Parametric Modelling 101 Chris Wilkins

Size: px
Start display at page:

Download "Parametric Modelling 101 Chris Wilkins"

Transcription

1 Parametric Modelling 101 Chris Wilkins

2 Today: - What is parametric modelling? - Why should we be using it? - Lots of examples. - Demo of Grasshopper for Rhino.

3 Why Parametrics? - Visualization tool Santiago Calatrava - Turning Torso How do we visualize? Imagining, sketching, models, 3D renders,... and now Parametrics.

4 Why Parametrics? - Visualization tool - Mass customization & digital fabrication Parameters controlling unique aspects inside a repetitive process.

5 Why Parametrics? - Visualization tool - Mass customization & digital fabrication - Advanced geometries Marc Fornes How does one model such a surface???

6 Why Parametrics? - Visualization tool - Mass customization & digital fabrication - Advanced geometries - Dynamic Structures Santiago Calatrava - Milwaukee Art Museum Seemingly two wings - dozens of moving beams working in unison.

7 Parametrics - a Visualization Tool Parameters are variables. Variables in the design process such as: -building height, footprint, ceiling height Or variables relative to site: -sun angles, topography, views Parameters are decisions to be made.

8 Designing with Parameters (the old way) As we encounter these decisions, we visualize possible outcomes, based on different parameters. Some basic building parameters: - ceiling height (8-12 feet) - square footage (100, ,000 sqft) - max height restriction and property lines You imagine, sketch, draw or render different variations. And then you commit and proceed with the design.

9 Parametrics is Multidimensional Parametric modelling process: - Design the process, with parameters as input. - Tweak the parameters and visualize each outcome. We ve designed the process, and now the computer builds the solutions.

10 Example: Calatrava s Turning Torso How would YOU model this? Traditional modelling is tedious and repetive and when complete, you can visualize only one outcome.

11 Turning Torso using Grasshopper First, define process and parameters: 1. Draw footprint. 2. Raise floors. 3. Rotate floors. Then, adjust the parameters to visualize all of the possible outcomes. (see Grasshopper example: BoxTower ) You are now modelling with virtual clay - bake it into Rhino when satisfied.

12 Mass Customization & Digital Fabrication

13 Mass Customization & Digital Fabrication Mass Customization: a repetitive manufacturing process in which individual pieces are different, potentially unique. Digital Fabrication: driving fabrication process with digital instructions.

14 Marc Fornes Each of the very many circular pieces are potentially unique.

15 Example: Gantenbein Winery Facade Gramazio & Kohler The parameter in this case is an image. More specifically, the grayscale values in the image.

16 1. Robot angles bricks based on grayscale values of image. Bricks are adhered to one another rather than mortared. 2. Wall panels lifted one by one into place. 3. Workers put panels in place.

17 Gramazio & Kohler - Gantenbein Winery See the grapes in the basket?

18 Gramazio & Kohler - Gantenbein Winery

19 Example: Trade Show Booth Lift Architects The client s product is sold in Mason jars, so thousands of lids were suspended by fishing line to create the trade show booth s ceiling.

20 The parameter in this case is the height of the surface, at each location on the grid.

21 Lift Architects The final product. Mason Jar lids become art. Lift used Grasshopper, Rhinoscript and Excel for this project and were kind enough to post it as an online tutorial.

22 Advanced Geometries

23 Hello, I m a box. I m a very basic shape. I have 3 parameters - x, y, and z.

24 Our minds are good at assembling many basic shapes to form more complex shapes. If a building is to be 5 boxes stuck together, then the basic parameters are now: x1, y1, z1 x2, y2, z2 x3, y3, z3 x4, y4, z4 x5, y5, z5 15 parameters, yet still no need for computers.

25 Gaudi was a genius. He saw entire symphonies of shape in his mind. What is not obvious is that his shapes were based on mathematics.

26 Gaudi s domes and vaults: A hyperboloid of one sheet was used to design the arches to the left. The shape above is the same.

27 Now things are getting a little more difficult. This is a box sheathed in... what? Is something growing on it? Aquatower, Chicago How do you describe this shape? Wavy? Sinusoidal? Undulating?

28 Shapes based on mathematics: - Now the parameters are related to each other via equations. (see Grasshopper example: FunctionTest)

29 Now, a more complex version of the same. (see Grasshopper example: CompositeSineSurface by Ted Ngai)

30 A tour of projects and people using advanced geometries for both art and architecture:

31 Evan Douglis - biomorphic - fluid - art installations

32 Dave Pigram and Iain Maxwell - corrosive deformation of shape

33 supermanoeuvre - process

34 - very many parts - very many connections - complexity Marc Fornes theverymany.net

35 Marc Fornes

36 Marc Fornes

37 Marc Fornes - serious digital fabrication

38 Joe MacDonald The Bone Wall

39 Joe MacDonald Aquarium Wall

40 Dynamic Structures Santiago Calatrava - Milwaukee Art Museum

41 Example: Opening Windows (see Grasshopper example: BikeDepot.3dm,.wrm)

42 Theo Jansen - Kinetic Sculptor Link to web video of sculpture in motion:

43 Chuck Hoberman - Inventor Link to web video of arch in motion:

44 End of slide show. Stick around for the Grasshopper tutorial. Download this PDF at:

AREA Judo Math Inc.

