Penrose Tiling

Semi- Regular Tessellations: Shape 1

Multiple Tessellations

Tessellation: Polygon

Enlarged Quadrilateral

The enlargement factor was 1/2. When you divide the area of the image by the area of the original quadrilateral the answer is 0.25, this means that the image is one quarter of the original's size.

Unchanged (Invariant): Angles, Shape.
Changed: Side lengths, Area, Sense/Orientation.

Enlargement 2

When you divide the area of the image by the area of the original shape the outcome is the enlargement factor multiplied by itself. This is proven the when the enlargement factor was 3, the answer was 9. With this information we can then predict that if the enlargement factor was 4 the area of the image divided by the area of the original shape would be 16, and if the enlargement factor was 5, the outcome would be 25.

Enlargement

I have found that although the lengths of the sides of the enlarged triangle had increased, the angles had remained invariant.