Poliedri di Johnson

Ennio Bolzonella, 22 mei 2019

Un solido di Johnson è un poliedro convesso le cui facce sono poligoni regolari. Questa definizione è molto generica ed include anche i solidi platonici, quelli archimedei, i prismi e gli antiprismi. Togliendo dalla definizione generale le categorie citate rimangono 92 poliedri, questi sono i solidi di Johnson propriamente detti. Questo libro ne rappresenterà alcuni.

Inhoudstafel

  1. Piramide quadrangolare elongata
    1. Piramide quadrata elongata
    2. Piramide quadrangolare di Johnson elongata (sezione autonoma)
  2. Piramide quadrata giroelongata
    1. Piramide quadrata giroelongata (poliedro di Johnson)
    2. Piramide di Johnson giroelongata (con sezione autonoma)
  3. Piramide pentagonale
    1. Piramide pentagonale
  4. Piramide quadrangolare
    1. Piramide di Cheope e piramide quadrangolare di Johnson
    2. Piramide quadrangolare di Johnson
  5. Piramide pentagonale elongata
    1. Piramide pentagonale elongata (solido di Johnson)
  6. Piramide pentagonale giroelongata
    1. Piramide pentagonale giroelongata
    2. Piramide pentagonale giroelongata da Icosaedro
  7. Elongated pentagonal orthobicupola
    1. Elongated pentagonal orthobicupola
  8. Elongated pentagonal cupola
    1. Elongated pentagonal cupola
  9. Pentagonal orthobicupola
    1. Pentagonal orthobicupola
  10. Pentagonal gyrobicupola
    1. Pentagonal gyrobicupola
  11. Elongated pentagonal gyrobicupola
    1. Elongated pentagonal gyrobicupola
  12. Cupola pentagonale
    1. Cupola pentagonale (solido di Johnson)
    2. Rombicosidodecaedro composto da cupole pentagonali
  13. Gyroelongated pentagonal cupola
    1. Gyroelongated pentagonal cupola
  14. Gyroelongated pentagonal bicupola
    1. Gyroelongated pentagonal bicupola
  15. Pentagonal rotunda
    1. Pentagonal rotunda
  16. Elongated pentagonal rotunda
    1. Elongated pentagonal rotunda
  17. Pentagonal gyrocupolarotunda
    1. Pentagonal gyrocupolarotunda
  18. Gyroelongated pentagonal rotunda
    1. Gyroelongated pentagonal rotunda
  19. Pentagonal orthobirotunda
  20. Elongated pentagonal orthocupolarotunda
    1. Elongated pentagonal orthocupolarotunda
  21. Gyroelongated pentagonal cupolarotunda
    1. Gyroelongated pentagonal cupolarotunda
  22. Elongated pentagonal orthobirotunda
    1. Elongated pentagonal orthobirotunda
  23. Elongated pentagonal gyrobirotunda
    1. Elongated pentagonal gyrobirotunda
  24. Gyroelongated pentagonal birotunda
    1. Gyroelongated pentagonal birotunda
  25. Square Cupola
    1. Square Cupola (solido di Johnson)
  26. Elongated Square Cupola
    1. Elongated square cupola (solido di Johnson)
  27. Gyroelongated square cupola
    1. Gyroelongated square cupola
  28. Square orthobicupola (solido di Johnson)
    1. Square orthobicupola (solido di Johnson)
  29. Square gyrobicupola (solido di Johnson)
    1. Square gyrobicupola (solido di Johnson)
  30. Gyroelongated square bicupola
    1. Gyroelongated square bicupola
  31. Elongated square gyrobicupola
    1. Elongated square gyrobicupola
  32. Triangular cupola
    1. Triangular cupola
  33. Elongated triangular cupola
    1. Elongated triangular cupola
  34. Gyroelongated triangular cupola
    1. Gyroelongated triangular cupola
  35. Triangular orthobicupola
    1. Triangular orthobicupola
  36. Elongated triangular orthobicupola
    1. Elongated triangular orthobicupola
  37. Elongated triangular gyrobicupola
    1. Elongated triangular gyrobicupola
  38. Gyroelongated triangular bicupola
    1. Gyroelongated triangular bicupola
  39. Gyrobifastigium
    1. Gyrobifastigium
  40. Elongated pentagonal bipyramid
    1. Elongated pentagonal bipyramid
    2. da Elongated Pentagonal bipyramid a Icosaedro
  41. Diminished rhombicosidodecahedron
    1. Diminished rhombicosidodecahedron
  42. Gyrate rhombicosidodecahedron
    1. Gyrate rhombicosidodecahedron
  43. Parabigyrate rhombicosidodecahedron
    1. Parabigyrate rhombicosidodecahedron
  44. Trigyrate rhombicosidodecahedron
    1. Trigyrate rhombicosidodecahedron
  45. Augmented dodecahedron
    1. Augmented dodecahedron
  46. Metabiaugmented dodecahedron
    1. Metabiaugmented dodecahedron
  47. Parabiaugmented dodecahedron
    1. Parabiaugmented dodecahedron
  48. Triaugmented dodecahedron
    1. Triaugmented dodecahedron

1.

Piramide quadrangolare elongata

  • 1. Piramide quadrata elongata
  • 2. Piramide quadrangolare di Johnson elongata (sezione autonoma)

1.1.

–

1.2.

–

2.

Piramide quadrata giroelongata

  • 1. Piramide quadrata giroelongata (poliedro di Johnson)
  • 2. Piramide di Johnson giroelongata (con sezione autonoma)

2.1.

