Tessellations……… Creating Tiles that Tessellate.

Slides:

Advertisements

Similar presentations

TESSELLATIONS Oleh : Sulistyana SMP N 1 Wonosari.

Advertisements

You need a square piece of paper. Fold the paper in half then unfold. Fold the paper along the diagonal then unfold.Repeat with the second diagonal.

SYMMETRY IN TESSELLATIONS. TESSELLATIONS TESSELLATION A tessellation is a design made from copies of a basic design element that cover a surface.

TESSELLATIONS A tessellation is a special kind of design.

Procedural Content Tiling

Presentation by Melissa Hogg, Curr 383 E

Lines Identifying Different Types of Lines. LINES There are many different types of lines. Can you think of any? vertical horizontal diagonal perpendicular.

Symmetry Mirror lines 1.Line symmetry 2.Rotational symmetry Order of symmetry Line symmetry When an object is folded each half reflects on itself. Each.

Day and Night by M.C. Escher

What is a Tessellation? A tessellation is a pattern of repeating figures that fit together with NO overlapping or empty spaces. Tessellations are formed.

Can’t Wait to Tessellate! Mrs. Knowlton, Art Teacher Tara Elementary School Bradenton, Florida.

Section 12-5 Symmetry SPI 32D: determine whether the plane figure has been translated given a diagram and vice versa Objectives: Identify types of Symmetry.

Where’s the Math??.

Repeating Figures and Symmetries How can tessellations be made with repeating figures? What four types of symmetry do you look for in repeating figures?

Tessellations! A tessellation or tiling, is a repeating pattern of figures that completely covers a plane without gaps or overlaps. You can create tessellations.

Tessellations *Regular polygon: all sides are the same length (equilateral) and all angles have the same measure (equiangular)

Modular Origami Cube. Making a Cube You will need 6 squares of paper. You will need at least 3 different colors of squares (e.g., 2 red squares, 2 yellow.

G Stevenson What Are Tessellations? Basically, a tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping.

Tessellations A tessellation is the tiling of a plane using one or more geometric shapes. An important part of any tessellation is that there must be no.

Lesson 10-4: Tessellation

18.1 Congruence and Similarity p.394 Quick Review Quick Review Objective: to learn how to use translations, rotations, and reflections to transform geometric.

Vocabulary Translation: Moving a shape, without rotating or flipping it. "Sliding". The shape still looks exactly the same, just in a different place.

TESSELLATIONS What’s a tessellation? Tessellations are a series of repeating patterns or designs that interlock. The positive and negative space work.

Tessellation Day 2!!! Go ahead and do the SOL ?’s of the day that are on the board!

Directions for Explosion Box Print the following slides on cardstock. Cut all the squares on each piece of cardstock. Cut out the corners from all 3 sheets.

Tessellations. In nature and life, they appear often: Honeycombs... Mud flats... In games, like checkers..

Tessellations 1 G.10b Images from ygons/regular.1.html

Tessellations!!!!! A tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping and no gaps.

E12 Students will be expected to recognize, name, and represent figures that tessellate.

 Are patterns of shapes that fit together without any gaps  Way to tile a floor that goes on forever  Puzzles are irregular tessellations  Artists.

Lesson 10-4: Tessellation

Create Your Own Tessellation If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape.

Tessellation Project.

Making the Tangram.

Tessellation Project Supplies needed: 3 x 5 index card for every 2 students Scissors Ruler One sheet of white paper One sheet of construction paper Pencil.

What is a Tessellation? A tessellation is a pattern of repeating shapes that leave no spaces or overlaps in it pieces. Tessellations are made by reflecting.

Ch. 6 Geometry Lab 6-9b Tessellations Lab 6-9b Tessellations.

Create Your Own Tessellation If many copies of a shape can be used to cover a surface, without leaving any gaps between them, then we say that the shape.

G.5.C Use properties of transformations and their compositions to make connections between mathematics and the real world, such as tessellations.

Common Core Math 7, 8 Adv. May 6, 2016 Sauer

Tessellations Starting slide….

Tessellations M.C. Escher.

Geometry Origami - Angelfish

Exploring Tessellations

Mathematics and the Arts

Artist Portrait and Artwork

Tessellations Objective:

Tessellations A tessellation is made by reflecting, rotating or translating a shape. A shape will tessellate if it can be used to completely fill a space.

Lay two pieces of paper on top of each other. Fold paper “hotdog”.

