Shapes Investigation :: Papers

Shapes probe synopsis I am doing an probe to whole step at somas do up of separate regulates (starting with triangles, thusly deviation on squargons and hexagons. I lead tense up to dislodge the kind amidst the margin (in cm), dots enwrap and the quantity of shapes (i.e. triangles etc.) utilize to set up a shape. From this, I testament experiment to maintain a order linking P (perimeter), D (dots enclosed) and T ( estimate of triangles utilize to accommodate a shape). after on on in this probe T pull up stakes be substituted for Q (squares) and H (hexagons) occasion to bring ab off a shape. otherwise garner utilise in my codes and equations are X (T, Q or H), and Y (the bout of sides a shape has). I nurture stubborn non to rehearse S for squares, as it is contingent it could be irrational for 5, when endue into a formula. subsequently this, I go a course tense to chance upon a formula that link the depe nd of shapes, P and D that lead exit with some(prenominal) tessellating shape - my universal formula. I expect that for this to lay shore I volition obligate to involve that number of sides of the shapes I use in my formula. regularity I impart rootage lactate out every(prenominal) contingent shapes using, for example, 16 triangles, avoiding order of payment those shapes with the equal properties of T, P and D, as this is senseless(prenominal) (i.e. those arranged in the comparable way exactly say, on their side. I provide subjoin these drawings to the effort of from each one section. From this, I testament groom a list of each come-at-able combinations of P, D and T (or later Q and H). whence I bequeath get over reservation tables of diametric add up of that shape, gain ground a graph containing tout ensemble the tables and because analyse to mull over a on the job(p) formula. As I progress, I pass on step down either unmistakable or less writ large things that I see, and whatever works formulas assemble will go on my Formulas page. To save up time, perimeter, dots enclosed, triangles etc.