Tessellation

Tessellation- an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping.

Symmetry- In art, symmetry is often used as an aesthetic element. It is often used, to mean a kind of balance in which the corresponding parts are not necessarily alike but only similar. Generally is a balance between various parts of an object.

Pattern- is an underlying structure that organizes surfaces or structures in a consistent, regular manner. Pattern can be described as a repeating unit of shape or form, but it can also be thought of as the "skeleton" that organizes the parts of a composition.

Pattern Piece- is the template from which the parts of a tessellation are made before being traced onto paper. Patterns are usually made of paper, and are sometimes made of sturdier materials like paperboard or cardboard if they need to be more robust to withstand repeated use.

Translation- is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. ... In a translation, every point of the object must be moved in the same direction and for the same distance.

mathengaged.org

How to create your own tessellation:
Watch the youtube video about how to design your tessellation
https://www.youtube.com/watch?v=Lc4LGZwlcvs

In your sketchbook:

Draw out and design a tessellation step by step. Try to make a design that you can create an object out of/plan out how you will design the final shape that your tessellation makes.

Step by Step Instructions

1. Start with a 6 X 6 inch square. You will need a square, pencil, tape and scissors.

2. Start at the top of the square and make a design. It can be straight or curved or both. The design must NOT touch the corners! You must leave a little space.

3. Cut out the line as carefully as possible. Once the area is cut out slide it towards the bottom of the square and then tape it together. Make sure when you tape it together you do not leave any space in between you also cannot overlap it when you take it back together.

4. Once you have taped the first piece together, you will draw another design on the right side of the square. Make sure that the design does not touch either corner. You must leave some space in the corners.

5. Cut out the design carefully. Slide the design across the square to the left side and tape it down without leaving space in-between or overlapping.

6. Once everything is taped you have the finished tessellation piece. This is the piece that you will use to create your project. DO NOT loose it. Please put your name on it.

Watch the youtube video about how to begin tracing your tessellation onto good paper
https://www.youtube.com/watch?v=Lc4LGZwlcvs

Step by Step Instructions to Trace the Tessellation

1. Get a large piece of drawing paper and a pencil (you can use a sharpie if you are careful). Place the tessellation you created anywhere on the paper. You may start in the middle or in the center, it's your choice. Hold the tessellation perfectly still and trace around the entire shape.

2. Once the shape has been traced, remove the pattern piece and slide it right, left, up or down. The tessellation you made and the shaped that you traced should fit together like a puzzle. Once the tessellation is beside of the one you already traced, you will hold it down and trace it again.

3. You will continue this process. Keep moving the piece up, down, left and right and tracing it. Make sure you are careful and are only tracing it when it fits like a puzzle into the next space. Even if the piece does not fit all the way on the page it doesn't matter. You have to trace it everywhere that it fits together on the paper... even if that means half of it is off the page.

4. Once you have completely finished tracing your tessellation, your paper should be completely full of the pattern you created. You may trace these lines in sharpie if you would like. The next step will be to decide how you want to design your tessellation.

Designing your Tessellation

We will use colored pencil to color tessellations. You will have a few different options in the way that you choose to color your tessellation.

Options for completing the design:

Create patterns in each piece
Create an object or drawing in each piece
Create a background picture using the entire paper

YOU CANNOT JUST COLOR IN EACH PIECE!!!!!!

Create an object in each piece

Create a background drawing

Create patterns in each piece

Image Sources:

https://anmysite.com/top/animal-tessellation-by-barbzor.html.