6-5 - Decatur ISD
... Properties of Rhombi A rhombus is a quadrilateral with four congruent sides. Opposite sides are congruent, so a rhombus is also a parallelogram and has all of the properties of a parallelogram. Rhombi also have the following properties. ...
... Properties of Rhombi A rhombus is a quadrilateral with four congruent sides. Opposite sides are congruent, so a rhombus is also a parallelogram and has all of the properties of a parallelogram. Rhombi also have the following properties. ...
Chapter 4 Review PowerPoint
... Our section was about the vocabulary that we have learned from the section. We had to fill in the blanks in the sentence that described the words. ...
... Our section was about the vocabulary that we have learned from the section. We had to fill in the blanks in the sentence that described the words. ...
Geometry - macgeometrystudent
... What observations can you make? Using these examples, can you form a good definition of each? Concave: ...
... What observations can you make? Using these examples, can you form a good definition of each? Concave: ...
Math 15 - Chapters 3 and 4 Test Show your work for each problem
... Use induction to prove that if the two piles initially each contain the same number of sticks, the second player can always guarantee a win. SOLN: Let denote the statement, “the second player wins when there are initially n sticks in each pile. Basis Step: P(1) is true because in this case there is ...
... Use induction to prove that if the two piles initially each contain the same number of sticks, the second player can always guarantee a win. SOLN: Let denote the statement, “the second player wins when there are initially n sticks in each pile. Basis Step: P(1) is true because in this case there is ...
P6 - CEMC
... a) The sum of the angles in each triangle will be 180◦ , give or take errors in measuring the angles. At right is a table which should roughly coincide with the students’ measurements. ...
... a) The sum of the angles in each triangle will be 180◦ , give or take errors in measuring the angles. At right is a table which should roughly coincide with the students’ measurements. ...
Penrose tiling
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A Penrose tiling is a non-periodic tiling generated by an aperiodic set of prototiles. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of the Penrose prototiles implies that a shifted copy of a Penrose tiling will never match the original. A Penrose tiling may be constructed so as to exhibit both reflection symmetry and fivefold rotational symmetry, as in the diagram at the right. A Penrose tiling has many remarkable properties, most notably:It is non-periodic, which means that it lacks any translational symmetry. It is self-similar, so the same patterns occur at larger and larger scales. Thus, the tiling can be obtained through ""inflation"" (or ""deflation"") and any finite patch from the tiling occurs infinitely many times.It is a quasicrystal: implemented as a physical structure a Penrose tiling will produce Bragg diffraction and its diffractogram reveals both the fivefold symmetry and the underlying long range order.Various methods to construct Penrose tilings have been discovered, including matching rules, substitutions or subdivision rules, cut and project schemes and coverings.