1. Tessellation Creator Free
2. Tessellation Online

• You can draw regular polygons using the polygon tool. Choose the number of sides, from 3 (Triangles) to 12 (Dodecagons). You may also need to adjust the angle to get the desired effect. You can make all kinds of interesting patterns! Have a look at the Tessellation page - there are lots of examples.
• Design a tessellation online (square grid) Design a tessellation online (square grid) Index- grids- squares - triangles - Escher-style - for teachers. Click on one of these colour blocks to choose a colour. Current colour: Tile: Click on the tile to colour in a square. This will be.

Software for Making Escher-Style Tessellation Art. Tessellations can be produced using any drawing package, even quite simple ones. In our 'Do it yourself' section we show how this can be done fairly easily. This is often more satisfying than using purpose built software and the results can be worth it and sometimes unexpected 8-). This page contains a description of SHODOR educational website's online tessellation software. This site (Tessellations.org, not Shodor) deals with tessellations from the artistic point of view. It contains do-it-yourself tutorials, history, software reviews, the basic geometry and math, and galleries of tessellation art.

Tessellations are geometric patterns that repeat without any breaks to form a larger design. While tessellations are studied in mathematics, artists and designers use them to create mosaics, tile patterns and other designs. In some tessellations the elements that make up the pattern do not repeat in the same orientation all the way across the design. Rotation is a common element of tessellations. As long as a shape or pattern has two adjacent sides that are congruent, a rotation tessellation can be produced.

Draw the shape of the original tessellation that you want to rotate. Basic geometric figures, like triangles or squares, are good shapes to deal with when you are first learning how to rotate.

Select the point that you want to rotate your figure around. The point can be a corner of the tessellation, anywhere along a side or at a point that is not a part of the tessellation.

Rotate the figure. This process will depend on how exactly your tessellation was made. If it was drawn on paper, for example, the artist can turn the page and redraw the figure. Tilers can reposition themselves and recreate the image in a new orientation.

Repeat the design as many times as necessary to make your way 360 degrees around the tessellation.

• If you are struggling with picturing the rotation, draw numbers in each of the corners and along the sides of the original image, then match the old corners up with the new corners on the rotation tessellation as you create it.

• Jupiterimages/Photos.com/Getty Images

This education project involves students creating tessellation patterns and printing those out as puzzle pieces. Developing math thinking involves looking for patterns. This activity is designed to encourage students to see patterns in the world around them. 3D printing is useful here because students understand concepts by manipulating physical objects through kinesthetic learning.

The sample files provided here is an example of the kind of puzzles students could create. These puzzles could be shared with other students to further reinforce the concepts of tessellating patterns.

Here are other examples I created:
http://www.thingiverse.com/thing:1470332

It also creates a nice piece of math art.

kendel3d created an awesome puzzle frame for this:
http://www.thingiverse.com/thing:2125154

Printer Brand:

Printer:

Rafts:

Supports:

No

Resolution:

Infill:

14

Notes:

Note: there is a set of multiple pieces designed for a rectangular build platform and one for a square arrangement. Select the file that best suits your printer.

If you want a better fit on this print, sand or file the edges of the fist layer after the print is done (that first layer tends to squish out a bit).

Design Process

I started out by creating a cool design in a program called Tesselmaniac. The tessellating shape was exported as SVG file from Tesselmaniac and brought into a 3D modelling application and extruded.

This same process could be used by students to engage in a compelling activity of exploring and recognizing patterns in the world around them.

Note: I have contacted the author of Tesselmaniac and the program now has a features to export the outline of the tessellation shape in SVG format which is a 3D Model friendly format.

Students will create tessellated shapes as part of math activity in order to explore patterns. They will then use a 3D modelling application to trace the object and extrude the shape into 3D space to create puzzles pieces allowing student to share their puzzles with their peers as a challenge game.

Objectives/Outcomes:

• Students will learn to identify repeating patterns by creating and printing tessellating shapes.
• Grade 6 math Curriculum (Alberta) PATTERNS AND RELATIONS Patterns: Use patterns to describe the world and to solve problems. 3-D Objects and 2-D Shapes: Describe the characteristics of 3-D objects and 2-D shapes,
  SHAPE AND SPACE (Transformations)
  General Outcome
  Describe and analyze position and motion of objects and shapes.
  Specific Outcomes
  1. Perform a combination of translations, rotations and/or reflections on a single 2-D shape, with and without technology, and draw and describe the image. [C, CN, PS, T, V]
  2. Perform a combination of successive transformations of 2-D shapes to create a design, and identify and describe the transformations. [C, CN, T, V]

Audiences:

• Upper elementary students - a grade 3 tester really enjoyed working with the sample puzzle

Skills Learned

• identification of shapes and patterns
• designing games for other students
• problem solving
• seeing math in the world
• create a tessellated 3D puzzle that can be physically put together
• it will be shared with other students as a challenging puzzle

Tessellation Creator Free

Lesson/Activity

• Students begin by creating a tessellating shape pattern either with the computer program (Tesselmaniac) or by hand.
• Once an interesting shape has been created, the teacher approves the design,
• The student then traces out the shape in a 2D or 3D program - many applications allow you to import a picture and then trace it with the bezier curve tools or one might use a program like Adobe Illustrator or Inscape (free) and export in an appropriate format (e.g. svg). If you use Tesselmaniac, that program allows you to export the outline of the tessellating shape as a SVG file which is compatible with many 3D modeling applications. One way to do this is to import the file into a program like Inkscape delete all the other elements except for the polygon shape. Then export as an Inkscape SVG file. You can then import this into most 3D applications (e.g. 123D Design). In the case of 123D Design import 'SVG as Solid'. This will automatically extrude the shape.
• Once the shape is created the students will extrude the shape to a desirable height.
• After the shape is created, it is approved by the teacher and then multiple shapes are printed (the number is a function of the design). One can elect to print in different colours as well.
• The resulting puzzles are shared and played amongst peers who are challenged by putting the pieces together into tessellating shapes.

Duration:
This activity could be modified to take one lesson (e.g. for a class designed approach where the class designs and prints out the results) or it could be multiple lessons where individuals or groups design tessellation designs and then print those out. Depending on access to the 3D printers and time available the instructor can adjust the length of this activity.

Preparation:

• either purchase a copy of Tesslemaniac or use paper to create a tessellating shape. If using paper, multiple copies can be cut out to test the shape.

Resources:

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Project Description

Tessellation Online

Project Name:
Tessellation Escher Project

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Overview and Background:
This education project involves students creating tessellation patterns and printing those out as puzzle pieces. Developing math thinking involves looking for patterns. This activity is designed to encourage students to see patterns in the world around them. 3D printing is useful here because students understand concepts by manipulating physical objects through kinesthesitic learning.

The sample files provided here is an example of the kind of puzzles students could create. These puzzles could be shared with other students to further reinforce the concepts of tessellating patterns. It also creates a nice piece of math art so links to the Art curriculum as well.