Tessellations

John Golden, Renert School, Sep 20, 2022

Interesting plane coverings

Table of Contents

  1. X
    1. Napoleon Tiling
    2. Semiregular tessellation
    3. Escherized Pentagon Tessellation
    4. Triangle Tessellation with Hexagonal Gap
    5. Triangle Tessellation with Gaps
    6. Pythagorean Tiling
    7. Hexagon Tiling
    8. A Tessellation
    9. Indiana Puzzle Quilt
    10. Three Piece Hexagonal Tessellation
    11. Hexagonal Star
    12. Cat Tiling
    13. Pentagon Spiral Tiling
    14. Hexagon Spiral Tessellation
    15. Similar Quadrilaterals
    16. Gábor's Tiling
    17. Daisy Tessellation
    18. Tessellation
    19. Kite Tessellation
    20. Hexagon Tessellation
    21. Triangle Tessellation
    22. Decorated Polygons
    23. Lee Sallows' Self Tilers
    24. Kite Tessellation
    25. Turtle Tiles
    26. Escherized Hexagon 2
    27. Qarawiyyin Tiling (generalized)
    28. Tessellation in a Square
    29. H. Weyl "Symmetry" (PRINCETON) via Ijon Ticky
    30. Tessellation
    31. Tiles
    32. Construction of non periodic tiling (extended Version)
    33. Rectangular Tessellation
    34. Tessellated Polyline
    35. Isosceles Trapezoid Tessellation
    36. Dual Dilations
    37. pentagonal tiling from squares and parallelograms
    38. Penrose Tiling
    39. Hexagonal Slide
    40. Tessellation kite & hexagons
    41. An Alhambra Tessellation
    42. Square Duck
    43. Duck Tiles
    44. Escherized Pentagons
    45. Fathauer Kites
    46. Double Glide Reflection Tessellation
    47. Double Glide Reflection Tessellation
    48. Fractal Tiling
    49. Isosceles Triangle Tessellation
    50. Escherized Two Tile: Octagon and Square
    51. Yemeni Squares
    52. Kites and Rhombs
    53. Stars and Hexes
    54. Two Rhomb Tiling after Escher
    55. Hexagonal Fish
    56. Hex, Rhomb and Isosceles
    57. Dilated Tessellation
    58. Penrose Tiles with Matching
    59. Penrose Tiles without Matching
    60. Gato escheriano
    61. Lagarto escheriano
  2. ESCHER
    1. Copy of Escher's Lizard Tessellation
    2. Copy of A tessellation with fishes (Escher).
    3. Copy of Escherized Tessellation
    4. Copy of Escher's Dog Tessellation 2
    5. Copy of Escher's Pegasus Tessellation

1.

X

  • 1. Napoleon Tiling
  • 2. Semiregular tessellation
  • 3. Escherized Pentagon Tessellation
  • 4. Triangle Tessellation with Hexagonal Gap
  • 5. Triangle Tessellation with Gaps
  • 6. Pythagorean Tiling
  • 7. Hexagon Tiling
  • 8. A Tessellation
  • 9. Indiana Puzzle Quilt
  • 10. Three Piece Hexagonal Tessellation
  • 11. Hexagonal Star
  • 12. Cat Tiling
  • 13. Pentagon Spiral Tiling
  • 14. Hexagon Spiral Tessellation
  • 15. Similar Quadrilaterals
  • 16. Gábor's Tiling
  • 17. Daisy Tessellation
  • 18. Tessellation
  • 19. Kite Tessellation
  • 20. Hexagon Tessellation
  • 21. Triangle Tessellation
  • 22. Decorated Polygons
  • 23. Lee Sallows' Self Tilers
  • 24. Kite Tessellation
  • 25. Turtle Tiles
  • 26. Escherized Hexagon 2
  • 27. Qarawiyyin Tiling (generalized)
  • 28. Tessellation in a Square
  • 29. H. Weyl "Symmetry" (PRINCETON) via Ijon Ticky
  • 30. Tessellation
  • 31. Tiles
  • 32. Construction of non periodic tiling (extended Version)
  • 33. Rectangular Tessellation
  • 34. Tessellated Polyline
  • 35. Isosceles Trapezoid Tessellation
  • 36. Dual Dilations
  • 37. pentagonal tiling from squares and parallelograms
  • 38. Penrose Tiling
  • 39. Hexagonal Slide
  • 40. Tessellation kite & hexagons
  • 41. An Alhambra Tessellation
  • 42. Square Duck
  • 43. Duck Tiles
  • 44. Escherized Pentagons
  • 45. Fathauer Kites
  • 46. Double Glide Reflection Tessellation
  • 47. Double Glide Reflection Tessellation
  • 48. Fractal Tiling
  • 49. Isosceles Triangle Tessellation
  • 50. Escherized Two Tile: Octagon and Square
  • 51. Yemeni Squares
  • 52. Kites and Rhombs
  • 53. Stars and Hexes
  • 54. Two Rhomb Tiling after Escher
  • 55. Hexagonal Fish
  • 56. Hex, Rhomb and Isosceles
  • 57. Dilated Tessellation
  • 58. Penrose Tiles with Matching
  • 59. Penrose Tiles without Matching
  • 60. Gato escheriano
  • 61. Lagarto escheriano

1.1.

Napoleon Tiling

Napoleon Tiling
Drag the white dots to change the pattern.
note about this construction
– Arthur Lee

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2.

ESCHER

  • 1. Copy of Escher's Lizard Tessellation
  • 2. Copy of A tessellation with fishes (Escher).
  • 3. Copy of Escherized Tessellation
  • 4. Copy of Escher's Dog Tessellation 2
  • 5. Copy of Escher's Pegasus Tessellation

2.1.

Copy of Escher's Lizard Tessellation

Move the sliders to explore the tile formation process and the symmetries of the tessellation.
– Renert School, Duke

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