tessellations a tessellation is the tiling of a plane using one or more geometric shapes. an...

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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 gaps or overlapping shapes. Any idea what a plane is? What geometric shapes do you know? In maths a plane refers to a flat surface. Examples of geometric shapes are squares, hexagons and triangles.

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Page 1: 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

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 gaps or

overlapping shapes.

Any idea what a plane is?What geometric shapes do you know?

In maths a plane refers to a flat surface. Examples of geometric shapes are

squares, hexagons and triangles.

Page 2: 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

M. C. Escher (1898–1972) was a Dutch graphic artist who was inspired by

mathematics to create designs using tessellations.

Notice how this “lizard” shape is used in the picture. It is repeated

throughout the design on the piece of paper, leaving no gaps between the

lizards.

Page 3: 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

These are just a few of the tessellations Escher produced…

Page 4: 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

Which of these shapes do you think would tessellate? (In order to tessellate the shapes must fit together without

overlapping and without leaving gaps between them.)

Triangle SquareRectangl

e

Trapezium

Regular pentago

n

Regular hexagon

Regular octagon

Parallelogram

Page 5: 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

They all tessellate apart from the regular pentagon and regular octagon.

Daniel McNeil April 3, 2007 Math 371. What is a tiling? A tiling, or tessellation, refers to a collection of figures that cover a plane with no gaps and

CONSTRUCTION OF CENTROIDAL VORONOI TESSELLATIONS …...The tessellation with which we will be most concerned in the course of this project is a two-point tessellation of a square with

A geometrical introduction to Origami · Three kinds of origami: Tessellations “A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called

Generalized Voronoi Tessellation as a Model of Two ...dynamics, evolving multicellular tissue was represented by Voronoi tessellations [18]. In particular, growth instabilities, blastula

A Flexible Planar Tessellation with a Flexion Tiling a ... · PDF fileA Flexible Planar Tessellation with a Flexion Tiling a Cylinder of Revolution ... cylinder tiling, rigid origami

Tessellations… - SUNY Fredonia Methods Fall …methods2009.weebly.com/.../tessellations_lp_final.doc · Web viewis a symmetric tessellation made up of congruent regular polygons

Tiling and tessellations

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

Warm Up. Aim# 9-7: How do we identify transformations in tessellations, and figures that will tessellate? A tessellation or tiling, is a repeating pattern

TESSELLATIONSTESSELLATIONS. cDefinition c cA tessellation is a tiling of a plane with a shape or shapes without creating any gaps or overlaps

Tessellations!!!!! A tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping and no gaps

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

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

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

Tessellation Examples. History of Tessellations Started in Mesopotamia more than 6000 years ago Original designs were made from pebbles set in plaster,

This Exploration of Tessellations will guide you through the following: Exploring Tessellations Definition of Tessellation Semi-Regular Tessellations

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

What is a Tessellation? A tessellation is a pattern of repeating figures that fit together with NO overlapping or empty spaces. Tessellations are formed

Tessellations. What is a Tessellation? The word “tessera” in latin means a small stone cube. They were used to make up “tessellata” - the mosaic pictures

What is a tessellation?Rotation Tessellation For rotation tessellations, the adjacent sides of the polygon must be congruent. Squares, equilateral triangles, regular hexagons, and

CEMC at Home Grade 4/5/6 - Friday, April 3, 2020 Dotty ... · 4/3/2020 · Dotty Tessellations A tessellation (or tiling) is an arrangement of one or more shapes in a repeated pattern

Tessellations Geometry, Patterns and Art. What is a Tessellation? Write down everything that comes to your mind when you think of the word tessellation

TESSELLATIONS Tessellation: Tiling a planecs6710/slides/Tessellationsx2.pdf · 9/23/11 1 TESSELLATIONS Tessellation: Tiling a plane Filling a plane with a shape or image – no gaps

Tessellations: Friezes & Wallpaperscampbell/MEPP/Tessellations/... · A Tessellation (or tiling) is a pattern made by copies of one or more shapes, fitting together without gaps

MODULAR ARCHITECTURAL GROUPINGS FROM ESCHER …papers.cumincad.org/data/works/att/0b90.content.pdf · A tiling or plane tessellation is any arrangement of polygons fitting together

Lesson 10-4: Tessellation 1 Tessellations Lesson 10-4 Images from ygons/regular.1.html

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

TEACHING SEQUENCE ABOUT TESSELLATION Première - …Teaching Sequence about Tessellation Overall Organization 1ère ou Term euro 5 to 6 hours Keywords: Tiling; tessellation; regular

A tessellation or a tiling is a way to cover a floor with shapes so that there is no overlapping or gaps. Tessellation Remember the last jigsaw puzzle

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

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

Tessellations - my.eng.utah.educs6710/slides/Tessellationsx6.pdf9/23/11 1 TESSELLATIONS Tessellation: Tiling a plane Filling a plane with a shape or image – no gaps From Latin “tessella”

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

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

Tessellations This is a Roman inlaid marble tiling pattern For more see