AREA Judo Math Inc. AREA 2013 Judo Math Inc. 6 th grade Problem Solving Discipline: Black Belt Training Order of Mastery: Area 1. Area of triangles by composition 2. Area of quadrilaterals by decomposing 3. Draw polygons

More information

LEARNING HERITAGE RESTORATION, LEARNING MATHEMATICS. Santiago Sanchez-Beitia, Javier Barrallo

LEARNING HERITAGE RESTORATION, LEARNING MATHEMATICS. Santiago Sanchez-Beitia, Javier Barrallo LEARNING HERITAGE RESTORATION, LEARNING MATHEMATICS Santiago Sanchez-Beitia, Javier Barrallo The University of the Basque Country Plaza de Onati, 2. 20009 San Sebastian. SPAIN Introduction On one occasion,

More information

OpenStax-CNX module: m The Ellipse. OpenStax College. Abstract

OpenStax-CNX module: m The Ellipse. OpenStax College. Abstract OpenStax-CNX module: m49438 1 The Ellipse OpenStax College This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 4.0 In this section, you will: Write equations

More information

Det Teknisk-Naturvidenskabelige Fakultet Første Studieår AALBORG UNIVERSITET Arkitektur Og Design MATEMATIK OG FORM

Det Teknisk-Naturvidenskabelige Fakultet Første Studieår AALBORG UNIVERSITET Arkitektur Og Design MATEMATIK OG FORM Det Teknisk-Naturvidenskabelige Fakultet Første Studieår AALBORG UNIVERSITET Arkitektur Og Design MATEMATIK OG FORM 5 March 2012 - Lecture GH2 (in English) Matrices and Transformations in Grasshopper Group

More information

S206E Lecture 15, 4/27/2018, Rhino 3D, Grasshopper, Shanghai Tower modeling

S206E Lecture 15, 4/27/2018, Rhino 3D, Grasshopper, Shanghai Tower modeling S206E057 -- Lecture 15, 4/27/2018, Rhino 3D, Grasshopper, Shanghai Tower modeling Copyright 2018, Chiu-Shui Chan. All Rights Reserved. Creation of high-rise building models has a typical algorithm, which

More information

Problem Sets. GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area

Problem Sets. GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area Problem Sets Video tutorials: http://bit.ly/eurekapusd Info for parents: http://bit.ly/pusdmath 5 GRADE Mathematics Curriculum GRADE 5

More information

Building Information Modeling

Building Information Modeling Chapter Building Information Modeling 1 Building information modeling (BIM) is an integrated workflow built on coordinated, reliable information about a project from design through construction and into

More information

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition GEOMETRY AND MEASUREMENT TEST GRADE 6 #51-90 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes

More information

S206E Lecture 16, 4/27/2018, Rhino 3D, Grasshopper & Architecture Modeling

S206E Lecture 16, 4/27/2018, Rhino 3D, Grasshopper & Architecture Modeling Copyright 2018, Chiu-Shui Chan. All Rights Reserved. Create regular features on façade and form: S206E057 Spring 2018 Modeling panel features or structural components could be done by a few components

More information

ARCH_ _COMP-PRAC REVIT SYLLABUS

ARCH_ _COMP-PRAC REVIT SYLLABUS ARCH_4605-5605_COMP-PRAC REVIT SYLLABUS The Revit Portion of Computational Practice is divided into 3-Parts: Part 1 Classes 01-06 [RE&EM] Revit Essentials & Existing Models Part 2 Classes 07-12 [RF&AC]

More information

Geometric Modeling Lecture Series. Prof. G. Wang Department of Mechanical and Industrial Engineering University of Manitoba

Geometric Modeling Lecture Series. Prof. G. Wang Department of Mechanical and Industrial Engineering University of Manitoba Geometric Modeling 25.353 Lecture Series Prof. G. Wang Department of Mechanical and Industrial Engineering University of Manitoba Introduction Geometric modeling is as important to CAD as governing equilibrium

More information

Tutorial 4: Texture Mapping Techniques

Tutorial 4: Texture Mapping Techniques Tutorial 4: Texture Mapping Techniques Completion time 40 minutes In the previous tutorial we learned how to create materials, and how to assign texture maps to those materials. In this tutorial we will

More information

Introduction to Solid Modeling

Introduction to Solid Modeling Introduction to Solid Modeling Parametric Modeling 1 Why draw 3D Models? 3D models are easier to interpret. 3D models can be used to perform engineering analysis, finite element analysis (stress, deflection,

More information

Visual Representations: Geometry in Art. Common Core State Standards. Students will decompose polygons into triangles, rectangles, and trapezoids.

Visual Representations: Geometry in Art. Common Core State Standards. Students will decompose polygons into triangles, rectangles, and trapezoids. Lesson in Action Visual Representations: Geometry in Art AT A GLANCE Launch Warm up with a review Have students demonstrate and explain different solutions to the Compare and contrast the two visual representations.