Symmetry MATH 124.

Shape and One Point Perspective Project

Tessellations POD: What is the measure of each interior angle of each regular polygon? Equilateral triangle Pentagon Hexagon Octagon.

Worksheet Key Yes No 8) 7/13 9) 4 10) 1/3

Unit 1 Project Due Friday, September 21.

The Mathematical Art Of M.C. Escher

Symmetry and three-dimensional geometry

Chart the Parts.

Space and Shape.

The YELLOW Face Lesson 5: The Yellow Face Lesson 5.

Tessellations POD: What is the measure of each interior angle of each regular polygon? Equilateral triangle Pentagon Hexagon Octagon.

Lesson 10-4: Tessellation

Analyze What do you see here? How has the M.C. Escher artist used:

Tessellation Project.

Tessellation Project.

Tessellations of the Plane

9.7 Tesselations Brett Solberg AHS ’11-’12.

Presentation transcript:

Tessellations……… Creating Tiles that Tessellate

Translating Tiles Start with a square. cut one side Cut into a corner and cut out at the opposite corner on the same side. tape to opposite side Slide the cut out piece to the opposite side and tape together. Be sure to line up the corners.

a tessellating shape is formed Translating Tiles cut second plain side Cut into a corner on one of the remaining uncut sides, and cut out at the opposite corner on the same side. tape to opposite side Slide the second cut out piece to the opposite side and tape together. Be sure to line up the corners. a tessellating shape is formed You have created a design that translates horizontally and vertically.

Translating Tiles fit together Trace your design, fitting it together multiple times. Be sure not to leave any gaps. (No overlap; no white space.) fill in design Create a design that fits the shape of your tile. Fill in your tiles, repeating the design in each tile. Be sure to use different colors to make your tessellation interesting.

Rotating Tiles Start with a square. cut one side Cut into a corner and cut out at the opposite corner on the same side. tape to adjacent side Rotate the cut out piece to an adjacent side and tape together. Be sure to line up the corners.

a tessellating shape is formed Rotating Tiles cut second plain side Cut into a corner on of the remaining uncut sides, and cut out at the opposite corner on the same side. tape together Rotate the second cut out piece to an adjacent side and tape together. Be sure to line up the corners. a tessellating shape is formed You have created a design that rotates with a 90 degree angle of rotation.

Rotating Tiles Trace your design, fitting it together multiple times. Be sure not to leave any gaps. (No overlap; no white space.) Create a design that fits the shape of your tile. Fill in your tiles, repeating the design in each tile. Be sure to use different colors to make your tessellation interesting.

Rotating Tiles with Reflection Start with a square. square Fold diagonally. fold Cut into a corner and cut out at the opposite corner on the same side. Be sure to cut the same through both layers of the paper. cut

Rotating Tiles with Reflection Rotate to adjacent side.. Tape together. Be sure to line up corners. You have created a tessellating design with reflection that rotates.

Rotating Tiles with Reflection Trace your design, and rotate, fitting it together multiple times. Be sure not to leave any gaps. (No overlaps; no white space.) Create a design that fits the shape of your tile. Fill in your tiles, repeating the design in each tile. Be sure to use different colors to make your tessellation interesting.

Translating Tiles with Reflection Start with a square. square Fold diagonally. fold Cut into a corner and cut out at the opposite corner on the same side. Be sure to cut the same through both layers of the paper. cut

Translating Tiles with Reflection Slide the cut out piece to the opposite side and tape together. Be sure to line up the corners. Tape together. Be sure to line up corners. You have created a tessellating design with reflection that translates.

Translating Tiles with Reflection Trace your design, fitting it together multiple times. Be sure not to leave any gaps. Create a design that fits the shape of your tile. Fill in your tiles, repeating the design in each tile. Be sure to use different colors to make your tessellation interesting.

Translating Tiles with Rotation & Reflection Start with a square. Fold into fourths. Cut into a corner and cut out at the folded corner on the same side. Be sure to cut the same through all four layers of the paper.

Translating Tiles with Rotation & Reflection Unfold the paper and rotate cut out sections to adjacent sides. Tape together. Be sure to line up corners. You have created a tessellating design with reflection that rotates.

Translating Tiles with Rotation & Reflection Trace your design, and rotate, fitting it together multiple times. Be sure not to leave any gaps. Create a design that fits the shape of your tile. Fill in your tiles, repeating the design in each tile. Be sure to use different colors to make your tessellation interesting.