Investigation of shapesI am doing an investigation to observe shapes composed of other shapes (starting with triangles, then continuing with squares and hexagons. I will try to find the relationship between the perimeter (in cm), closed points and the amount of shapes (e.g. triangles etc.) used to create a shape. From this, I will try to find a formula that connects P (perimeter), D (closed points) and T (number of triangles used to create a shape). shape. Later in this investigation T will replace Q (squares) and H (hexagons) used to create a shape. Other letters used in my formulas and equations are X (T, Q or H) and Y (the number of sides of a form). I decided not to use S for squares, as it is possible that it will be confused with 5, when inserted into a formula. After that, I'll try to find a formula that connects the number of shapes, P and D that will make it work with any tessellation shape: my "universal" formula. I predict that for this to work I will have to include the number of sides of the shapes I use in my formula. Method First I will draw all possible shapes using, for example, 16 triangles, avoiding drawing those shapes with the same properties as T, P and D, as this does not make sense (i.e. those arranged in the same way but let's say, on their side I will attach these drawings to the front of each section. From this I will make a list of all the possible combinations of P, D and T (or later Q and H). Then I will continue to create tables of different numbers of that shape, I will create a graph containing all the tables and then I'll try to come up with a working formula. As I progress, I'll note down any obvious or not-so-obvious things I see, and any working formula I find will go to my "Formulas" page. enclosed points, triangles, etc. are written like their formal counterparts.