More information

Design, Computation and Computer Controlled Devices

Design, Computation and Computer Controlled Devices 4.212 Design Fabrication Design, Computation and Computer Controlled Devices Prof. Larry Sass Department of Architecture and Planning MIT LECTURE #1 Design Theory of Design Fabrication Fabricating Space

More information

Grasshopper BIM. Session 11. Jon Mirtschin, Geometry Gym Pty Ltd. Class Description

Grasshopper BIM. Session 11. Jon Mirtschin, Geometry Gym Pty Ltd. Class Description Session 11 Grasshopper BIM Pty Ltd Class Description Introduction to Grasshopper as a graphical programming environment and how it can be used to author BIM data for software such as Revit. Case studies

More information

FLAMINGO CHEAT SHEET FOR ES 305 CLASS 5 Pages of Fresh Flamingo Goodness

FLAMINGO CHEAT SHEET FOR ES 305 CLASS 5 Pages of Fresh Flamingo Goodness FLAMINGO CHEAT SHEET FOR ES 305 CLASS 5 Pages of Fresh Flamingo Goodness *Keep this PDF with you at all times it will help you to maneuver the vast and confusing ocean that is the Flamingo Materials Editor!

More information

M.C. Escher. Tessellations, 1957

M.C. Escher. Tessellations, 1957 In mathematical quarters, the regular division of the plane has been considered theoretically. Does this mean that it is an exclusively mathematical question? In my opinion, it does not. Mathematicians

More information

AUTODESK INVENTOR MODULAR BASED TRAINING

AUTODESK INVENTOR MODULAR BASED TRAINING AUTODESK INVENTOR MODULAR BASED TRAINING INTERMEDIATE AND ADVANCED DOCUMENT REVISION 0.0.0 REVISIONS DATE 30/06/2016 CREATION DATE 30/06/2016 PREPARED BY Craig Snell Symetri Limited Part of Addnode AB

More information

Objective: Find the total volume of solid figures composed of two nonoverlapping

Objective: Find the total volume of solid figures composed of two nonoverlapping Lesson 6 Objective: Find the total volume of solid figures composed of two nonoverlapping Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief Total Time

More information

Improving Productivity with Parameters

Improving Productivity with Parameters Improving Productivity with Parameters Michael Trull Rocky Brown Thursday, January 25, 2007 Improving Productivity with Parameters Part I The Fundamentals Parameters are variables which define the size

More information

Virginia Western Community College ARC 221 Architectural CAD Applications Software I

Virginia Western Community College ARC 221 Architectural CAD Applications Software I Virginia Western Community College ARC 221 Architectural CAD Applications Software I Prerequisites CAD 241 Course Description Teaches the principles and techniques of architectural drawing practices through

More information

6.1.3 How can I describe it?

6.1.3 How can I describe it? Name: Date: Per: A# 6.1.3 How can I describe it? Describing Transformations In Lesson 6.1.2, you used words and coordinate points to describe how a triangle moved on a graph. These expressions described

More information

What's New GRAITEC Advance PowerPack 2016

What's New GRAITEC Advance PowerPack 2016 What's New GRAITEC Advance PowerPack 2016 Table of contents WELCOME TO GRAITEC POWERPACK FOR REVIT... 5 NEWS... 6 Managers... 6 1: Family Manager... 6 BIM Connect... 7 1: Compliancy with Autodesk Revit

More information

Write the name of each shape. Also, find the number of faces, edges and vertices.

Write the name of each shape. Also, find the number of faces, edges and vertices. Name : Score : Faces,Edges & Vertices Write the name of each shape. Also, find the number of faces, edges and vertices. 1) Faces Edges Vertices 2) Faces Edges Vertices Name: Name: 3) Faces Edges Vertices

More information

STAAR Category 3 Grade 8 Mathematics TEKS 8.6A/8.6B/8.7A. Student Activity 1

STAAR Category 3 Grade 8 Mathematics TEKS 8.6A/8.6B/8.7A. Student Activity 1 Student Activity 1 Work with your partner to answer the following problems. Problem 1: The bases of a cylinder are two congruent that are to each other. The perpendicular distance between the two bases

More information

Building Information Modeling

Building Information Modeling Chapter Building Information Modeling 1 Building information modeling (BIM) is an integrated workflow built on coordinated, reliable information about a project from design through construction and into

More information

NARROW CORRIDOR. Teacher s Guide Getting Started. Lay Chin Tan Singapore

NARROW CORRIDOR. Teacher s Guide Getting Started. Lay Chin Tan Singapore Teacher s Guide Getting Started Lay Chin Tan Singapore Purpose In this two-day lesson, students are asked to determine whether large, long, and bulky objects fit around the corner of a narrow corridor.

