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Dimensions

or: Dimensional thinking

or: The dimensionality of self

What are dimensions?

The idea of dimensions may be the most mind-expanding notion the intellectual mind can entertain. It is not as daunting, however, as it may sound.

Point-line-plane postulate

Wrapping one's mind around dimensionality is one of the most mind-expanding exercises one can do. What follows is the basic idea of Euclidean spatial dimensionality, which follows a simple geometrical pattern known as the point-line-plane postulate.

Dimensions illustratedA 2-dimensional conceptualization of bounded Euclidean dimensionality.

We start with the idea of the "0th" dimension. Imagine a zero-dimensional point (of indeterminate/irrelevant size). Now add an infinite number of 0D points next to it (each separated, if you will, by the Planck length), forming thus a line of 0D points, the 1st dimension. Two directions exist: forwards and backwards. (See Rob Bryanton's Imagining the First Dimension for a powerful visual explanation.)

To create the 2nd dimension, repeat the pattern of placing the previous dimension parallel to itself, turning the 1-dimensional line into a 2-dimensional plane. Two new directions have thus been added: left and right. In a 2-dimensional reality, there is no concept of up/down, so from a 3-dimensional perspective, everything would be completely flat. If life could exist in a 2-dimensional reality, it would be something like that depicted in Flatland: The Film. (See Rob Bryanton's Imagining the Second Dimension for visualizations.)

To create the 3rd dimension, we once again repeat the pattern and stack an infinite number of 2-dimensional planes on top of each other, creating the up/down axis. Now we are in familiar territory, the 3 dimensions that encompass everything we know, from electrons and quarks (whatever the hell they are) to our daily experience to the whole universe. (In Imagining the Third Dimension, Rob Bryanton adds a 'twist' to this idea by curling the dimension up on itself, but for our purposes here we will keep it to simplified "blocky" thinking.)

Tesseract animationA tesseract (4D cube), which is to the cube as the cube is to the square (2D cube), performing a double rotation about two orthogonal planes in order to better impart its orthogonality in a 3D projection on a motion-picture 2-dimensional canvas.

This is where it gets trickier, because visualizing the 4th dimension from a 3-dimensional perspective may be (almost) as difficult as a Flatlander visualizing the 3rd dimension. There is no direction to point to, because the directions are "outside" of our frame of reference. The directions can be thought of as time/anti-time (a segment of which we experience as duration). You'd therefore have to be "beyond time" to point at the directions. The 4th dimension can be thought of as a way to account for change in the 3rd dimension. Without the 4th dimension, the universe would be completely static, like a 3-dimensional photograph that cannot change. The 3rd dimension can thus be thought of as static frames at any moment in time, those moments in time being points in a 4-dimensional timeline (just like the 0-dimensional points forming a 1-dimensional line). This is why the 4th dimension is not time, but spacetime, because there could not be duration without space. (See Rob Bryanton's Imagining the Fourth Dimension.)

What is the 5th dimension?

Now that we have accounted for the universe and change in it (spacetime), why would we need further dimensions? From a fundamentalist-materialist perspective, it's (somewhat) reasonable to adopt a reductionist view that our reality is deterministic, but if you know you have free will (or otherwise assume that your apparent free will is not an illusion), then a single 4-dimensional timeline is insufficient, because it would mean that the future is already determined (hence free will is an illusion). So, like the transition from the 1st to 2nd dimensions, place an infinite number of timelines parallel to each other and you have a 5-dimensional plane of timelines. The 5th dimension can be thought of as the probability space. (See — you guessed it — Rob Bryanton's Imagining the Fifth Dimension.)

The 5th dimension is the conceptual realm wherein 4th-dimensional ideas are conceived of. The 4th dimension is the experiential realm in which ideas are manifested. According to this logic, we are not 3D points linearly moving in one direction in a 4D timeline, as reductionist determinism would have it — rather, we are more like 3D points fluidly twisting and turning (vibrating, if you will) in a 5D plane, shifting timelines with our free will. Or is it even a dimension higher than a 5D plane of 4D timelines?

What is the 6th dimension?

In Rob Bryanton's Imagining the Sixth Dimension, the 6th dimension is conceptualized as one that folds the 5th dimension to allow for 4th-dimensionally-acausal travel, or shifting, from any point to any other point in the 5th dimension, without regard for the idea of causality or "continuity". The 6th dimension is thus the phase space of physical reality — "a space in which all possible states of a system are represented, with each possible state corresponding to one unique point in the phase space".

