**Sypnosis Technologies said **

Hi,

I am testing the forum functionality.

Thanks 🙂

hi

]]>I am testing the forum functionality.

Thanks 🙂

]]>In 3D, one of the unique features of the Tetrahedron among the 5 Platonic Solids is that a line drawn from any of its vertexes directly through the centre of the form emerges in the centre of one of its faces. With all the other Platonics the line emerges at another vertex.

This makes the tetrahedron peculiarly unsymmetrical, especially in the way physical tetrahedrons relate to up and down in a gravitational field. The naturally sit on a face and have a vertex raised upwards, and are more 'pointy' than the other Platonics. In view of this, it seems natural to consider a tetrahedron to be only half of a complete form, the star tetrahedron, where two tetrahedra interpenetrate to create a more symmetrical structure, and the vertexes then form a cube.

My question is: Does this uniqueness have its analog in higher dimensional simplexes? (Simplex is the technical name for this triangular form in all dimensions).

MORE COMING SOON.

]]>Definitely still awake,

(and counting tetrahedrons as they jump the fence).

Bisecting the 60 degree angle between the 3 and 5 lines intersects the 4 baseline at it's midpoint. If we draw a line (in the sand ! 😉 ) between the midpoint and the only uncovered side of length 8 where it just touches the sand we can see that there must be 2 equal length sides between the 3-8 and 5-8 points on the horizontal sand surface.

Just for interest (if anyone is still awake at this point?) the midline from the 4 baseline and the 8 side length point has a length of root 51 (square of 2 subtracted from square of root 55) or about 7.141 and the two equal line lengths are root 55 (8 squared - 3 squared) or about 7.416 and the shorter side = 4 as explained before.

The only snag is:

it's NOT a star point! The angle between the equal sides is approx 65 degrees not the 72 degrees in a star (360/5) while the short - long side ratio is approx 1.854 not Phi. 🙁

But it is definitely makes an isoceles triangle in the horizontal plane.

d0b123

]]>To start, I will simplify the Flower of Life by removing the circles and simply focusing on the centers of the circles, which creates a triangular lattice.

Anyone who is familiar with Metatron's cube will recognize the following construction of the cube, except it's not a cube yet, it lacks the three-dimensionality of a cube. To make it three-dimensional, we need to expand it by a factor of sqrt(3) into the third dimension.

Doing this reveals that the subset of the Flower of Life lattice that appears to be seven points arranged in a hexagonal fashion is actually eight points arranged in a cubical fashion! I think this represents that the seven days of creation as represented by the Seed of Life were just what could be perceived by three-dimensional beings and that there was an extra day possibly for something imperceptible or even for another dimension of time. The structure formed by the cube resembles the Egg of Life

Expanding this construction to the whole of the two-dimensional Flower of Life reveals a cubic honeycomb, formed by many square tilings stacked on top of each other and connected, providing construction of the square tiling previously inaccessible with only the two-dimensional Flower of Life.

We are still missing a crucial piece of the puzzle though, the golden ratio! Thankfully there is a simple way to construct it using only a pentagon which is shown below.

Unfortunately, from the cubic honeycomb alone there is no way to construct the pentagon. However, the penteractic (five-dimensional cube equivalent) honeycomb provides a method. Shown below is a projection of a penteract onto two dimensions, the pentagonal symmetries of which allows us to finally construct a pentagon and by extension, the golden ratio. In addition, the cubic honeycomb can also be found within the penteractic honeycomb, providing us with the two dimensional Flower of Life.

A side effect of the penteractic honeycomb that you can also construct the beautiful quasiperiodic symmetry seen within the Ho-Mg-Zn quasicrystal, the Penrose tilings, and partially within Islamic architecture, using two-dimensional slices of the honeycomb, a testament to the power of sacred geometry.

Constructing a five-dimensional Flower of Life from the penteractic honeycomb gives an even more complex story of creation, with an extra 24 days of creation, adding up to 32 days!

