What is a Tessellation? A tessellation is a pattern of repeating figures that fit together with NO...

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 geometric transformations.

Examples of Tessellations

How to Make a Tessellation1. Start by drawing & cutting out a polygon (a 2” x 2” square works well) from a file folder, cereal box, or poster board.

2. From this polygon, make a template that will tessellate by performing at least one of the following transformations (described in the upcoming slides of this PowerPoint):– Translation– Glide Reflection (translation with reflection)– Rotation– Mid-point Rotation

3.Trace the template many times onto an 8.5” x 11” sheet of copy paper by rotating the template until your tessellation is complete with no overlapping or empty spaces.

4.Color neatly with vibrant colors. Do not leave any white space.

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.

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.

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

Depending how you decide to

color your tessellation, a

very simple design can have a very

creative result.

Watch this video to see an example of how to create your

own tessellation:

http://www.youtube.com/watch?v=Lc4LGZwlcvs&list=WL5358F76C6A0EA557&index=7&feature=plpp_video

What is a Tessellation? A tessellation is a pattern of repeating figures that fit together with NO...

Documents

Tessellationspeople.math.umass.edu/~jli/talks/tessellations.pdfA tessellation covers the entire plane (in nite). No gaps and no overlaps! Jennifer Li and Maggie Smith Tessellations

EDGE TESSELLATIONS AND THE STAMP FOLDINGsites.millersville.edu/rumble/published-papers/KirbyUmble-4-15-2010.pdfApr 15, 2010 · A tessellation (or tiling) of the plane is a collection

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

tessellation - web.engr.oregonstate.eduweb.engr.oregonstate.edu/~mjb/cs557/Handouts/tessellation.1pp.pdf · What built-in patterns can the Tessellation shaders produce? ... The Tessellation

CENTROIDAL VORONOI TESSELLATIONS...CENTROIDAL VORONOI TESSELLATIONS JARED BURNS Abstract. The oronoiV diagram and centroidal oronoiV tessellation (CVT) are de ned and their properties

Tessellations Alexander Alvarez. A tessellation is a repeating pattern of figures that completely covers a plane without gaps or overlaps. A tessellation

TESSELLATIONS A Tessellation (or Tiling) is a repeating pattern of figures that covers a plane without any gaps or overlaps

Random Tessellation Forests - SFU.calloyde/Ge2019a-talk.pdfBinary space partitioning forests (Fan et al. 2019) Stable iterated tessellations (Nagel and Weiss. 2005) Mondrian forests

A Plane Linkage and Its Tessellation for Deployable Structure · Huffman's tessellations [18] and PCCP shells [19], are tessellations of basic unit patterns [20]. Inspired by the

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

Tessellations. M. C. Escher 1. This initial hexagon shape can generate the entire tessellation through a series of translations. Visualize

Tessellations - California State University, ChicoTessellations Tessellation Shapes Regular tessellations Regular tessellations are tile patterns made up of one single shape placed

Coxeter s tessellation - GitHub Pages · Coxeter’s tessellation Coxeter’s tessellation Min Eun Gi :

Tessellations - Mrs. Wingard's Websitemelaniewingard.weebly.com/uploads/3/7/5/5/37554047/... · Tessellations A tessellation is a repeating pattern of polygons that covers a plane

M. C. Escher & Tessellation Creations Grade 5. What is a Tessellation? Definition: a repeating shape that covers a surface without overlapping or leaving

Reconstructing David Huffman’s Origami Tessellations · An origami tessellation is a folding design where both the crease pattern and the folded state use repeated ele-ments to

TESSELLATIONS & M. C. Escher · Escher's drawing of Alhambra tiling. M. C. Escher ... Metamorphosis I, 1937 by M. C. Escher Realism & Tessellation Combined . Cycle, 1938 by M. C

A geometrical introduction to Origami - Uniandesmatematicas.uniandes.edu.co/.../Presentation-Diaz-origami.pdf · Three kinds of origami: Tessellations “A tessellation of a flat

30'1 Tessellation - E-thaksalawa · A tessellation created using only one regular polygonal shape is known as a regular tessellation. Tessellations created using two or more regular

Self-Folding Textiles through Manipulation of Knit Stitch ......origami tessellation patterns [20] (Figure 2). Tessellations are repeated geometric tiling patterns. Using these geometrical