Beyond the 6th dimension, Bryanton speculates from the perspective of the objective reality metaparadigm, might be "impossible universes" in which the "fundamental constants" are different and in most of which therefore no matter or life can exist. According to channeled sources of information presenting themselves as whispering intragalactic extraterrestrial neighbors, the phase space concept would be equivalent to the life experience that the soul creates within itself when it chooses to incarnate on the Earth plane (or on other planets). In other words, every incarnated soul has created within itself a bubble universe which contains energetic representations (versions, simulacra) of other people and co-experienced similar reality elements, all of which are co-created by pre/post-incarnational agreement in the non-physical realm of the (7th-dimensional?) souls, which exists entirely outside of the idea of spacetime and its 6D phase space.

Dimensional thinking

Thinking dimensionally is a kind of outside-of-the-box thinking useful to conceptualize vast structures within the fractal infinite creation.

As mentioned, one way to conceptualize the idea of the 4th dimension is to visualize the idea that the 3rd dimension (space) requires another dimension for its state to change. Thus the 4th dimension provides for a way for the 3rd dimension to change. From a 3rd/4th-dimensional "rational" perspective (Physical Mind), therefore, happenings appear to manifest due to physical 4th-dimensional causality (whether with free will or not, within spacetime), when they may in fact be manifesting by 5th-dimensional causality. In other words, the experience of time could actually be a 5th-dimensional experience. That is precisely what Bashar has been communicating to Humanity for 30 years — that causality, change, movement, space, and time, are side effects of one's consciousness changing state billions of times per second by shifting to one of an infinite number of already-existing parallel reality frames.

In the subjective reality metaparadigm proposed by The Biggest Picture, infinite simultaneity and therefore non-causal mechanics or dimensional causation (which for our type of reality experience could perhaps also be called 5th-dimensional causality) are derived from the Laws of Creation — the only objective Laws with a capital L that exist, according to the ontology elucidated by Bashar.

By adding the idea of dimensionality to the subjective reality metaparadigm, we avoid the necessity to invoke virtual reality as the only option, if indeed reality is subjective-only — which pioneering physicist Tom Campbell imagined/assumed is the only option when he made the realization that QM and GR mutually invalidate one of the two assumptions of an objective reality of the other.

According to this ontological metaparadigm, the vibrational resonance of the state of being of the 4th-dimensional Physical Mind is what determines what 4th-dimensional reality manifestations will be reflected by the 5th-dimensional Higher Mind out of all possible 4th-dimensionally-causal paths ("timelines" or world lines) that already exist in the dimensions above.

Orthogonality

Wikipedia defines the concept of orthogonality:

In mathematics, orthogonality is the relation of two lines at right angles to one another (perpendicularity), and the generalization of this relation into n dimensions; and to a variety of mathematical relations thought of as describing non-overlapping, uncorrelated, or independent objects of some kind.

The concept of orthogonality has been broadly generalized in mathematics, science, and engineering, especially since the beginning of the 16th century. Much of the generalizing has taken place in the areas of mathematical functions, calculus and linear algebra.

For example, water at low temperature (low vibration) is solid, at slightly higher temperature becomes liquid (more malleable, more fluid), and at higher temperature still, becomes so fluid that it moves upward, orthogonally to the surface it was previously gravitationally pulled inwards to. In another sense, humans and other land animals are 2-dimensional, in that they can move forwards/backwards and left/right; while aerial and sea animals like birds and fishes can also fluidly move up/down.

It is thus not difficult to imagine that, just as the 4th dimension (spacetime), being orthogonal to the 3rd (space), provides for a way for the 3rd to change state, the 5th dimension provides for a way for the 4th to change state (and the 6th for the 5th to change state, and so on).

Thinking 5th-dimensionally

To begin to think 5th-dimensionally will take some readjustment. It will take some readjustment time. Notice the two ways of expressing the same idea. Is it equally valid to state the idea as 'readjustment' and 'readjustment time'? One refers to the readjustment in terms of "isness"/doing, while the other refers to the time period/span (duration) within which that "isness"/doing exists/occurs. One is 3rd-dimensional thinking and the other is 4th-dimensional thinking.

So what then is 5th-dimensional thinking? It is thinking from the point of view of the Higher Mind. The Higher Mind is the 5th-dimensional aspect of the human self, the conceiver of its physical personality construct, which acts as a mirror that reflects one 4th-dimensional parallel reality frame out of an infinite number of them that exist in the dimensions above. The 5th(/6th) dimension itself can be thought of as the (non-physical) soul's physicality phase space.

