This Project involves the completion of 2 different but related assignments.
Both projects are due on Tuesday, December 13, 2011 at the beginning of class.
From Wikipedia, the free encyclopedia:
A tessellation or tiling of the plane is a collection of plane figures that fill the plane with
no overlaps and no gaps.
Tessellation Project #1 (5 points)
Deliverable: A researched presentation on tessellations using the following
questions as the basis for your information quest. Each question below must be
answered in your presentation.
1. You may use any electronic tool to create your presentation. If the presentation is not in
Microsoft Word or Microsoft PowerPoint, please provide a printed copy of the
2. Compare and contrast three or more different types of tessellations.
3. Explain why symmetry is important in tessellations and how different types of symmetry
are used to create tessellations.
4. Find three or more examples of tessellation in the world. Include pictures of them in your
presentation along with a description of why the tessellation is especially captivating to
5. What was M.C. Escher’s contribution to the world of tessellations? Was Escher an artist or
a mathematician? Justify your answer.
6. Be prepared to present your presentation.
Tessellation Project #2 (5 points)
Deliverable: A hand-drawn or computer generated tessellation design.
1. The completed wallpaper design (repetitive designs on two-dimensional surfaces) on
8.5” by 11”. The paper can be on an unlined paper, including colored paper.
2. The design should rotate or reflect AND translate (must include a translation).
3. Design should use color as part of the pattern.
4. Design should be neat.
5. Design should cover the entire page without overlapping or have gaps.
6. Additional rules for submission to the World of Escher Contest can be found at:
http://www.worldofescher.com/contest/. The grade for Tessellation Project #2 will be
based on the first five criteria above.
Rubric for Tessellation Project #1 – Presentation – 5 points
Presentation POOR FAIR GOOD EXCELLENT
Answers to Answered 1 of 4 completely Answered 2 of 4 completely Answered 3 of 4 completely Answered 4 of 4 completely
Types of Briefly described one Briefly described two tessellations or Briefly described three tessellations Completely described three
Tessellations tessellation. described one tessellation or described two tessellation tessellations identifying the polygon
identifying the polygon and identifying the polygon and and transformation used to create
(1 point) transformation used to create the transformation used to create the the pattern in all three.
Symmetry Briefly described symmetry in Briefly described different types of Briefly described different types of Completely described different types
(1 point) tessellations. symmetry in tessellations. symmetry in tessellations and how of symmetry in tessellations and
they are used to create tessellations. how they are used to create
Tessellations in Briefly described one Briefly described two tessellations in Briefly described three tessellations Completely described three
the world tessellation in the world. the world. Included pictures in the in the world and the tessellations in the world and the
presentation. transformation(s) used to create the transformation(s) used to create the
(1 point) pattern. Included pictures in the pattern. Included pictures in the
M.C. Escher’s Briefly described one of Described one of Escher’s works Described two of Escher’s works, Completely described two of
Works Escher’s works. using tessellation and one briefly, using tessellation and Escher’s works using tessellation
transformation terminology. transformation terminology. and transformation terminology.
Neatness Just there Typed, neat Presentation flows well and is Presentation is of professional
(1 point) clear and concise quality
Rubric for Tessellation Project #2 – Design/Tessellation – 5 points
Design POOR FAIR GOOD EXCELLENT
Transformations Design uses one Design uses two transformations. Design uses two transformations Design uses at least two
Used transformation. with a mostly consistent use of transformations with a consistent
clearly identified subject(s). use of clearly identified subject(s).
Tessellation Tessellation created covers Tessellation created covers part of Tessellation created covers entire Tessellation created covers entire
Design part of the page. the page and uses color as part of page, uses color as part of the page, consistent color as part of the
the pattern. pattern and the pattern mostly does pattern and the pattern does not
(2 point) not overlap or have gaps. overlap or have gaps and has a
M.C. Escher-like feel to the design.
Neatness On 8.5” by 11” paper, just On 8.5” by 11” paper, a work On 8.5” by 11” paper, a work On 8.5” by 11” paper, a work
(1 point) there. of art your grandma would be of art your mom would be of art that Escher would be
proud of. proud of. proud of.