PPT-7.4 Regular Polygons

Learner Objective Students will recognize regular polygons and will use the formula for finding 
the measure of the exterior angle of an equiangular polygon to solve problems Learner Objective Students will recognize regular polygons and will use the formula for finding 
the measure of the exterior angle of an equiangular polygon to solve problems. In rendering complex 3D images it has to be done several thousand times Ef64257cient algorithms are therefore very important We present such an ef64257cient algorithm for clipping arbitrary 2D polygons The algorithm can handle arbitrary closed polyg By. : . Team Math. tables found on wikepedia under polygons. Resource Page. Polygon names. . Name. Sides. triangle. (or trigon). 3. quadrilateral. (or tetragon). 4. pentagon. 5. hexagon. 6. heptagon. . Tiling. CSE 788. Prof. Roger Crawfis. Seamless Tiling. Seamless Tiling. Where is the seam?. http://homepages.rpi.edu/~mcdanm2/RPI_MediaStudioImaging/MSI_Lecture4_Graffiti.html. Rotations and Edges. for Polygonal Meshes. Δ. Marc Alexa Max . Wardetzky. TU Berlin U . Göttingen. . Laplace Operators. Continuous. Symmetric, PSD, linearly precise, maximum principle. Discrete (weak form). Becca Stockford Lehman. Tessellations. Tessellate: to form or arrange small squares or blocks in a checkered or mosaic pattern . Comes from the Latin word tessella which refers to the small square pieces used in mosaics . Compare and . classify other polygons.. Multiply by . 5. 5. . x . 5 . = _____. Let’s skip-count up by . FIVES. . to find the answer.. Hold up . a finger for each . five.. 5. 10. 15. 20. 25. 25. 3. I can identify different types of polygons.. I can tell the properties of each type of polygon.. I can categorize quadrilaterals based on their properties.. Polygon Review. SRB 142. Notes and Definitions. Warm Up. 1.. . If . ∆. QRS.  . ∆. ZYX. , identify the pairs of congruent angles and the pairs of congruent sides.. Solve each proportion.. 2.. . 3.. . . x . = 9. x . = 18. . Q. Geometric Reasoning. Dr J Frost (jfrost@tiffin.kingston.sch.uk) . Last modified: 12. th. April 2014. Objectives: . Be able to reason about sides and angles, and find interior/exterior angles of polygons.. Csaba. . Tóth. , . Godfried. Toussaint, and . Andrew Winslow. Klee’s Art Gallery Problem. Victor Klee (1973): How many guards . are needed to see the entire floor plan?. Consider the floor plan of an art gallery, and point. POD: . What is the measure of each interior angle of each regular polygon?. Equilateral triangle. Pentagon. Hexagon. Octagon. Tessellations. Tessellation – . A collection of figures that cover a plane with NO OVERLAPS.. What shapes can tile the plane?. In other words, shape can you put next to itself and NOT have any gaps?. Circles?. Octagons?. Hexagons?. Triangles?. Regular Tessellations. When the shape used to tile the plane are the same regular polygons the tessellation is called regular. These are the only regular tessellations.. Nadav. . Dym. , Anna . Shtengel. and . Yaron. . Lipman. Weizmann Institute of Science. Morphing of planar . curves. . Classifying Polygons. Students . will be able . to:. Identify the 2-dimensional shapes based on their properties.. Key Vocabulary. Polygons. Triangles. Quadrilaterals. Pentagons and Hexagons. Other Polygons.