P1 3D Vortex Based Math Rhombic dodecahedron Part 1 of 4

[@Flying_Scorpion]

Going from 2D to 3D. A series of squares on a chessboard is an easy way to map out 2D. But it's far less efficient than using Hexagons, especially when trying to draw Circles. When we venture into 3D, we typically take a square, and turn it into a cube, an easy to understand shape that uniformly fills 3D space. But just like a square is to a hexagon, it is less efficient, especially when trying to draw Spheres. In my mind, a square is to a hexagon, as a cube is to the rhombic dodecahedron.

[@sprinvntrdd]

Outstanding!!! Really helpful work Russ. Great things are bound to come out of this box. pun intended. Nine by nine! Can you imagine the devices we can build based on 9 x 18, 9 x 27, 9 x 36, etc. And 18 x 18, 18 x 27, 18 x 36, etc. Safe to say, this toroidal matrix solves all our energy problems, because at minimum properly built coils will increase the efficiencies of existing generators, dynamos, etc. At max we can build brand new generators and motors with mad kick ass power! Cheers.

[@mikepowers420]

Hi, first off - you did a Great job with the math. The resion you have come up with a square is becasue you are only working in 3-D. If you rotate the math through 9-D, one of the configurations looks like a toroid. As you look at this in 3-D, you will see boundry nodes form. They will have distinct paterns, like the weak and strong forces and energy overlays that reside in Lie Groups. Peace. Mike.

[@C-o-r-y]

