May 26, 2023

Use this Newfound Mathematical ‘Einstein’ Shape in your classroom! (FREE templates)!

This intriguing new discovery promises to inject a fresh wave of excitement into your mathematics classrooms, and we've made it accessible through FREE printable templates. Let's dive right in!

What is the 'Einstein' Shape?

 This construction was based upon an awesome new discovery by David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss. This aperiodic monotile, sometimes called an "einstein", is a shape that tiles the plane, but never periodically.

In simpler terms, it's a single shape that can cover an entire plane without leaving any gaps or overlapping. Now, here's the fascinating part: the pattern it creates never repeats - it's aperiodic. This property defies our usual understanding of tiling or tessellation, which often involves repeating patterns.

Why Use the 'Einstein' Shape in the Classroom?

The study of tessellations and their properties is a staple in many math curriculums. The introduction of this new, aperiodic tile offers a vibrant, innovative way to explore key mathematical concepts. Students can gain a hands-on understanding of geometry, pattern recognition, spatial reasoning, and the underpinnings of aperiodic order. This unique learning tool goes beyond the standard scope, drawing students into an exploration of the beauty and complexity of mathematical structures.

They can color, cut, and arrange the shapes to create their own non-repeating tessellations.

We're offering three different versions of 'Einstein' Tiles that you can print and use in your classroom:

* 2 versions of Basic 'Einstein' Tile. It's a great starting point for understanding and exploring the concept.
* Bunny Tessellation: It uses the same principles as the Einstein shape, but in the form of a bunny. This will help to engage younger learners or those who appreciate a more creative approach.

In this file, you will find 3 different versions of "Einstein Tiles". 


You also need to use a reflected version to cover the plane.

You can read more about this here

No matter how you choose to use the 'Einstein' shape, it's bound to add an extra layer of engagement and discovery to your lessons. After all, the joy of mathematics lies not just in finding the right answers but in the journey of discovering new patterns and perspectives. And now, with the 'Einstein' shape, that journey just got a whole lot more exciting!


So, let the tiling begin! Download the FREE templates now and prepare to watch your students engage with mathematics in a whole new way. Happy tessellating!



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