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-). Jun 05, 2015  A tessellation is a shape that can be repeated over and over in a pattern. The way I explained it to the boys was that the shape needs to fit together like a puzzle, with no white space in between the pieces. As a Grade 4 teacher, I love how your activities are FREE for me, not requiring me to buy a bunch of materials. And I love how it is. TesselManiac!, is a new tessellation program from Kevin Lee, the creator of TesselMania!, Kaleidomania! And Tessellation Exploration. Includes The Flipping Tile Game. If you would like to try a demo version of the program it is posted on this page. 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. Get unlimited, ad-free access to all of TeacherVision's printables and resources for as low as $2.49 per month. We have a plan for every budget. Select a plan. All plans include a free trial and enjoy the same features. Cancel anytime. Learn more about Premium. 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.

• Tessellation Maker Free Download
• Tessellation Project

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

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:

Project Description

Project Name:
Tessellation Escher Project

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.

A pattern of shapes that fit perfectly together!

A Tessellation (or Tiling) is when we cover a surface with a pattern of flat shapes so that there are no overlaps or gaps.

MIDI sequencer software called Sekaiju is free, open source software for creating and editing MIDI data. MIDI stands for Multi Documented format. The software features unlimited redo and undo, 16 MIDI input ports and 16 MIDI ports all of them can be used simultaneously and much more. 49 rows  Audio and MIDI sequencer, support for VSTis, MIDI recording, editing, and playback Mozart. MixPad MIDI Editor MIDI Recording and Editing Software The powerful MixPad multi-track recording and mixing software includes a built-in MIDI editor for finite control of MIDI files and tracks, streamlining the entire audio production process. Record tracks from MIDI instruments and devices. 11 Best Free MIDI Sequencer Software For Windows BRELS MIDI Editor. Aria Maestosa. Best midi sequencer software. The freeware version of Anvil Studio (www.anvilstudio.com) is a more traditional MIDI-based sequencer offering comprehensive staff, lyric, piano-roll, drum, loops, audio and event editors, along with support for a single mono/stereo audio track. This may well suit those with 'read the dots' ability.

Examples:

Regular Tessellations

A regular tessellation is a pattern made by repeating a regular polygon.

Tessellation Maker Free Download

There are only 3 regular tessellations:

Look at a Vertex ..

Semi-regular Tessellations

A semi-regular tessellation is made of two or more regular polygons. The pattern at each vertex must be the same!

There are only 8 semi-regular tessellations:

Other Tessellations

There are also 'demiregular' tessellations, but mathematicians disagree on what they actually are!

And some people allow curved shapes (not just polygons) so we can have tessellations like these:

Tessellation Artist

All these images were made using Tessellation Artist, with some color added using a paint program.

Tessellation Project

You can try it too - maybe you will invent a new tessellation!