More information

S206E Lecture 17, 5/1/2018, Rhino & Grasshopper, Tower modeling

S206E Lecture 17, 5/1/2018, Rhino & Grasshopper, Tower modeling S206E057 -- Lecture 17, 5/1/2018, Rhino & Grasshopper, Tower modeling Copyright 2018, Chiu-Shui Chan. All Rights Reserved. Concept of Morph in Rhino and Grasshopper: S206E057 Spring 2018 Morphing is a

More information

First Steps - Ball Valve Design

First Steps - Ball Valve Design COSMOSFloWorks 2004 Tutorial 1 First Steps - Ball Valve Design This First Steps tutorial covers the flow of water through a ball valve assembly before and after some design changes. The objective is to

More information

DATE PERIOD. Lesson Reading Guide

DATE PERIOD. Lesson Reading Guide NAME DATE PERIOD Lesson Reading Guide Get Ready for the Lesson Read the introduction at the top of page 316 in your textbook. Write your answers below. 1. Predict the number of triangles and the sum of

More information

VOLUME OF A REGION CALCULATOR EBOOK

VOLUME OF A REGION CALCULATOR EBOOK 19 March, 2018 VOLUME OF A REGION CALCULATOR EBOOK Document Filetype: PDF 390.92 KB 0 VOLUME OF A REGION CALCULATOR EBOOK How do you calculate volume. A solid of revolution is a solid formed by revolving

More information

Lecture 4, 5/27/2017, Rhino Interface an overview

Lecture 4, 5/27/2017, Rhino Interface an overview 數字建築與城市设计 Spring 2017 Lecture 4, 5/27/2017, Rhino Interface an overview Copyright 2017, Chiu-Shui Chan. All Rights Reserved. This lecture concentrates on the use of tools, 3D solid modeling and editing

More information

Getting Started. Moving Around in 3D

Getting Started. Moving Around in 3D Getting Started 1 Double-click the SketchUp icon or click: Start All Programs SketchUp 2018 SketchUp 2018 The start screen should look something like this: This person is about 5 5 tall this sets the scale

More information

Getting Started. Double-click the SketchUp icon or click: Start All Programs SketchUp 2018 SketchUp 2018

Getting Started. Double-click the SketchUp icon or click: Start All Programs SketchUp 2018 SketchUp 2018 Getting Started 1 Double-click the SketchUp icon or click: Start All Programs SketchUp 2018 SketchUp 2018 The start screen should look something like this: This person is about 5 5 tall this sets the scale

More information

My Notes CONNECT TO SCIENCE. Horticulture is the science and art of growing fruit, flowers, ornamental plants, and vegetables.

My Notes CONNECT TO SCIENCE. Horticulture is the science and art of growing fruit, flowers, ornamental plants, and vegetables. SUGGESTED LEARNING STRATEGIES: Summarize/Paraphrase/ Retell, Use Manipulatives, Activating Prior Knowledge, Self/ Peer Revision The Horticulture Club has been given some land to build a greenhouse. The

More information

Tetrahydrons. Digital Design & Full Scale Strategies. Mag.arch.MArch Andrei Gheorghe

Tetrahydrons. Digital Design & Full Scale Strategies. Mag.arch.MArch Andrei Gheorghe Tetrahydrons Group members : Jan Pernecky Natalia Daukszewicz Jürgen Steineder Ilias Klis Brigitta Nemeth Daria Bityukova Inspiration The Morning Line from Matthew Ritchie and Aranda/Lasch Architects (moving

More information

Homework. GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area

Homework. GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area GRADE 5 MODULE 5 Addition and Multiplication with Volume and Area Homework Video tutorials: http://bit.ly/eurekapusd Info for parents: http://bit.ly/pusdmath 5 GRADE Mathematics Curriculum GRADE 5 MODULE

More information

Integrated BIM and Parametric Modeling: Course Samples with Multiple Methods and Multiple Phases

Integrated BIM and Parametric Modeling: Course Samples with Multiple Methods and Multiple Phases 198 DIGITAL APTITUDES + OTHER OPENINGS Integrated BIM and Parametric Modeling: Course Samples with Multiple Methods and Multiple Phases WEI YAN Texas A&M University INTRODUCTION AND PROBLEM STATEMENT The

More information

Lecture Outlines Chapter 26

Lecture Outlines Chapter 26 Lecture Outlines Chapter 26 11/18/2013 2 Chapter 26 Geometrical Optics Objectives: After completing this module, you should be able to: Explain and discuss with diagrams, reflection and refraction of light

More information

TOPOGRAPHY - a LIDAR Simulation

TOPOGRAPHY - a LIDAR Simulation Title TOPOGRAPHY - a LIDAR Simulation Grade Level(s): 9-12 Estimated Time: 1.5 hours Discussion of Technology: Appendix A Construction Details: Appendix B MSDE Indicator(s) Goal 1: Skills and Processes

More information

Geometry. Name. Use AngLegs to model each set of shapes. Complete each statement with the phrase "is" or "is not." Triangle 1 congruent to Triangle 2.

