GEODESIC GEOMETRY – after’ Bucky’ Buckminster Fuller Synergetics (‘75) = spherical triangular infinite patterns of Nature, Vastly expanded from Plato’s polyhedrons solids

Structures = polygons & polyhedrons chains angles

Circles & triangles: open inside, open sides, closed rim or changing

Tetrahedron 4 equal sided pyramid, with 6 edges, frame &or surface

Pyramid – 5 sided, 4 equal triangles, with square base

Octahedron – 2/bi pyramid, base to base, 8 equal triangles

Vector Equilibrium – cubeoctahedron – 8 equal triangles + 4 equal

squares, only flexible 3-D shape

Icosahedron – spherical, 20 sided, equal triangles, 12 hubs, 30 edges

Dodecahedron – spherical, 12 equal pentagons attached, 30 edges

Icosododecahedron – combining 2 sphericals, 62 hubs, 120 equ Ñs

Earthstar world map of earth-energy grid-works,

Icosdodeca, Designed by Becker & Hagen, 1983.

Infinite variation from symetrical patterns

Zomes – any uneven/asymetrical, egg/oval geodesic spheroid

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Geodesic FUNCTIONS – all space filling structures

1. Snow-flakes always unique, & ice crystals

2. Organic chemistry – DNA, carbonics, carbohydrates, proteins, Fats,

acids, alcohols, oils, fats, fermenting, etc.\

3. Hexgon grids – bees/wasp nest, nuts, bolts, screens, fences,

4. Engineering-structures: bridges/airfoils/tower truss, extensions,

5. Most crystals, metals, lava, clay, stones, rocks, quartz, bones,

6. Hexapenta: close packing, clustering, lens, x-rays, tibes, grid

7. Tensegrity: triangular tension structures: webnets, spines, spiders

8. Weaving patterns: grass, fiber, palms, rope, etc

9. Bubbles/foam clusters of gases, glass & plastic,

10. Cell clusters: muscles, skin, bones, eyes, organs,

11. Buckminsterfullerine= Buckyball = carbon 60, new element

(& other isotopes) discovered in late 80s & confirmed in ‘90s. The

common geometric pattern on the popular soccer ball.

12. Signs: triangle, hexagon, nuke, diamond, pentagon, octagon

13. Industry & military weapons systems