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Published byReilly Steward
Modified over 2 years ago
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 of Rectangles
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
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)
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