Geometry. Name. Use AngLegs to model each set of shapes. Complete each statement with the phrase is or is not. Triangle 1 congruent to Triangle 2. Lesson 1 Geometry Name Use AngLegs to model each set of shapes. Complete each statement with the phrase "is" or "is not." 1. 2. 1 2 1 2 3 4 3 4 Triangle 1 congruent to Triangle 2. Triangle 2 congruent

More information

RHINO; AN INTRODUCTION + FAKING TRABECULAE; EndOfLine.info;

RHINO; AN INTRODUCTION + FAKING TRABECULAE; EndOfLine.info; RHINO; AN INTRODUCTION + FAKING TRABECULAE; EndOfLine.info; Rhinoceros is a relatively simple program with an AUTOCAD based interface. The disadvantage of this type of interface is a series of terms need

More information

Workshop name: CAD Strategies for 3D Printing

Workshop name: CAD Strategies for 3D Printing Page 1 of 9 Workshop name: CAD Strategies for 3D Printing Presented by James Novak: Griffith University Lecturer, PhD Candidate, Industrial Designer Activity 1 Parametric Test Models Discussion: Additive

More information

Rutherford Atomic Model: Hidden Obstacles Teacher Version

Rutherford Atomic Model: Hidden Obstacles Teacher Version Rutherford Atomic Model: Hidden Obstacles Teacher Version This lab demonstrates the techniques that scientists used over a century ago to determine the basic structure of the atom. By rolling marbles past

More information

Autodesk Project Vasari: Playing with Energetic Supermodels

Autodesk Project Vasari: Playing with Energetic Supermodels Autodesk Project Vasari: Playing with Energetic Supermodels Matt Jezyk & Zach Kron Autodesk AB9660-L In this hands-on lab, you will explore experimental tools and workflows using Autodesk Project Vasari.

More information

Envelope Parametric Model using Grasshopper

Envelope Parametric Model using Grasshopper Envelope Parametric Model using Grasshopper i Table of Contents Overview... 1 Learning Objectives... 1 Pre-requisites... 1 Glossary... 1 Tutorial... 2 1. Parametric Model Structure... 2 2. Drivers... 3

More information

TESSELATIONS. BIG IDEA: Students will create a representational tessellation composition in the style of M.C. Escher ESSENTIAL QUESTIONS:

TESSELATIONS. BIG IDEA: Students will create a representational tessellation composition in the style of M.C. Escher ESSENTIAL QUESTIONS: TESSELATIONS BIG IDEA: Students will create a representational tessellation composition in the style of M.C. Escher ESSENTIAL QUESTIONS: Why might M.C. Escher think like a mathematician? What is the relationship

More information

S206E Lecture 13, 5/22/2016, Grasshopper Math and Logic Rules

S206E Lecture 13, 5/22/2016, Grasshopper Math and Logic Rules S206E057 -- Lecture 13, 5/22/2016, Grasshopper Math and Logic Rules Copyright 2016, Chiu-Shui Chan. All Rights Reserved. Interface of Math and Logic Functions 1. Basic mathematic operations: For example,

More information

Classifying Quadrilaterals

Classifying Quadrilaterals Practice Book Use anytime after Bridges, Unit 3, Session 12. Classifying Quadrilaterals A quadrilateral is any polygon that has 4 sides. There are many kinds of quadrilaterals, including: Trapezoid: a

More information

Computational Design + Fabrication

Computational Design + Fabrication Computational Design + Fabrication Jonathan Bachrach EECS UC Berkeley August 27, 2015 Today 1 introduction thing compiler demos course info Traditional Architectural Design 2 Parametric Design 3 parameters

More information

PERSPECTIVES ON GEOMETRY PRE-ASSESSMENT ANSWER SHEET (GEO )

PERSPECTIVES ON GEOMETRY PRE-ASSESSMENT ANSWER SHEET (GEO ) PERSPECTIVES ON GEOMETRY PRE-ASSESSMENT ANSWER SHEET (GEO.11.02.2) Name Date Site TURN IN BOTH TEST AND ANSWER SHEET TO YOUR INSTRUCTOR WHEN DONE. 1. 18. I. 2. 19. 3. 20. 4. 21. 5. 22. 6. 23. 7. 24. 8.

More information

Loops and Switches Pre-Quiz

Loops and Switches Pre-Quiz Loops and Switches Loops and Switches Pre-Quiz 1. What kind of blocks are these? 2. Name two kinds of controls that can be specified to determine how long a loop repeats. 3. Give an example of a program

More information

9. a. 11. A = 30 cm 2, P = 30 cm. 12. A = 29 cm 2, P = 13. A = 72 in. 2, P = 35 in.

9. a. 11. A = 30 cm 2, P = 30 cm. 12. A = 29 cm 2, P = 13. A = 72 in. 2, P = 35 in. Answers Applications. Area = 20 cm 2 (base = 5 cm, height = cm), perimeter = 20 cm (Each side is 5 cm.) 2. Area = 9 cm 2 (base = 3 cm, height = 3 cm), perimeter 2. cm (The side lengths are 3 cm and ~ 3.2

More information

Constructing Tessellations Using Translations and Refl ections

Constructing Tessellations Using Translations and Refl ections Constructing Tessellations Using Translations and Refl ections Focus on After this lesson, you will be able to... identify how translations and reflections can be used to create a tessellation create tessellating

More information

Login Open Examples View Save Print Export. Room Wall Wall colour Door Floor Floor colour. System colour

Login Open Examples View Save Print Export. Room Wall Wall colour Door Floor Floor colour. System colour Configurator 1 3 4 Start General operation www.systemmoebel-plus.com/en/configurator The Configurator for System M is a planning program which can be accessed on our website. It is suitable for desktop

More information

Middle School Geometry. Session 3

Middle School Geometry. Session 3 Middle School Geometry Session 3 Topic Transformational Geometry: Tessellations Activity Name Sums of the Measures of Angles of Triangles Do Congruent Triangles Tessellate? Do Congruent Quadrilaterals