–

2.2.

–

3.

Piramide pentagonale

  • 1. Piramide pentagonale

3.1.

–

4.

Piramide quadrangolare

  • 1. Piramide di Cheope e piramide quadrangolare di Johnson
  • 2. Piramide quadrangolare di Johnson

4.1.

–

4.2.

–

5.

Piramide pentagonale elongata

  • 1. Piramide pentagonale elongata (solido di Johnson)

5.1.

–

6.

Piramide pentagonale giroelongata

  • 1. Piramide pentagonale giroelongata
  • 2. Piramide pentagonale giroelongata da Icosaedro

6.1.

–

6.2.

–

7.

Elongated pentagonal orthobicupola

  • 1. Elongated pentagonal orthobicupola

7.1.

–

8.

Elongated pentagonal cupola

  • 1. Elongated pentagonal cupola

8.1.

–

9.

Pentagonal orthobicupola

  • 1. Pentagonal orthobicupola

9.1.

–

10.

Pentagonal gyrobicupola

  • 1. Pentagonal gyrobicupola

10.1.

–

11.

Elongated pentagonal gyrobicupola

  • 1. Elongated pentagonal gyrobicupola

11.1.

–

12.

Cupola pentagonale

  • 1. Cupola pentagonale (solido di Johnson)
  • 2. Rombicosidodecaedro composto da cupole pentagonali

12.1.

–

12.2.

–

13.

Gyroelongated pentagonal cupola

  • 1. Gyroelongated pentagonal cupola

13.1.

–

14.

Gyroelongated pentagonal bicupola

  • 1. Gyroelongated pentagonal bicupola

14.1.

–

15.

Pentagonal rotunda

  • 1. Pentagonal rotunda

15.1.

–

16.

Elongated pentagonal rotunda

  • 1. Elongated pentagonal rotunda

16.1.

–

17.

Pentagonal gyrocupolarotunda

  • 1. Pentagonal gyrocupolarotunda

17.1.

–

18.

Gyroelongated pentagonal rotunda

  • 1. Gyroelongated pentagonal rotunda

18.1.

–

19.

Pentagonal orthobirotunda


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20.

Elongated pentagonal orthocupolarotunda

  • 1. Elongated pentagonal orthocupolarotunda

20.1.

–

21.

Gyroelongated pentagonal cupolarotunda

  • 1. Gyroelongated pentagonal cupolarotunda

21.1.

–

22.

Elongated pentagonal orthobirotunda

  • 1. Elongated pentagonal orthobirotunda

22.1.

–

23.

Elongated pentagonal gyrobirotunda

  • 1. Elongated pentagonal gyrobirotunda

23.1.

–

24.

Gyroelongated pentagonal birotunda

  • 1. Gyroelongated pentagonal birotunda

24.1.

–

25.

Square Cupola

  • 1. Square Cupola (solido di Johnson)

25.1.

–

26.

Elongated Square Cupola

  • 1. Elongated square cupola (solido di Johnson)

26.1.

–

27.

Gyroelongated square cupola

  • 1. Gyroelongated square cupola

27.1.

–

28.

Square orthobicupola (solido di Johnson)

  • 1. Square orthobicupola (solido di Johnson)

28.1.

–

29.

Square gyrobicupola (solido di Johnson)

  • 1. Square gyrobicupola (solido di Johnson)

29.1.

–

30.

Gyroelongated square bicupola

  • 1. Gyroelongated square bicupola

30.1.

–

31.

Elongated square gyrobicupola

  • 1. Elongated square gyrobicupola

31.1.

–

32.

Triangular cupola

  • 1. Triangular cupola

32.1.

–

33.

Elongated triangular cupola

  • 1. Elongated triangular cupola

33.1.

–

34.

Gyroelongated triangular cupola

  • 1. Gyroelongated triangular cupola

34.1.

–

35.

Triangular orthobicupola

  • 1. Triangular orthobicupola

35.1.

–

36.

Elongated triangular orthobicupola

  • 1. Elongated triangular orthobicupola

36.1.

–

37.

Elongated triangular gyrobicupola

  • 1. Elongated triangular gyrobicupola

37.1.

–

38.

Gyroelongated triangular bicupola

  • 1. Gyroelongated triangular bicupola

38.1.

–

39.

Gyrobifastigium

  • 1. Gyrobifastigium

39.1.

–

40.

Elongated pentagonal bipyramid

  • 1. Elongated pentagonal bipyramid
  • 2. da Elongated Pentagonal bipyramid a Icosaedro

40.1.

–

40.2.

–

41.

Diminished rhombicosidodecahedron

  • 1. Diminished rhombicosidodecahedron

41.1.

–

42.

Gyrate rhombicosidodecahedron

  • 1. Gyrate rhombicosidodecahedron

42.1.

–

43.

Parabigyrate rhombicosidodecahedron

  • 1. Parabigyrate rhombicosidodecahedron

43.1.

–

44.

Trigyrate rhombicosidodecahedron

  • 1. Trigyrate rhombicosidodecahedron

44.1.

–

45.

Augmented dodecahedron

  • 1. Augmented dodecahedron

45.1.

–

46.

Metabiaugmented dodecahedron

  • 1. Metabiaugmented dodecahedron

46.1.

–

47.

Parabiaugmented dodecahedron

  • 1. Parabiaugmented dodecahedron

47.1.

–

48.

Triaugmented dodecahedron

  • 1. Triaugmented dodecahedron

48.1.

–

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