tar

These questions come back directly to the idea of dark energy and dark matter where the existence of such is required by observations of motion of matter seen in distant galaxies following the apparent motion of a supernova within said distant galaxy.  Where motion is concerned you need a velocity and a direction, neither which are currently measurable in said distant galaxy.  The light travel time from one end of our galaxy to the other in measured in thousands of years.  Such is the case in a distant galaxy as well. So not only is the motion measured old news in  terms of millions of years, but what is happening at the closer side of said galaxy and what is happening at the far side, can not be considered as happening at the same time.  So an gas equation can not be applied to that whole galaxy at once.

Applied to the Twin paradox with the stationary twin aging faster than the traveling twin, the idea of reality and relativity comes in to play again, for from the vantage point of the traveling twin, she is stationary and the Earth is moving away at a high velocity.  So it is the Earth bound twin that appears to age slowly.  And on the trip back, all appearances are reversed and by the time the twin returns everything is in sync again.

Please open a thread on this, rather than post on my profile. Thanks!

Please open a thread on this rather than post on my profile - that way the community can discuss it together.

So the 48 cameras are some sort of virtual reality?

Application: What if you divide the Earth into sections to map satellites?

What about navigation, especially in Space?

What about video game 3D world positioning?

The changing shape and propagation of the radio wave?

When you draw you start with geometry primitives. Why not create a CAD script?

It is hard for me to think of something mathematical that doesn’t have an application no matter how small.

I know my application suggestions are not descriptive and it would take much work to complete them, but I envision a 3D model manipulated by change, shape, and division of spheres. Instead of editing polygons you’d edit spheres. If you tried 3D printing you know the inside of the model is structured like a bridge trusses. Those supports could be your spheres divisions.

Nice,i

I do need to learn some CAD and Rendering programs.

 There are many applications I think for the general Sperical Rhombic Dodecahedral structure.

And interesting aspect is it filled with symmetries and dual figures. And it is the basis for  a dense packing scheme that puts 12 spheres around a center sphere.  This pattern is a cuboctrahedral pattern that when built out, putting always 12 spheres around each sphere in the same pattern it looks more and more like a cuboctahedron as you build out, and contains 3 intersectinng square planes and 4 intersecting hexagonal planes.

The math is already there, the switch is to think of a cube with the corners cut off to the center of the edges.  The center of each edge is the center of a 1/12th section of the sphere.

I am working on a scheme to each sphere in the scheme.  The scheme fills space and is completely scalable and very symmetric, having direct analogs to the cube, the sphere, the tetrahedron and the cuboctahedron.

I like your ideas.  Please use the system freely. It is a mathematical system so I can not claim any ownership.  What I will claim is the discovery of the way to break the sphere into TAR radians using the four axis of the cube that extend through the corners, assigning a color to each 360 group of great circles and using the intersection of the two colors in each of the diamonds to name each degree sized area.  I recently found out that all the degree sized area are not equal in area, so there is as of yet not a clean mathematical way to use the system.

Where I see some possibility however is in labeling the spheres in the dense packing situation.  There is a relationship between the spheres in the dense packing system and the TAR radian system but I have not discovered it yet.

a scheme to label each sphere in the scheme

I was citing legal definitions. Whether or not you personally consider those actions to be sexual assault/rape is irrelevant. In the eyes of the law, they are. 

When you describe victims of sexual assault as "whores" you get neg reps from me - the views you expressed on appropriate and professional sexual conduct are abhorrent, outdated and deeply sexist. They have no place in a modern workplace. 

Arete,

Understood, but we are dredging up, as a society, sexual encounters that happened 20 or 30 years ago, and then, the definitions were different.

There is a certain understanding that people have between themselves that is not directly translatable to society's view of the situation.  Even currently.  Going back 20 years, you are doing  Monday morning quarterbacking, and what we think now of the situation, is not what we thought then, and certainly not what the people engaged in the activity at the time were thinking.

For instance, when I was in the Army in Germany it was illegal to be gay and be in the Army.   I knew some gay folk and never told on them, and the gay community on my base did not hide from me, as they would from most.  I did not realize how many gay people there were in the Army until I was accepted as a non threat.   However, your thinking that the law says a thing and therefore it is black and white, is not true.   I was not wrong, at the time, to keep my mouth shut, although I was actually protecting people that were doing illegal things.  If there had been an expose about our post, at the time, I would have been a wrong doer.

Such is why I ask for there to be a middle ground, to look at these situations as real situations between private individuals, and not situations that should be judged on a societal level, 20 years after the fact, when the rules have changed in between then and now.

I used the term whore, to point out, that at the time the female was using her female charms to get into the good graces of a powerful man, that would then hopefully pull a few strings for them.  This, is basically selling your body.

Regards, TAR

Aren't those drug addicts lying in the gutter fortunate they live in a country where medical professionals and law enforcement officers will run to their aid and administer CPR and Narcan. And a country where DrP will take him into his home and offer him a room and food and psychological support during his detox.

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