More information

Chapter 9 Animation System

Chapter 9 Animation System Chapter 9 Animation System 9.1 Types of Character Animation Cel Animation Cel animation is a specific type of traditional animation. A cel is a transparent sheet of plastic on which images can be painted

More information

Loops and Switches Pre-Quiz

Loops and Switches Pre-Quiz Loops and Switches Loops and Switches Pre-Quiz 1. What kind of blocks are these? 2. Name two kinds of controls that can be specified to determine how long a loop repeats. 3. Give an example of a program

More information

Swarm of Bees. See a preview animation of the effect to get an idea about what we are creating here:

Swarm of Bees. See a preview animation of the effect to get an idea about what we are creating here: Swarm of Bees In this tutorial we are going to use particle flow to create a swarm of flight gifted insectoids swarming towards and around a target. Same as our Ants tutorial, we can use an instance of

More information

How can the body make sound bend?

How can the body make sound bend? HPP Activity 54v2 How can the body make sound bend? Exploration To this point, you ve seen or heard waves bounce off of and pass through interfaces. But what happens if a sound wave strikes an interface

More information

SYSTEM WORLD PRODUCT INFO

SYSTEM WORLD PRODUCT INFO SYSTEM WORLD PRODUCT INFO August 208 System case.. System Case Configuration.. Width x depth x height (inches).56 x 0.62 x 3.3 inches Number of System Boxes Material Lid Type Art. No. Empty* ABS Black

More information

Pattern tessellates the plane Template with modifications turned in Appearance and Neatness Creativity/Originality/Difficulty

Pattern tessellates the plane Template with modifications turned in Appearance and Neatness Creativity/Originality/Difficulty Name: Date: Hour: A tessellation is a repeated polygon and/or combinations of polygons on a two dimensional plane. Each tessellated tile fits perfectly next to its adjacent twin. A true tessellation could

More information

Case Study: The Pixar Story. By Connor Molde Comptuer Games & Interactive Media Year 1

Case Study: The Pixar Story. By Connor Molde Comptuer Games & Interactive Media Year 1 Case Study: The Pixar Story By Connor Molde Comptuer Games & Interactive Media Year 1 Contents Section One: Introduction Page 1 Section Two: About Pixar Page 2 Section Three: Drawing Page 3 Section Four:

More information

Nearing Convergence: An Interactive Set Design for Dance The Intersection of Physical Movement and Optical Form

Nearing Convergence: An Interactive Set Design for Dance The Intersection of Physical Movement and Optical Form BRIDGES Mathematical Connections in Art, Music, and Science Nearing Convergence: An Interactive Set Design for Dance The Intersection of Physical Movement and Optical Form Benigna Chill a Department of

More information

Ideas beyond Number. Teacher s guide to Activity worksheets

Ideas beyond Number. Teacher s guide to Activity worksheets Ideas beyond Number Teacher s guide to Activity worksheets Intended outcomes: Students will: extend their knowledge of geometrical objects, both 2D and 3D develop their skills in geometrical reasoning

More information

5.2 Any Way You Spin It

5.2 Any Way You Spin It SECONDARY MATH III // MODULE 5 MODELING WITH GEOMETRY 5.2 Perhaps you have used a pottery wheel or a wood lathe. (A lathe is a machine that is used to shape a piece of wood by rotating it rapidly on its

More information

OPEN TEXT BASED ASSESSMENT

OPEN TEXT BASED ASSESSMENT Theme 2 OPEN TEXT BASED ASSESSMENT 2016-17 Mathematics (041) Class - IX Theme 2: 'Quadrilaterals in Architecture, WAH TAJ! Learning objectives The learner shall be able to Recognize different types of

More information

Chapter 19- Object Physics

Chapter 19- Object Physics Chapter 19- Object Physics Flowing water, fabric, things falling, and even a bouncing ball can be difficult to animate realistically using techniques we have already discussed. This is where Blender's

More information

THE ANALYTIC AND NUMERICAL DEFINITION OF THE GEOMETRY OF THE BRITISH MUSEUM GREAT COURT ROOF

THE ANALYTIC AND NUMERICAL DEFINITION OF THE GEOMETRY OF THE BRITISH MUSEUM GREAT COURT ROOF Williams, C.J.K. 2001 The analytic and numerical definition of the geometry of the British Museum Great THE ANALYTIC AND NUMERICAL DEFINITION OF THE GEOMETRY OF THE BRITISH MUSEUM GREAT COURT ROOF Chris

More information

Adem O Byrne. - EVDS Graphics 2 - Winter Adem O Byrne-

Adem O Byrne. - EVDS Graphics 2 - Winter Adem O Byrne- Adem O Byrne Weekly Rendering 1 Weekly Rendering 3 Weekly Rendering 2 Weekly Rendering 4 Weekly Rendering 5 Weekly Rendering 7 Weekly Rendering 6 Weekly Rendering 8 Weekly Rendering 9 Weekly Rendering

More information

Project Rendering & Plan Set Development

Project Rendering & Plan Set Development Project Rendering & Plan Set Development The following lab has been developed for CCE 203, and covers items relative to the course requirements. For additional information, training, and tutorials visit

