This web site was built to show some results of my 20 plus years of research on the close packing of spheres. At the origin, these results were examined purely from a mathematical standpoint. Later on, unexpected findings emerged, connecting these equations with observable physical realities. As I expanded this investigation, it eventually lead to the generation of a different way to link together the fundamental concepts of space, time, matter and light. It even goes further by re-defining each of these basic components. I hope you will enjoy exploring these concepts ... as well as the many associated observations presented on this site. Feedback is certainly welcomed.


September 2010
2   New    Waterman   World   maps   available   as   posters.
my email address is swaterman@watermanpolyhedron.com

      


Mathematics
Mensuration tables -
    Platonic    Archimedean    Johnson
    rhombic inclusive polyhedron ( shortest edge = 1)
    Waterman polyhedron - integer grid based - with some 5000 rotatable depictions.
        complete with 3d graphics; polyhedra, lattice, symmetry, Conway, dual, geodesic, zonohedron.
        Radial sweeps were taken from 0,0,0 as well as those itemized to the right of the lattice involved.
            bcc*  1,0,0  1,0.5.0  1,0.5,0.5  1,1,0  1,1,0.5  1.5,1.5,0.5
            cuboctahedron and octahedron*    1,0,0  1,1,0* 1,1,0.5  1,1,1  2,1,0.5   2,2,0.5  2,2,1
            diamond**  1,1,0  1,1,0.5  2,0,0**
            fcc0.5,0.5,0  0.5,0.5,0.5**  1,0,01,1,0.5
            hcp  0.5,0.5,0.5  1,1,1  2,0.5,0.5  2,2,0.5  0.25,0.25,0.25*   1,0.5,0  
            hcp diamond  1,1,0  2,0,0  0,0,0.5
            rhombic dodecahedral*  1,0,0  1,0.5,0.5  1,1,0  1,1,0.5  1,1,1*  2,2,0.5  
            simple cubic*  0.5,0,0 0.5,0.5,0  0.5,0.5,0.5*
            truncated octahedron  1,0,0  1,1,0  1,1,1  2,2,0.5  2,2,1  0.25,0,0*  1.5,1.5,1.5
            truncated tet and tet*  0.5,0.5,0.5  1,0,0  2,1,1  1.5,1.5,0  1.5,1.5,0.5  1.5,1.5,1  1.5,1.5 1.5**
            truncated tet and truncated octahedron and cuboctahedron*   1.5,1.5,0  1.5,1.5,1.5**
                  * Oh symmetry        ** Td symmetry
    4-Fold and 5-fold [ includes some phi related; non-integer x,y,z, points ]

Waterman polyhedron applications or write up
    applet - Mark Newbold's [ over 20,000 polyhedron with no inventory required ]
    Great Stella - software by Rob Webb [ even draws exact pieces for constructions ]
    Maurice Starck's - pages with various graphics
    Paul Bourke's - pages on-line generator for sphere clusters and polyhedron
    Antiprism - sofware by Adrian Rossiter
    Magnus Wenninger stellations
    Wikipedia
    ccp sphere based packs - aka fcc
    cubic close packing    

Cartography
    Waterman World map - new 2010 Atlantic and Pacific centered versions
    2d projections - maps projected onto Waterman solids
    3d globe projections - globe projected onto Wateman solids

other
    Lineal - conversion tables for the tetrahedron, cube and octahedron  

    Volumetric - conversion tables for the tetrahedron, cube and octahedron  
    71 diamond-regulars
    Ramsey predictions
    phi

Physics

suggested universal concepts
    math vs physical - a conceptual overview applied to topics below
    my 17 postulates
    fixed point space
    fixed interval time
    fixed quanta mass
    fixed wavelength light
    math derived values for fundamental physical constants
    over 100 fundamental physical constant values.
- Nist / Waterman

suggested individual concepts
    Periodic table - aligned by valence
    Lyman wavelengths - related to Rydberg
    Fine Structure constant - as a variable
    Ionization Potentials 
    suggested EMR wave
    suggested FTL effect

 my Relativity challenge
    Galilean Challenge - x' = x-vt
    2 observer math - Einstein
    4 observer math  -  aka multilateration


Personal

    jukebox 1 [ my Dad's tunes ]
        "classical honky-tonk jazz" from the Juliard School musicians
    juke 2 [ my tapes of 1978 ]
       Montreal; Rainbow Bar ( back room ) Yellow Door Coffee house
    original poems
    

various links

    polyhedron   toys   geometry ( some links may no longer be working )

The contents of this web site are © Copyright Steve Waterman or a third party contributor where indicated. You may print or save an electronic copy of parts of this web site for your own personal use. Permission must be sought for any other use.