When thinking 5th-dimensionally, one doesn't look (only) for the (4th-dimensional) causality of an event, but looks for the (5th-dimensional/energetic) reason for why the event happened. The question to ask is always why, and then perhaps "what's the 5th-dimensional causality of this? What's the 6th-dimensional/density causality (spirit-level mechanics) of this?"

Inanimate objects vs. life

Humans, and lifeforms in general, are already 4th-dimensional. For something to be perceived, it has to have a duration. When looking at the stars in the night sky (an infinitesimal fraction of our neighboring stars), we are looking at how those stars looked anywhere from years to thousands of years ago, depending on their size, luminosity, and distance (measured in light-years, a unit denoting approximately 10 quadrillion meters).

Sawing a pillow in half is a less dramatic event than sawing a human being in half, because the pillow is an inanimate object, apparently insentient. They are both "made of" the same physical matter, but the matter that makes up the human body is "material that is moving across temporal gradients", as Terence McKenna put it. Living things (beings; entities; systems that undergo metabolism) are in that sense 4th-dimensional. They can only truly be defined in 4th-dimensional terms, never in 3rd-dimensional terms — unlike a pillow. In some of the more accurate ontological perspectives of the East, the "outer" world is described in terms of (4th-dimensional) processes, rather than in terms of (3rd-dimensional) objects. For example, as Alan Watts explains, a Chinese child would not "learn" that "there is a tree there", but rather that "there is treeing there". Likewise, there are no people on the planet; the planet is peopling.

If we then think of free will as being shifts in the 5th or 6th dimension, i.e. changing state from one timeline or phase state to another (at a very rapid rate), then we can think of the life experience as being 5th-dimensional and 6th-dimensional rather than just 4th-dimensional. In other words, we are not just moving in 4D spacetime — in fact, according to Bashar, we are shifting from one already-existing (6D) parallel reality to the next, billions of times per second.

Dimensions in modern physics

Modern physics has succumbed to the assumption of linear time and therefore largely abandonded the Euclidean model of dimensionality for the Minkowski model, wherein the 4th dimension is of a different modality — timelike rather than spacelike:

In mathematical physics, Minkowski space, Minkowski spacetime (named after the mathematician Hermann Minkowski), or flat spacetime, is the mathematical space setting in which Einstein's theory of special relativity is most conveniently formulated. In this setting the three ordinary dimensions of space are combined with a single dimension of time to form a four-dimensional manifold for representing a spacetime.

In theoretical physics, Minkowski space is often contrasted with Euclidean space. While a Euclidean space has only spacelike dimensions, a Minkowski space also has one timelike dimension.

It's peculiar that this notion would be held onto, given that Einstein's special relativity is a theory formulated within the parameters of classical mechanics while being apparently incompatible with quantum mechanics. As Rob Bryanton points out, if the 4th dimension is of a fundamentally different modality than the dimensions below it, that seems like a rather shaky foundation upon which to postulate higher dimensions beyond the 4th:

Aren't There Really 11 Dimensions?

Rob Bryanton on M theory and the intangibility of time in mainstream physics.

Wikipedia says about the concept of five-dimensional space:

The idea of five-dimensional space is an abstraction which occurs frequently in mathematics, where it is a legitimate construct. (In physics and mathematics, a sequence of N numbers can be understood to represent a location in an N-dimensional space.) Whether or not the real universe in which we live is somehow five-dimensional is a topic that is debated and explored in several branches of physics, including astrophysics and particle physics.

In physics, the fifth dimension is a hypothetical extra dimension beyond the usual three spatial dimensions and one time dimension of Relativity. The Kaluza–Klein theory used the fifth dimension to unify gravity with the electromagnetic force. For example, Minkowski space and Maxwell's equations in vacuum can be embedded in a five-dimensional Riemann curvature tensor. Kaluza–Klein theory today is seen as essentially a gauge theory, with gauge group the circle group. M-theory suggests that space–time has 11 dimensions, seven of which are "rolled up" to below the subatomic level. Physicists have speculated that the graviton, a particle thought to carry the force of gravity, may "leak" into the fifth or higher dimensions, which would explain how gravity is significantly weaker than the other three fundamental forces.

