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Billboard Clouds for Fabrication Vincent Nivoliers Sylvain Lefebvre ALICE / INRIA
Fabrication Laser cutting SketchChair
What about arbitrary shapes ? 123D, Autodesk
Minimizing matter Packing (very common problem) – Cost by square meter Cutting length – Cost by perimeter length Cost / quality trade-off ?
Meanwhile in the virtual space … Complex 3D shapes are expensive – Many triangles large storage – Many triangles slow display How to simplify?
Automatic selection of planes [Billboard Clouds, Decoret et.al.]
Approach overview Hough transform on planes Select maxima iteratively
Our idea Can we use a similar technique for fabrication? – How is this different ? – Simpler problem first ?
© T Madas. Every length has doubled The Scale Factor is 2 Object Image Scale factor is the number of times the lengths of the original shape have been.
10.4 Perimeters and Areas of Similar Figures. Perimeters and Areas of Similar Figures If the similarity ratio is, then: The ratio of the perimeters.
Area & Perimeter. SHAPE OVERVIEW Rectangle Triangle Hexagon Trapezoid Square Parallelogram Pentagon Circle.
Area & Perimeter Perimeter The distance around a shape – The sum of the lengths of all the sides in a shape – Measured in units of length i.e. Feet,
The distance around an enclosed shape is called the perimeter. The amount of space enclosed inside a shape is called the area.
Area & Perimeter An Introduction. AREA The amount of space inside a 2-dimensional object. Measured in square units cm 2, m 2, mm 2 Example: 1 cm 2 cm.
Vocabulary: Area— amount of space _________________________ a plane figure. Measured in ______________ units. Perimeter— __________________________________.
Transparency 5 Click the mouse button or press the Space Bar to display the answers.
1 Lesson Finding Complex Areas. 2 Lesson Finding Complex Areas California Standards: Algebra and Functions 3.1 Use variables in expressions.
Jeopardy Winning Price is 10 points of homework (equivalent to 1 homework card)
Perimeter Perimeter is the length of the boundary of the shape Perimeter of the blue shape = 22 cm Shape, Space and Measure 2 Perimeter of Rectangles CyberDesign.co.uk.
Geometry Vocabulary- transformation- the change in the size, shape, or position of a figure. translation- slide--every point in a figure moves the same.
Jeopardy Start Final Jeopardy Question Plane Figures Similar/ Congruent Space Figures Perimeter/ Area Figures
Objective: find the area of geometric figures and shaded regions. What area formulas must be memorized?
1 Perimeter To calculate the perimeter of any shape, just add up “ each ” line segment of the “ fence ”.
What questions could we ask about this tile?. What if… We put 2 together?
Chapter 2: Transformations Section 2.6: Perimeters and Areas of Similar Figures.
EXAMPLE 4 Find perimeters of similar figures Swimming A town is building a new swimming pool. An Olympic pool is rectangular with length 50 meters and.
5-6 Complex Numbers Part 1 Big Idea: Identify and graph complex numbers.
8.6 Perimeters and Areas of Similar Figures (1 card)
1.8: Perimeter, Circumference, and Area Part I. Today’s Objectives Solve for the perimeter or circumference of basic shapes Use the distance formula.
Perimeter How do we find the perimeter of a quadrilateral? Standards: M5P3, M5P4, and M5A1c.
Chapter 9 Geometry © 2008 Pearson Addison-Wesley. All rights reserved.
Perimeter, Area and Volume Presented by Bill Haining Functional Skills L1.
8.6:Perimeters and Areas of Similar Figures Objective: To find the perimeters and areas of similar figures.
BRAIN IN GEAR Work out the following Mathematical anagrams: TASK REAA REPRIMEET STUNI EXAMPLE DITDIONA can be rearranged to make ADDITION Area Perimeter.
Finding the Area of Polygons Vocabulary Perimeter – The sum of all sides of the shape. Area – The total occupied space of a shape in units squared.
Determine the perimeter of a complex shape Perimeter- the distance around a shape Obj. #45 Some common formulas for perimeter: Square- P=4s or P=s+s+s+s.
USING FORMULAS IN GEOMETRY Geometry CP1 (Holt 1-5)K. Santos.
Divide each side by 2. Write original equation. Write 3x + 2y = 8 so that y is a function of x. EXAMPLE 2 Rewrite an equation Subtract 3x from each side.
Distribute and Combine Like Terms Applications. What is the area of the following shape? 5 2x-3 1.
What is area? The amount of space that a figure encloses The number of square units that covers a shape or figure. It is two-dimensional It is always.
Area and Perimeter By: Julia Lopez. Perimeter of a Square The formula of a square to find the perimeter of a square is: S+S+S+S P= S+S+S+S P=
A pentomino is a plane geometric figure formed by joining five equal squares edge to edge. 12 Shapes of Pentominoes.
1 Lesson Volumes. 2 Lesson Volumes California Standards: Measurement and Geometry 2.1 Use formulas routinely for finding the perimeter and.
Perimeter is the distance around an object. If you started at one point and went all the way around until you got to where you started, the perimeter.
7-1C Areas and Perimeters of Similar Polygons What is the relationship between the perimeter ratios of similar figures and their similarity ratio? What.
Squares, Area, and Perimeter Test #7. Question 1 Area = 25cm 2 What is the perimeter?
Finding the Area of a Basic Figure Developing the Area formulae for Squares, Rectangles, Parallelograms, Triangles, and Trapezoids. Square Parallelogram.
Perimeter and Area Formulas. Perimeter is the distance around an object. It is easily the simplest formula. Simply add up all the sides of the shape,
Area of a Right Angled Triangle. 15cm How can we work it out? Draw a right angled triangle on squared paper (10 cm high, 15 cm wide) Make it into a rectangle.
Problem 3.1. The rangers in Great Smoky Mountains National Park want to build several inexpensive storm shelters. The shelters must have 24 square meters.
Changing Dimensions What’s the effect on Perimeter and Area??
Mensuration Objective Perimeter and area of shapes made from triangles and rectangles.
Quiz 1. Find the perimeter of the figure. 2. Find the area of the figure. 12 ft 4 ft5 ft 3. The perimeter of the triangle 4. The perimeter of the combined.
Space Trusses Space truss – 3D truss, where connections are made through ball and socket joints. Simplest shape for a space truss is a tetrahedral shape.
Who wants to be a Millionaire? Hosted by Mrs. Kuykendall.
Similar Figures: Scale Factor Ratio of Perimeters Ratio of Areas.
Perimeter & Area. Measurement Why do we measure objects? Name a household object that can be measured?
Area of Squares, Rectangles, Parallelograms, and Triangles.
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