creating escher-type tessellations escher-type tessellations 4 [email protected]. step 4: use...

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Creating Escher-Type Tessellations By Terry Kawas http://www.mathwire.com Creating Escher-type Tessellations 1 [email protected]

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Page 1: Creating Escher-Type Tessellations Escher-type Tessellations 4 tkawas@mathwire.com. Step 4: Use Escher EyesStep 4: • Look at your shape from all angles. • Slide, flip and turn

Creating Escher-Type Tessellations

By Terry Kawas

http://www.mathwire.com

Creating Escher-type Tessellations 1 [email protected]

Page 2: Creating Escher-Type Tessellations Escher-type Tessellations 4 tkawas@mathwire.com. Step 4: Use Escher EyesStep 4: • Look at your shape from all angles. • Slide, flip and turn

Step 1: Step 1: Begin with a square• Cut a square from cardboard or cardstock.

• Draw a design at the top that only touches the side at beginning and end

• Do the same on one side.

Creating Escher-type Tessellations 2 [email protected]

Page 3: Creating Escher-Type Tessellations Escher-type Tessellations 4 tkawas@mathwire.com. Step 4: Use Escher EyesStep 4: • Look at your shape from all angles. • Slide, flip and turn

Step 2: Step 2: Top Translation (Slide)• Carefully cut out the top piece.

• Translate (slide) the top piece to the same position at the bottom of the square.

• Use tape to secure the pieces together.

Creating Escher-type Tessellations 3 [email protected]

Page 4: Creating Escher-Type Tessellations Escher-type Tessellations 4 tkawas@mathwire.com. Step 4: Use Escher EyesStep 4: • Look at your shape from all angles. • Slide, flip and turn

Step 3: Step 3: Side Translation (Slide)• Carefully cut out the side piece.

• Translate (slide) the side piece to the same position on the other side of the square.

• Use tape to secure the pieces together.

Creating Escher-type Tessellations 4 [email protected]

Page 5: Creating Escher-Type Tessellations Escher-type Tessellations 4 tkawas@mathwire.com. Step 4: Use Escher EyesStep 4: • Look at your shape from all angles. • Slide, flip and turn

Step 4: Step 4: Use Escher Eyes• Look at your shape from all angles.

• Slide, flip and turn your shape to view all possibilities.

SUGGESTION:

Place your shape on an overhead projector and move it all around to view possibilities.

Creating Escher-type Tessellations 5 [email protected]

Page 6: Creating Escher-Type Tessellations Escher-type Tessellations 4 tkawas@mathwire.com. Step 4: Use Escher EyesStep 4: • Look at your shape from all angles. • Slide, flip and turn

Step 5: Step 5: Replicate the Shape• Position the shape on the large paper according to the design you see within the shape.

• Use a pencil to trace around the shape.

• Carefully slide the shape so that the new position fits into the traced shape exactly.

• Trace the shape in its new position.

• Continue this process until the whole paper is tessellated.

• Draw in details and color.

• Name the tessellation and sign the original.

Creating Escher-type Tessellations 6 [email protected]