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Tessellations……… Creating Tiles that Tessellate. Translating Tiles Start with a square. Cut into a corner and cut out at the opposite corner on the same.

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Presentation on theme: "Tessellations……… Creating Tiles that Tessellate. Translating Tiles Start with a square. Cut into a corner and cut out at the opposite corner on the same."— Presentation transcript:

1 Tessellations……… Creating Tiles that Tessellate

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

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

4 Translating Tiles 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. fit together

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

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

7 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.

8 Rotating Tiles with Reflection square Start with a 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

9 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

10 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. Rotating Tiles with Reflection

11 Translating Tiles with Reflection square Start with a 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

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

13 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. Trace your design, fitting it together multiple times. Be sure not to leave any gaps. Translating Tiles with Reflection

14 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

15 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

16 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.


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