Title: Teachable Tessellations Brief Overview: This performance 2025

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A tessellation is simply a tiling that has a repeated pattern of one or more shapes. For a pattern to truly be a tessellation, the shapes cant overlap and can have no spaces between them. The pattern can be created by rotating, translating (sliding), and/or reflecting (mirroring) the shapes.
Audio: 3 Rules of a Tessellation Rule #1The shapes must be regular polygons. Rule #2 The polygons cant overlap or have gaps in the pattern. Rule #3 Every vertex has to look the same.
Learning Objectives Demonstrate an understanding of geometric properties and transformations. Analyze tessellations for geometric properties (e.g. symmetry, congruence) Create tessellations using transformations (e.g. translation, reflection, rotation)
An arrangement of repeating shapes with no spaces or overlaps between them.
A tessellation is when a flat surface, like a floor or a piece of paper, is covered with repeating geometric shapes. The shapes must fit together so that there are no gaps. Youve probably seen a tessellation before and didnt realize!

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7. Jack claims he constructed a semi-regular tessellation with vertex configuration {3, 4, 6}. a) What do the numbers 3, 4, and 6 refer to? The vertex configuration of {3, 4, 6} refers to an equilateral triangle, square, and regular hexagon surrounding any random vertex point in the tessellation.

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