1. What is a tessellation?
2. How are Geometric Transformations used in tessellations?
3. Who is MC Escher and what does he have to do with tessellations?
Write a paragraph for each of the questions.
1. A tessellation is a geometric pattern made up of repeating shapes, called tiles, that fit together perfectly without any gaps or overlaps. These tiles can be made up of various shapes such as triangles, squares, hexagons, or other polygons. Tessellations are often used in art, design, and mathematics to create visually appealing patterns and decorations.
2. Geometric transformations, such as translations, rotations, reflections, and dilations, are used in creating tessellations. These transformations are used to manipulate the shapes of the tiles in order to fit them together seamlessly to create a repeating pattern. By applying these transformations to the original tile, artists and mathematicians can create intricate and complex tessellations.
3. Maurits Cornelis Escher, better known as MC Escher, was a Dutch graphic artist known for his innovative use of tessellations in his artwork. Escher's work often featured impossible constructions, optical illusions, and intricate tessellations that blended mathematics and art seamlessly. His tessellations were not only visually stunning but also challenged viewers' perceptions of space and perspective. Escher's work continues to inspire artists, mathematicians, and designers to explore the possibilities of tessellations in their own work.