More information

Distance in Coordinate Geometry

Distance in Coordinate Geometry Page 1 of 6 L E S S O N 9.5 We talk too much; we should talk less and draw more. Distance in Coordinate Geometry Viki is standing on the corner of Seventh Street and 8th Avenue, and her brother Scott is

More information

Vector Operations in Grasshopper

Vector Operations in Grasshopper AALBORG UNIVERSITY BSc02 2017 Matematik: Struktur og form Module coordinator: Prof. Martin RAUSSEN Vector Operations in Grasshopper Lecturer: Dario PARIGI Associate Professor Department of Civil Engineering

More information

Building Information ModelingChapter1:

Building Information ModelingChapter1: Chapter 1 Building Information ModelingChapter1: Building information modeling (BIM) is an integrated workflow built on coordinated, reliable information about a project from design through construction

More information

Quadratic Functions CHAPTER. 1.1 Lots and Projectiles Introduction to Quadratic Functions p. 31

Quadratic Functions CHAPTER. 1.1 Lots and Projectiles Introduction to Quadratic Functions p. 31 CHAPTER Quadratic Functions Arches are used to support the weight of walls and ceilings in buildings. Arches were first used in architecture by the Mesopotamians over 4000 years ago. Later, the Romans

More information

ARCHITECTURE & GAMES. A is for Architect Simple Mass Modeling FORM & SPACE. Industry Careers Framework. Applied. Getting Started.

ARCHITECTURE & GAMES. A is for Architect Simple Mass Modeling FORM & SPACE. Industry Careers Framework. Applied. Getting Started. A is for Architect Simple Mass Modeling One of the first introductions to form and space usually comes at a very early age. As an infant, you might have played with building blocks to help hone your motor

More information

3-3. When Kenji spun the flag shown at right very quickly about its pole, he noticed that a threedimensional

3-3. When Kenji spun the flag shown at right very quickly about its pole, he noticed that a threedimensional Sec 3.1.1 Reflections & 3.1.2 Rotations and Translations Visualizing, the act of picturing something in your mind, is also helpful when working with shapes. In order to investigate and describe a geometric

More information

Walls and Windows. Here is a useful link to explore for later -- AutoCAD drawing tutorials:

Walls and Windows. Here is a useful link to explore for later -- AutoCAD drawing tutorials: Walls and Windows Eventually we will import your CAD drawings and you will need well-constructed files which we will then use extrude, loft, and sweep, etc., in Max. Here is a useful link to explore for

More information

Assessment for learning activity. Stage 4 or 5 (linked to the Mathematics and steel rolling unit) Activity name: Mathematics and steel rolling

Assessment for learning activity. Stage 4 or 5 (linked to the Mathematics and steel rolling unit) Activity name: Mathematics and steel rolling Assessment for learning activity Stage 4 or 5 (linked to the Mathematics and steel rolling unit) Activity name: Mathematics and steel rolling Context This assessment activity is embedded in the Stage 4

More information

POLYGONS

POLYGONS POLYGONS 8.1.1 8.1.5 After studying triangles and quadrilaterals, the students now extend their knowledge to all polygons. A polygon is a closed, two-dimensional figure made of three or more non-intersecting

More information

Learning Task: Exploring Reflections and Rotations

Learning Task: Exploring Reflections and Rotations Learning Task: Exploring Reflections and Rotations Name Date Mathematical Goals Develop and demonstrate an understanding of reflections and rotations of figures in general and on a coordinate plane. Essential

More information

Foundations of Math II Unit 2: Transformations in the Coordinate Plane

Foundations of Math II Unit 2: Transformations in the Coordinate Plane Foundations of Math II Unit 2: Transformations in the Coordinate Plane Academics High School Mathematics 2.1 Warm Up 1. Draw the image of stick-man m when translated using arrow p. What motion will take

More information

Autodesk Inventor : From Concept to Digital Prototype

Autodesk Inventor : From Concept to Digital Prototype Autodesk Inventor : From Concept to Digital Prototype Bryan Fields Advanced Solutions, Inc. MA305-5 Using the tools available in Autodesk Inventor, this session will look at the progression from concept

More information

UNIVERSITY OF NEBRASKA OMAHA, BAXTER ARENA Omaha, Nebraska, USA

UNIVERSITY OF NEBRASKA OMAHA, BAXTER ARENA Omaha, Nebraska, USA UNIVERSITY OF NEBRASKA OMAHA, BAXTER ARENA Omaha, Nebraska, USA As the University of Nebraska Omaha s (UNO) main building for large events, the new Baxter Arena is a physical representation of UNO s athletic

More information

Number of sides Name of polygon Least number of Interior angle sum 3 Triangle

Number of sides Name of polygon Least number of Interior angle sum 3 Triangle Name: Period: 6.1 Polygon Sum Polygon: a closed plane figure formed by three or more segments that intersect only at their endpoints. Are these polygons? If so, classify it by the number of sides. 1) 2)

More information

The following learning resources are pre-requisites to help prepare you in supporting your students through this course.

