” Science World, 9 Dec. 2019, www.scienceworld.ca/

stories/patterns-nature-where-spot-spirals/.

- Klappenbach, Laura. “How Do Common Animals Use Camouflage to Survive?” ThoughtCo, www.

thoughtco.com/camouflage-129662.

Images

- Barnes, Douglas, and About Douglas BarnesI’m a sustainable designer. I live in the countryside in

Tweed. Patterns in Nature: Packing Them In. 9 Sept. 2012, www.permaculturereflections.com/patterns-in-nature-packing-them-in/.

-https://www.smithsonianmag.com/innovation/these-new-solar-cells-are-modeled-after-flyseye-180964911/

-https://www.robertharding.com/blog/2014/01/27/spirals-in-nature/

- https://www.nationalgeographic.com/photography/photo-of-the-day/2013/6/eastern-screechowl-georgia/

- https://pva.supply/product/chameleon-skin-25/

- https://interceramicusa.com/products/detail/river-rocks/196092

- https://www.amazon.ca/Natural-Rustic-Stacked-Wallpaper-Statement/dp/B01HR33202

- https://en.wikipedia.org/wiki/Stone_wall

- https://rawxtract.bandcamp.com/track/celestial-soda-pop-n-fizz

- http://www.nonscandinavia.com/silhouettes

Grasshopper

- https://www.youtube.com/watch?v=riFZHZC53T8


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