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  2. Symmetry aspects of M. C. Escher's periodic drawings

    en.wikipedia.org/wiki/Symmetry_aspects_of_M._C...

    In the first chapter, entitled Patterns with Classical Symmetry, the author introduces the concepts of motif, symmetry operations, lattice and unit cell, and uses these to analyze the symmetry of 13 of Escher's tiling designs. In the second chapter, Patterns with Black-white Symmetry, the antisymmetry operation (indicated by a prime ') is ...

  3. M. C. Escher: Visions of Symmetry - Wikipedia

    en.wikipedia.org/wiki/M._C._Escher:_Visions_of...

    M. C. Escher: Visions of Symmetry is a book by mathematician Doris Schattschneider published by W. H. Freeman in 1990. The book analyzes the symmetry of M. C. Escher's colored periodic drawings and explains the methods he used to construct his artworks. Escher made extensive use of two-color and multi-color symmetry in his periodic drawings ...

  4. Reflection symmetry - Wikipedia

    en.wikipedia.org/wiki/Reflection_symmetry

    In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2-dimensional space, there is a line/axis of symmetry, in 3-dimensional space, there is a plane of symmetry

  5. Metamorphosis II - Wikipedia

    en.wikipedia.org/wiki/Metamorphosis_II

    Metamorphosis II is a woodcut print by the Dutch artist M. C. Escher.It was created between November, 1939 and March, 1940. The print measures 19.2 by 389.5 centimetres (7 + 1 ⁄ 2 in × 12 ft 9 + 3 ⁄ 8 in) and was printed from 20 blocks on 3 combined sheets.

  6. Pattern Blocks - Wikipedia

    en.wikipedia.org/wiki/Pattern_blocks

    The first Trial Edition of the Teacher's Guide states: "Work on Pattern Blocks was begun by Edward Prenowitz in 1963. He developed most of the ideas for the blocks and their uses and arranged for the first classroom trials. Many ESS staff members tried the materials and suggested additional activities."

  7. Symmetry (geometry) - Wikipedia

    en.wikipedia.org/wiki/Symmetry_(geometry)

    A drawing of a butterfly with bilateral symmetry, with left and right sides as mirror images of each other.. In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object onto itself (i.e., the object has an invariance under the transform). [1]

  8. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    The type of symmetry is determined by the way the pieces are organized, or by the type of transformation: An object has reflectional symmetry (line or mirror symmetry) if there is a line (or in 3D a plane) going through it which divides it into two pieces that are mirror images of each other. [6]

  9. Square pyramid - Wikipedia

    en.wikipedia.org/wiki/Square_pyramid

    For the square pyramid, this is the symmetry of cyclic group: the pyramid is left invariant by rotations of one-, two-, and three-quarters of a full turn around its axis of symmetry, the line connecting the apex to the center of the base; and is also mirror symmetric relative to any perpendicular plane passing through a bisector of the base. [1]

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