DEGREES • FACES • EDGES • VERTICES Triangle: * Degrees: 180 * Faces: 1 (triangle) * Edges: 3 * Vertices: 3 Square: * Degrees: 360 * Faces: 1 (square) * Edges: 4 * Vertices: 4 Pentagon: * Degrees: 540 * Faces: 1 (pentagon) * Edges: 5 * Vertices: 5 Hexagon: * Degrees: 720 * Faces: 1 (hexagon) * Edges: 6 * Vertices: 6 Tetrahedron: * Degrees: 720 * Faces: 4 (equilateral triangles) * Edges: 6 * Vertices: 4 Octagon: * Degrees: 1080 * Faces: 1 (octagon) * Edges: 8 * Vertices: 8 Pentagonal Pyramid * Degrees: 1440 * Faces: 6 (5 triangles, 1 pentagon) * Edges: 10 * Vertices: 6 Octahedron: * Degrees: 1440 * Faces: 8 (equilateral triangles) * Edges: 12 * Vertices: 6 Stellated octahedron: * Degrees: 1440 * Faces: 8 (equilateral triangles) * Edges: 12 * Vertices: 6 Pentagonal Bipyramid * degrees: 1800 * Faces: 10 (10 triangles) * Edges: 15 * Vertices: 7 Hexahedron (Cube): * Degrees: 2160 * Faces: 6 (squares) * Edges: 12 * Vertices: 8 Triaugmented Triangular Prism: * Degrees: 2520 * Faces: 10 (6 triangles, 4 squares) * Edges: 20 * Vertices: 14 Octadecagon (18-sided polygon): * Degrees: 2880 * Faces: 1 (octadecagon) * Edges: 18 * Vertices: 18 Icosagon (20-sided polygon): * Degrees: 3240 * Faces: 1 (icosagon) * Edges: 20 * Vertices: 20 Truncated Tetrahedron * Degrees: 3600 * Faces: 8 (4 triangles, 4 hexagons) * Edges: 18 * Vertices: 12 Icosahedron: * Degrees: 3600 * Faces: 20 (equilateral triangles) * Edges: 30 * Vertices: 12 Cuboctahedron or VECTOR EQUILIBRIUM * Degrees: 3600 * Faces: 14 (8 triangles, 6 squares) * Edges: 24 * Vertices: 12 3,960 DEGREES 88 x 45 = 3,960 44 x 90 = 3,960 22 x 180 = 3,960 11 x 360 = 3,960 Rhombic Dodecahedron * Degrees: 4,320 * Faces: 12 (all rhombuses) * Edges: 24 * Vertices: 14 * Duel is Cuboctahedron or vector equilibrium Tetrakis Hexahedron: * Degrees: 4320 * Faces: 24 (isosceles triangles) * Edges: 36 * Vertices: 14 Icosikaioctagon (28-sided polygon): * Degrees: 4680 * Faces: 1 (icosikaioctagon) * Edges: 28 * Vertices: 28 5040 DEGREES 5400 DEGREES 5,760 degrees 6,120 degrees Dodecahedron: * Degrees: 6480 * Faces: 12 (pentagons) * Edges: 30 * Vertices: 20 7560 DEGREES 6840 DEGREES 7,200 DEGREES 7560 DEGREES Truncated Cuboctahedron * Degrees: 7920 * Faces: 26 (8 triangles, 18 squares) * Edges: 72 * Vertices: 48 Rhombicuboctahedron: * Degrees: 7920 * Faces: 26 (8 triangles, 18 squares) * Edges: 48 * Vertices: 24 Snub Cube: * Degrees: 7920 * Faces: 38 (6 squares, 32 triangles) * Edges: 60 * Vertices: 24 Trakis Icosahedron: * Degrees: 7920 * Faces: 32 (20 triangles, 12 kites) * Edges: 90 * Vertices: 60 8,280 DEGREES 8640 DEGREES 9000 DEGREES 9,360 degrees 9,720 degrees Icosidodecahedron: * Degrees: 10080 * Faces: 30 (12 pentagons, 20 triangles) * Edges: 60 * Vertices: 30 ? 10,440 degrees Rhombic Triacontahedron: * Degrees: 10,800 * Faces: 30 (rhombuses) * Edges: 60 * Vertices: 32 11160 DEGREES 11,520 DEGREES 11,880 DEGREES 12,240 DEGREES 12,600 DEGREES 12960 DEGREES END OF POLAR GRID Small Ditrigonal Icosidodecahedron: * Degrees: 16,560 * Faces: 50 (12 pentagons, 20 triangles, 18 squares) * Edges: 120 * Vertices: 60 Small Rhombicosidodecahedron * Degrees: 20,880 * Faces: 62 (20 triangles, 30 squares, 12 pentagons) * Edges: 120 * Vertices: 60 Rhombicosidodecahedron * Degrees: 20,880 * Faces: 62 (30 squares, 20 triangles, 12 pentagons) * Edges: 120 * Vertices: 60 Truncated Icosahedron: * Degrees: 20,880 * Faces: 32 (12 pentagons, 20 hexagons) * Edges: 90 * Vertices: 60 Disdyakis Triacontahedron: * Degrees: 21600 * Faces: 120 (scalene triangles) * Edges: 180 * Vertices: 62 Deltoidal Hexecontahedron * Degrees: 21,600 * Faces: 60 (kites) * Edges: 120 * Vertices: 62 Ditrigonal Dodecadodecahedron: * Degrees: 24480 * Faces: 52 (12 pentagons, 20 hexagons, 20 triangles) * Edges: 150 * Vertices: 60 Great Rhombicosidodecahedron * Degrees: 31,680 * Faces: 62 (12 pentagons, 20 hexagons, 30 squares) * Edges: 120 * Vertices: 60 Small Rhombihexacontahedron: * Degrees: 31,680 * Faces: 60 (12 pentagons, 30 squares, 20 hexagons) * Edges: 120 * Vertices: 60 Pentagonal Hexecontahedron: * Degrees: 32,400 * Faces: 60 (pentagons) * Edges: 120 * Vertices: 62

[@inphiknitfractal]

Don't understand why the rhombic dodeca instead of regular.. pent creates golden mean waves (self organization at the center of the torus)... Background radiation of the universe is aligned in regular dodeca, Earth grid is Icosa..12 vortex points in the 12 faces of the next fractal component. What does the rhombic do to form waves into a torus?

[@observedReality]

I love your mind. Thank you for doing this work.

[@ThePaulTM]

It is interesting to see that you get a perfect order of number arrangement with the Rhombic dodecahedron. I found good results forming a DNA globule. I achieved it with a lot of trial and error to form a continuous string maybe your number arrangement will figure it out. Please check it out (DNA Fundamentals) Thanks from Paul

[@Th3ron3]

what did you major in in college?

[@Iseekoutthetruth]

looks like a pyramid inside a pyramid inside a pyramid

[@oxiigen]

@inphiknitfractal good question!