In 1993, the physicist Gerard 't Hooft put forward the holographic principle, which explains that the information about an extra dimension is visible as a curvature in a spacetime with one fewer dimension. For example, holograms are three-dimensional pictures placed on a two-dimensional surface, which gives the image a curvature when the observer moves. Similarly, in general relativity, the fourth dimension is manifested in observable three dimensions as the curvature path of a moving infinitesimal (test) particle. Hooft has speculated that the fifth dimension is really the spacetime fabric.

This brings us beyond the "blocky" conceptualization of Euclidean space to dimensional curling. In mainstream theoretical physics within the objective reality metaparadigm, i.e. string theory, the "spacelike" higher dimensions beyond the "timelike" 4th dimension are "curled up at the Planck length", or "compactified", thus for practical purposes not relevant to conscious experience. The idea is that particles are made of indivisible/fundamental 1-dimensional "strings" that vibrate into the compactified extra dimensions.

In this video, mainstream theoretical physicist Brian Greene explains how Theodor Kaluza formulated Einstein's theory of Relativity in a 5th-dimensional space (rather than 3D/4D Minkowski space) and postulated that electromagnetism can also be thought of as a bending force. Kaluza's idea, the Kaluza-Klein theory, was ignored out of mainstream science by the 1940's, Greene says, but Greene and some others have pursued this as one of the few avenues that might advance the understanding of physics in the objective reality metaparadigm — thus giving birth to string theory.

So yes, the excitement is still high, it's just as Lawrence [Krauss] is saying: there is a long road to walk, and it's not always that you're gonna have a breakthrough after breakthrough after breakthrough. There are long periods where you're working in the dark and you just don't know if you're gonnna find anything.

Brian Greene

Periods as long as 90 years, it appears. Maybe the metaparadigm is incorrect, because the ontological starting point was incorrect?

When all obsessive group-consciousness on Earth is finished, exhausted, when it admits defeat, then a different era will emerge. But for now, we are in the middle of the collective experiment. High-flying cloying sentiment, profound dependence on others, covert repression—these are the order of the day.

How long until the collective age is over? A hundred years? A thousand years? The answer is, as long as it takes for every human to realize that the experiment has failed, and why. The why is clear—the individual has been overlooked. He has been demeaned. He has been grabbed up and drafted into groups. His creative power has been compromised in order to fit in.

The majority of the world still believes in this approach, as if from good groups will flow the ultimate and final solutions we have all been seeking. This is sheer mind control, because good groups morph into evil, and vice versa, in the ongoing stage play called reality.

Ideals are twisted, infiltrators subvert plans, lessons are ignored, and the whole sorry mess repeats itself again. What constituted a triumph of good over evil at one moment is guided into yet another collective, whose aims are “a better kind of control.”

The most deluded among us believe we are always on the cusp of a final breakthrough. But there is no “we” to make the breakthrough. It comes to every person on his own. And it does not arrive as the thrust of an external force, but from one’s own struggle, accompanied by insights for which there is no outside agency to lend confirmation.

Jon Rappoport

In the subjective reality metaparadigm, on the other hand, the simplicity of the Euclidean model serves as an informational framework within which one can conceptualize the idea of densities.

Dimensions and densities

A metaphysical, wholistic alternative idea to "timelike" dimensions (and compactified dimensions above that) is that of frequency levels or densities (or octaves, or harmonic levels, borrowing from the musical concept — sound being also fundamentally vibration). The higher the frequency, the more information is accessed, in an exponential fashion. Thus, cross a certain frequency threshold and you will be entering the next dimension.

You could look at the idea of dimension, in a sense, as a country, and density as states within that country. You can have the idea of 3rd density and 4th density within the physical 4th-dimensional spacetime reality. Coincidentally, when you cross from the idea of 4th density to 5th density, you will actually also simultaneously be crossing into the 5th dimension. [...] You are going from 3rd density into 4th density, but you will remain in physical reality as a species for about another thousand years or so.

Bashar

So densities are frequency levels of consciousness (energy levels), while dimensions are information realms/levels — information which flows from higher to lower dimensions, which is experienced at different realms/levels of consciousness (densities). Dimensions are the informational framework within which consciousness experiences itself at different densities. The conceptual construct as described above using the point-line-plane postulate is based on Euclidean geometry, and is not necessarily a precise description of the structure of existence. With this subjective reality metaparadigm model of dimensionality, it's easy to imagine a force such as gravity bending spacetime without it needing to be distinguished as either spacelike or timelike — if indeed everything exists here and now (the 2nd Law of Creation according to Bashar — the idea of simultaneity).