We are still missing the dodecahedron and icosahedron. Despite being made of pentagons, or having five-fold symmetry on the vertices, the penteractic honeycomb doesn't provide a way to construct them. We must move another dimension up, into the sixth dimension. Using a hexeractic (six-dimensional cube equivalent) honeycomb, of which a penteractic honeycomb is a subset, we can construct the rhombic triacontahedron as the projection of the hexeract, the dual of which is the icosidodecahedron, which we can construct both the dodecahedron and icosahedron with.

This gives us a total of 64 days of creation.

However, in four dimensions and above, there were a lot of additional problems and structure presented such as the four-dimensional equivalents of the dodecahedron and icosahedron, the 120-cell and 200-cell, the unique one-of-a-kind 24-cell which has no equivalents in any other dimension, and finally the n-simplices which are the n-dimensional equivalents of the tetrahedron. However, I found a solution in the E8 honeycomb. E8 is a mathematical object known as a group (think of it as describing how things under certain actions, called symmetries, stay the same). It described the symmetries of objects found within various theories of everything, including Garrett Lisi's infamous Exceptionally Simple Theory of Everything. This pattern has also been reported to occur under psychedelic trips. Shown below is a projection of one of the eight-dimensional E8 polytopes which have E8 symmetry.

The above polytope represents the symmetry of a vertex of the E8 honeycomb. From this, you can construct the 120-cell and 200-cell,

or the 24-cell, which was represented by the first projection of the polytope I just showed you.

The E8 honeycomb, which I believe to be the true structure of the Flower of Life, with its vertices being the center of eight-dimensional hyperspheres, brings the number of days of creation to a whopping 241 days. The E8 polytope itself which I showed you can serve as a more advanced Metatron's cube, not only being able to represent the Platonic solids without adding extra points onto an already elegant structure, but also being able to represent their higher dimensional counterparts.

]]>Historically speaking, I would say that Sri Yantra is many centuries old,

and that Metatron's Cube cannot be traced back more that a few centuries.

However, mythologically speaking, it depends on your belief system.

Some would say Sri Yantra is the primal vibration that created the universe.

Some would say that Metatron's Cube is the blueprint of creation.

Sri Yantra represents a vibrational energetic field.

Metatron's Cube represents the building blocks of material form.

Which one is older? Perhaps both are older than time itself...

]]>I agree with you that there is no such thing as a 2D object in our universe.

If there was, we would not be able to perceive it anyway as it would be INFINITELY thin. Zero thickness.

Its atoms would have to be 2 dimensional as well.

So the idea of 2D is badly explained almost every time it is presented,

and this has serious implications for our understanding of what 3D is as well.

Would a 4D being think that a 3D object could not be real because it is infinitely flat in the 4th dimension?

This lead me eventually to the idea that to be real, an object must have some extension in infinite dimensions.

But at this point we need to deconstruct the concept of dimensions and understand what we are trying to conceptualise

in referring to co-ordinate systems and the perception of form itself!

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]]>Make a tetrahedron.

Mark points 3 5 and 8 units down three edges.

Join them up with other sticks.

Examine the resulting triangle.

I agree with @Cindy that intuitively I would think you need two lengths the same

in order to get an isosceles triangle, so Im intrigued 🙂

I find it fascinating that once you have phi ratios in a form

then they tend to appear everywhere within it.

So if the lengths were phi ratio instead of Fibonacci then I guess the triangle

would be a perfect star point?

That is to say, every 2d solid on paper is infinite complex if you look deeper with a microscope.

So if there is no proof in the universe of a 2d solid anywhere, because everything is made up of smaller and smaller particles, why do we believe we're 3D?

Is sacred geometry just used to give Chaos form?

]]>I have printed this design as both posters and metal boards that will very securely hold magnetic pieces

https://sacredgeometrical.com/.....game-board

I would like to come up with a variety of rules, variations on well known games as well as original ideas.

If this is interesting or inspiring to you, let me know! Throw some ideas of your own at me by all means 🙂

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