Presentation on theme: "Student Support Services"— Presentation transcript:
1Student Support Services Tessellations and ArtStudent Support Services
2What is a Tessellation?It is a tiling of the plane is a collection of plane figures that fills the plane with no overlaps and no gaps
3Types of Tessellations Regular TessellationsSemi-regular Tessellations
4Regular Tessellations RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps.RULE #2: The tiles must be regular polygons - and all the same.RULE #3: Each vertex must look the same.There are only 2 polygons that will work for regular Tessellations and those are equilateral triangle, hexagon, and a square.
5Semi-regular Tessellation They are made using two or more different regular polygons.
6Tessellations and Math Tessellations use symmetry in Math.Symmetry means that at least one pattern is unchanged.There are four types of Symmetry in the plane.
7Types of symmetry in Math RotationsTranslationsReflectionsGlide reflections
8RotationTo rotate an object means to turn it around a point at a certain angle. This point is called the center of rotation.
9TranslationTo translate an object means to move it without rotating or reflecting it. Every translation has a direction and a distance.
10ReflectionTo reflect an object means to produce its mirror image. Every reflection has a mirror line. A reflection of an "R" is a backwards "R".
11Glide ReflectionA glide reflection combines a reflection with a translation along the direction of the mirror line. Glide reflections are the only type of symmetry that involve more than one step.
12A few uses of symmetry Patterns for shoe bottoms. Parking lot design. Design color pattern for neckties and t-shirts.Design wallpaper for interior decoration
13How is Tessellations used in Art? First, the artist will cut out a shape and then will decide what this particular shape looks like. For example, what does this look like?
14Tessellations and ArtThen the artist tessellated it.
15Tessellations and ArtHe thought it looked like a house so he colored it in like this:
16Tessellations and ArtHere is another example. What does this look like?
17Tessellations and ArtThis is what the artist saw and how he tessellated it.
18Tessellations and ArtYou can also take a shape, tessellate it and then color it in, like this:
19Tessellations and ArtNow it is your turn! We are going to be doing one like the previous one we just saw. Have fun!