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  2. 12 ways to make your home look like a Hallmark Christmas ...

    www.aol.com/lifestyle/12-ways-to-make-your-home...

    In fact, I've noticed a few decorating tips and tricks that seem to make the Hallmark movie magic come to life to create scenes and settings that look extra cozy, extra festive and extra Christmas-y.

  3. Symmetries of Culture: Theory and Practice of Plane Pattern ...

    en.wikipedia.org/wiki/Symmetries_of_Culture:...

    In their review, they stated that the problem of creating a basis for systematizing patterns on the principles of symmetry was solved in Symmetries of Culture. They give three reasons for continuing to value the book: firstly, despite the passage of time, the book is still valid and useful; secondly, since the release of the book, the authors ...

  4. Color and Symmetry - Wikipedia

    en.wikipedia.org/wiki/Color_and_Symmetry

    Color and Symmetry is a book by Arthur L. Loeb published by Wiley Interscience in 1971. The author adopts an unconventional algorithmic approach to generating the line and plane groups based on the concept of "rotocenter" (the invariant point of a rotation).

  5. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semiregular tilings with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. A tiling that ...

  6. 50 Printable Pumpkin Carving Stencils To Use as Templates - AOL

    www.aol.com/50-printable-pumpkin-carving...

    These 50 printable pumpkin carving templates are ready to inspire you. On each image, click "save image as" and save the JPEGs to your computer desktop. From there, you can print them!

  7. Frieze group - Wikipedia

    en.wikipedia.org/wiki/Frieze_group

    A symmetry group in frieze group 1, 2, 3, or 5 is a subgroup of a symmetry group in the last frieze group with the same translational distance. A symmetry group in frieze group 4 or 6 is a subgroup of a symmetry group in the last frieze group with half the translational distance. This last frieze group contains the symmetry groups of the ...

  8. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    Cast metal vessels lacked the inherent rotational symmetry of wheel-made pottery, but otherwise provided a similar opportunity to decorate their surfaces with patterns pleasing to those who used them. The ancient Chinese, for example, used symmetrical patterns in their bronze castings as early as the 17th century BC. Bronze vessels exhibited ...

  9. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    The pattern represented by every finite patch of tiles in a Penrose tiling occurs infinitely many times throughout the tiling. They are quasicrystals: implemented as a physical structure a Penrose tiling will produce diffraction patterns with Bragg peaks and five-fold symmetry, revealing the repeated patterns and fixed orientations of its tiles ...