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Thoughts from transgressing dimension
Here you can see some of my wild thoughts and you may find some good worldly ideas on here. I just love thinking and thought I should let my thinking be read.
 by highdimensionman on Mon Jul 25, 2022 3:21 pm
So a cube infinite dimension has a circular top.
If you cube the space via a curving on an infinite approach you can build viewable and playble super voxel worlds with approximately infinite dimensions of freedom.
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by highdimensionman on Mon Jul 25, 2022 2:44 pm
Both have circular faces and the super simplex surface can be represented with a cone whilst the super cube surface has a thick superbolic gradient inner surface with the circular bottom in the center.
A convergent curve function when represented on a graph converges towards a certain curve form. An example of this may be x^2.
A divergent curve function would be like x^x where when graphed from 1 to ever bigger numbers you diverge off the graph.
You can transform a divergent curve with a second divergent curve. You can also make convergent curves more divergent or fully divergent also. The size of the numbers one would be supposidly working with is irrelevant as you are only working with convergent and divergent curve properties not actually using huge numbers just emulating if you could setting infinity 360° dials and curve or modular features.
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by highdimensionman on Sun Jul 24, 2022 10:40 pm
Hypofacial would be to to consider the geometry from the top but 1 surface as the outline and the top one simply represented by a colouring in of the innards with one colour and it goes inward.
A hyperfacial geometry is where each dimension of your surface is not ignored because it's too low down and it comes outward.
Hyper facial 4d simplex is 5 4 sided pyramids coming out at you uniquely fully connected per base side of the pyramid.
Hypo facial 5 uniquely connected quads with 5 colours use 1 per quad. A 4d Hyper cube would have 8 1 colour hexagons to connect up which I already know how this can connect up properly.
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by highdimensionman on Sun Jul 24, 2022 10:22 pm
a cube in between 4d and and 3d spacetime would flatten relative to perspective view and geometric physics it would literally get crushed to the lower dimension the further you got closer to 3d space time.
you can play with this midway dimensional spacial perspective physics idea in far higher dimensions and it may help compacting visual data relative to higher dimensional scenes.
I really live up to the name higherdimensionman with these current posts I think and with that polygon logic game anyone can find a new higher dimensional geometry that would not be to hard to put a 2d flatlander bug crawling round it.
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by highdimensionman on Sun Jul 24, 2022 10:06 pm
MAn have people to this point missed the point with higher dimensional perspective.
If you want a little dimensional problem . see what regular polygons you can get a given number of to connect up such that each side of the polygon connects to a unique polygon in such a way that all sides are connected. you can play the game of finding new groups of a given number of the same or two different polygons by arranging the polygons flat you want to play with on your piece of paper and connecting one side to one side never linking a side that has already been linked.
It's the rules for a game called find the 2 polygon or one polygon group that follows the rules and you Hsve lightly found a solid in some dimension.
If you can program math why not test with the computer how hard the task is just with bruit force not that hard actually until your talking like 3 groups of 40 and above polygons by which time you may be able to predict such solids faster than bruit force.
Let the search for regular polygon surface solids be with you
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