The following learning resources are pre-requisites to help prepare you in supporting your students through this course. Introduction to CAD: From 2D to 3D Modeling Instructor Guide This instructor guide is a comprehensive tool for facilitating this course in the classroom. Prepare to teach this course by thoroughly reviewing

More information

Surface Area and Volume of Solids

Surface Area and Volume of Solids Surface Area and Volume of Solids? MODULE 5 LESSON 5. ESSENTIAL QUESTION Nets and Surface Area How can a model help you to solve surface area and volume problems? 6.G. LESSON 5. Volume of Rectangular Prisms

More information

CS5245: Vision & Graphics for Special Effects. Project Update 1 AY 2009/2010 Semester II. Team Members:

CS5245: Vision & Graphics for Special Effects. Project Update 1 AY 2009/2010 Semester II. Team Members: CS5245: Vision & Graphics for Special Effects Project Update 1 AY 2009/2010 Semester II Team Members: Chia Susan Ong Soo Yin Tay HT072158E HT072178B HT072181U Table of Contents 1 Title of Effect Video...1

More information

Objective: Construct perpendicular line segments on a rectangular grid.

Objective: Construct perpendicular line segments on a rectangular grid. NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 15 5 6 Lesson 15 Objective: Construct perpendicular line segments on a rectangular grid. Suggested Lesson Structure Fluency Practice Concept Development Student

More information

This lesson combines vertical translations and dilations in several quadratic and inverse variation modeling applications.

This lesson combines vertical translations and dilations in several quadratic and inverse variation modeling applications. Learning Objectives Combined Vertical Transformations Algebra ; Pre-Calculus Time required: 90 min. This lesson combines vertical translations and dilations in several quadratic and inverse variation modeling

More information

CSE 334 Research Paper. Name: Gene Chan. Date: Title: Constructing a physical figure into a 3d computer model.

CSE 334 Research Paper. Name: Gene Chan. Date: Title: Constructing a physical figure into a 3d computer model. CSE 334 Research Paper Name: Gene Chan Date: 11-29-2004 Title: Constructing a physical figure into a 3d computer model. Overview: Recreating a realistic 3d model from an existing real world object can

More information

15.2 Draw Quadrilaterals

15.2 Draw Quadrilaterals ? Name 15.2 Draw Quadrilaterals Essential Question How can you draw quadrilaterals? Geometry and Measurement 3.6.B Also 3.6.A MATHEMATICAL PROCESSES 3.1.D, 3.1.G Unlock the Problem Connect You have learned

More information

Geometro: Developing Concepts for Math, Science and O&M with Students who are Visually Impaired October 5, 2012

Geometro: Developing Concepts for Math, Science and O&M with Students who are Visually Impaired October 5, 2012 Texas School for the Blind and Visually Impaired Outreach Programs www.tsbvi.edu 512-454-8631 1100 W. 45 th St. Austin, Texas 78756 Geometro: Developing Concepts for Math, Science and O&M with Students

More information

Methods for integrating parametric design with building performance analysis

Methods for integrating parametric design with building performance analysis Methods for integrating parametric design with building performance analysis Ajla Aksamija, PhD, LEED AP BD+C, CDT 1 1 University of Massachusetts Amherst, Amherst, MA ABSTRACT: This paper discusses methods

More information

BSc Computing Year 3 Graphics Programming 3D Maze Room Assignment Two. by Richard M. Mann:

BSc Computing Year 3 Graphics Programming 3D Maze Room Assignment Two. by Richard M. Mann: BSc Computing Year 3 Graphics Programming 3D Maze Room Assignment Two by Richard M. Mann: 20032144 April 2003 Table of Contents 1 INTRODUCTION...4 2 ANALYSIS & DESIGN...5 2.1 ROOM DESIGN... 5 2.1.1 Dimensions...5

More information

Revit Architecture Syllabus Total duration: 80 hours (Theory 40 Hours + Lab 40 Hours)

Revit Architecture Syllabus Total duration: 80 hours (Theory 40 Hours + Lab 40 Hours) Faculty Start Date End Date No of Students Revit Architecture Syllabus Total duration: 80 hours (Theory 40 Hours + Lab 40 Hours) Introduction About BIM Introduction to Autodesk Revit Architecture Revit

More information

II. Functions. 61. Find a way to graph the line from the problem 59 on your calculator. Sketch the calculator graph here, including the window values:

II. Functions. 61. Find a way to graph the line from the problem 59 on your calculator. Sketch the calculator graph here, including the window values: II Functions Week 4 Functions: graphs, tables and formulas Problem of the Week: The Farmer s Fence A field bounded on one side by a river is to be fenced on three sides so as to form a rectangular enclosure

More information

2D Shapes, Scaling, and Tessellations

2D Shapes, Scaling, and Tessellations 2D Shapes, Scaling, and Tessellations Name(s): Sarah Hunter Title of lesson: How do different shapes fit together? Date of lesson: Week 2, Day 5 Length of lesson: 50 Minutes (1 Class Period) Description

More information

Objective 4.5 Objects in the real world can be modeled using geometric concepts

Objective 4.5 Objects in the real world can be modeled using geometric concepts Objective 4.5 Objects in the real world can be modeled using geometric concepts Essential Question 1 How are mathematical objects different from the physical objects they model? Describe the differences

More information