Origami building blocks: Generic and special four
... Equations 2(iii) and 3(iii) involve the two pairs of opposing plates, specifically addressing for which pair the sum of the sector angles is larger (and thus larger than π ). We call this pair the dominant pair, and we can use it to quickly identify the unique and binding plates of a generic vertex. ...
... Equations 2(iii) and 3(iii) involve the two pairs of opposing plates, specifically addressing for which pair the sum of the sector angles is larger (and thus larger than π ). We call this pair the dominant pair, and we can use it to quickly identify the unique and binding plates of a generic vertex. ...
Chapter 6 Summary
... Using the Hinge Converse Theorem The Hinge Converse Theorem states: “If two sides of one triangle are congruent to two sides of another triangle and the third side of the first triangle is longer than the third side of the second triangle, then the included angle of the first pair of sides is larger ...
... Using the Hinge Converse Theorem The Hinge Converse Theorem states: “If two sides of one triangle are congruent to two sides of another triangle and the third side of the first triangle is longer than the third side of the second triangle, then the included angle of the first pair of sides is larger ...
Grade 8 Mathematics - Richland Parish School Board
... 2. Label the side lengths of the large and small square. ...
... 2. Label the side lengths of the large and small square. ...
A median of a triangle is a segment whose endpoints are a vertex
... Use your index card to draw the three altitudes of each triangle on the sheet provided. In each triangle do the altitudes intersect? The LINES containing the altitudes of triangle do intersect at one point. Def: The point of concurrency of the three altitudes (or the lines containing the three alti ...
... Use your index card to draw the three altitudes of each triangle on the sheet provided. In each triangle do the altitudes intersect? The LINES containing the altitudes of triangle do intersect at one point. Def: The point of concurrency of the three altitudes (or the lines containing the three alti ...
X - The Vanguard School
... The variance, represented by the symbol σ 2, is the average of the squared differences from the mean. To calculate the variance. • Find the mean of the data. • Subtract each value from the mean and square the result. • Find the average of the squared results. The standard deviation, represented by t ...
... The variance, represented by the symbol σ 2, is the average of the squared differences from the mean. To calculate the variance. • Find the mean of the data. • Subtract each value from the mean and square the result. • Find the average of the squared results. The standard deviation, represented by t ...
Steinitz's theorem
In polyhedral combinatorics, a branch of mathematics, Steinitz's theorem is a characterization of the undirected graphs formed by the edges and vertices of three-dimensional convex polyhedra: they are exactly the (simple) 3-vertex-connected planar graphs (with at least four vertices). That is, every convex polyhedron forms a 3-connected planar graph, and every 3-connected planar graph can be represented as the graph of a convex polyhedron. For this reason, the 3-connected planar graphs are also known as polyhedral graphs. Steinitz's theorem is named after Ernst Steinitz, who submitted its first proof for publication in 1916. Branko Grünbaum has called this theorem “the most important and deepest known result on 3-polytopes.”The name ""Steinitz's theorem"" has also been applied to other results of Steinitz: the Steinitz exchange lemma implying that each basis of a vector space has the same number of vectors, the theorem that if the convex hull of a point set contains a unit sphere, then the convex hull of a finite subset of the point contains a smaller concentric sphere, and Steinitz's vectorial generalization of the Riemann series theorem on the rearrangements of conditionally convergent series.↑ ↑ 2.0 2.1 ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