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  2. Lists of uniform tilings on the sphere, plane, and hyperbolic ...

    en.wikipedia.org/wiki/Lists_of_uniform_tilings...

    Special cases are right triangles (p q 2). Uniform solutions are constructed by a single generator point with 7 positions within the fundamental triangle, the 3 corners, along the 3 edges, and the triangle interior. All vertices exist at the generator, or a reflected copy of it. Edges exist between a generator point and its image across a mirror.

  3. Team Umizoomi - Wikipedia

    en.wikipedia.org/wiki/Team_Umizoomi

    Team Umizoomi is an American live-action/animated musical preschool children's television series created by Soo Kim, Michael T. Smith, and Jennifer Twomey, and developed by Teri Weiss for Nickelodeon and the Nick Jr. Channel. Twomey and Kim additionally serve as executive producers, and Kim also serves as a producer with Smith and Marcy Pritchard.

  4. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometrical shapes in a numerical way and extracting numerical information from shapes' numerical definitions and representations. Transformations are ways of shifting and scaling functions using different algebraic formulas.

  5. Pattern Blocks - Wikipedia

    en.wikipedia.org/wiki/Pattern_blocks

    Among other things, they allow children to see how shapes can be composed and decomposed into other shapes, and introduce children to ideas of tilings. Pattern blocks sets are multiple copies of just six shapes: Equilateral triangle (Green) 60° rhombus (2 triangles) (Blue) that can be matched with two of the green triangles

  6. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = ⁠ 13×5 / 2 ⁠ = 32.5 units. However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent.

  7. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere. Applications requiring triangle solutions include geodesy, astronomy, construction, and navigation.

  8. Dividing a square into similar rectangles - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_square_into...

    The solution in which the three rectangles are all of different sizes and where they have aspect ratio ρ 2, where ρ is the plastic ratio. The fact that a rectangle of aspect ratio ρ 2 can be used for dissections of a square into similar rectangles is equivalent to an algebraic property of the number ρ 2 related to the Routh–Hurwitz ...

  9. Froebel gifts - Wikipedia

    en.wikipedia.org/wiki/Froebel_gifts

    The second gift was developed to enable a child to explore and enjoy the differences between shapes. By attaching a string or inserting a rod in a hole drilled through these wooden geometric shapes, they can be spun by a child. Although the sphere always appears the same, the spinning cube reveals many shapes when spun in different ways.