what is a tessellation?rotation tessellation for rotation tessellations, the adjacent sides of the...
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What is a tessellation?
• A tessellation is a pattern of repeating figures that fit together with NO overlapping or empty spaces.
• Tessellations are formed using transformation.
• Transformations:
– Translation**
– Rotation**
– Reflection**
– Dilation
Examples of Tessellation Art
More examples of Tessellation Artists
• http://tessellations.org/index.htm
Project Directions
1. Start with a template piece – Must be a REGULAR polygon (squares work well)
2. Choose one of the following transformations – Translation – Glide Reflection (translation with reflection) – Rotation – Mid-point Rotation
3. Practice with template on computer paper. 4. Trace your final product on to white card stock (9x12). 5. Color and decorate 6. Mount onto construction paper
Translation Tessellation (EASY)
For simple translation tessellations, your starting polygon should have opposite sides that are parallel and congruent. Squares, hexagons, and parallelograms work best.
1.
Draw a design on one side of the square and slide it to opposite side.
Tape the cutout pieces to opposite sides. Slide (translation) the pattern when tracing.
Start with a square
2. 3. 4.
Draw another design on the adjacent side of the square and slide it to opposite side.
Translation Tessellation (HARD) You can create more complex designs starting with square
tessellations and making changes on both pairs of sides.
Depending how you decide to color your tessellation, a very simple design can have a very creative result.
Glide Reflection Tessellation
For glide reflection tessellations, your polygons should have opposite sides that are parallel and congruent. Squares, hexagons, and parallelograms work best.
*You can make this one more difficult by cutting out two pieces from different sides and doing a glide reflection for both.
Rotation Tessellation
For rotation tessellations, the adjacent sides of the polygon must be congruent. Squares, equilateral triangles, regular hexagons, and rhombi work best.
*You can make this one more difficult by cutting out two pieces from different sides and doing a rotation tessellation
for both.
Midpoint Rotation Tessellations
• Triangles, squares, and quadrilaterals work best for this type.
*You can make this one more difficult by cutting out two pieces from different sides and doing a mid-point rotation
for both.
Example: Rotational
Tessellation
Criteria Excellent Good Okay Not done
Degree of Difficulty
The difficulty and intricacy of the
template you made and the
difficulty of the type of
transformation you choose.
10 9 8
2 cut-outs
7 6 5 4
2 or 1 cut-outs
3 2 1
1cut-out 0
Complexity of Decoration
The detail, coloring and creativity
of your final product.
10 9 8 7 6 5 4 3 2 1 0
Appearance
Figured must be centered, no
stray marks showing, no blank
space, and final product should
be mounted on construction
paper.
10 9 8 7 6 5 4 3 2 1 0
Proper Transformation Used
A correct use of translation, glide
reflection, rotation or mid-point
rotation must be used.
10 9 8 7 6 5 4 3 2 1 0
Followed Directions
On the front of you final product
you must give your artwork a
title, your name and type of
tessellation.
10 9 8 7 6 5 4 3 2 1 0
Grade