Bashar further explains the difference between dimensions and densities:

Bashar - 3rd 4th 5th Dimension, Choosing Future & Past Lives Consciously

Bashar speaks on how we are moving out of 3rd density and into 4th density and how we can be able to conscioulsy choose our past and future lives in the higher dimensions since time will become non-linear.

Dimensions and Ascension

The idea of Ascension is the transition from 3rd density experiential reality to 4th density experiential reality, both of which are experienced as a 4th-dimensional spacetime framework, but which are really happening in a 5th/6th-dimensional framework. This idea accounts for free will in a wholistic, quantum sense of a physical phase space that the non-physical aspect of the self, the soul, creates from non-physical reality (6th/7th density).

The higher-dimensional aspect of the human self that we confuse with an "external world" in the objective reality metaparadigm — the Higher Mind — exists in the higher causal realm of the 5th dimension, and is what generates the reality the Physical Mind (the 4th-dimensional aspect of the human self which has a personality construct) experiences, based not on 4th-dimensional causality but on the higher-dimensional causality of the vibrational resonance of the (emotional) state of being. This idea is what is recognized (often without the idea of higher dimensions) as the Law of Attraction.

From a 5th-dimensional perspective, the idea of Ascension represents the "positive" evolution of human consciousness from 3rd to the higher densities (both experienced as a 4th-dimensional framework in a 5th/6th-dimensional framework) — while the "negative" timelines are represented by the idea of technocratic transhumanism under the control system under the objective reality delusion.

Higher-dimensional physics

Simply adding one dimension beyond the 4th (spacetime) seems to solve many riddles and connect many dots of scientific understanding. For example, as Rob Bryanton points out, when James Clerk Maxwell's equations describing electromagnetism (the "second great unification in physics", after the first one by Newton) are resolved at the 5th dimension rather than the 4th — as elucidated by physicists Theodor Kaluza and Oscar Klein, and later accepted by Einstein — general relativity "falls out of it" serendipitously.

This idea may also help reconcile Maxwell's equations with Walter Russell's differing understanding of electricity and magnetism. Maxwell's equations as they are used in modern physics are actually "streamlined" reductions of his original equations. As researcher Richard Hoagland puts it:

[T]he four surviving "classic" Maxwell's Equations — which appear in every electrical and physics text the world over, as the underpinnings of all 20th Century electrical and electromagnetic engineering, from radio to radar, from television to computer science, if not inclusive of every "hard" science from physics to chemistry to astrophysics that deals with electromagnetic radiative processes — never appeared in any original Maxwell paper or treatise! They are, in fact, "Heaviside's equations"!

Lest anyone doubt this is the case, they merely have to read a highly revealing paper on the subject by another renowned British mathematical physicist of this century, Sir Edmund Whittaker, titled simply "Oliver Heaviside" (Bulletin of the Calcutta Mathematical Society, Vol. 20, 1928-29, p.202); or, another overview of Heaviside by Paul J. Nahin, "Oliver Heaviside: Sage in Solitude" (IEEE Press, New York, 1988, p.9, note 3.).

The end result was that physics lost its promising theoretical beginnings to becoming truly "hyperdimensional" physics ... over a century ago ... and all that that implies.

[...]

Quantifiable "geometric spatial distortions" ... the exact marriage of hyperspatial geometry and field theory that Kaku and others mistakenly believe (because they're basing their analysis on Heaviside's surviving vectorial version of Maxwell's original "Equations") is totally missing from this greatest achievement of 19th Century physics!

Richard Hoagland

Hoagland suggests that various astronomical "anomalies" can be explained with hyperdimensional physics. Likewise with the UFO phenomena.

These ideas seem to serve as strong indications that indeed higher dimensions are the key to understanding reality as subjective-only without having to invoke the idea of VR (as subjective reality metaparadigm pioneer Tom Campbell assumed was necessary).

The multiverse as higher dimensions

This may seem laughable, but without the multiverse our finest theories predict that empty space should contain about 10123 times more energy than it actually does. This is known as the “cosmological constant” or “dark energy” problem. It has been called the “worst prediction in the history of science” and the “mother of all physics problems”.

Raphael Bousso, string theorist

In order to be able to explain the cosmological constant without needing to postulate a multiverse, physicist Egg Copeland, like Rob Bryanton, suggests a 6th-dimensional model of spacetime(/experience):

The Sixth Dimension - Sixty Symbols

Continuing a week of egg-themed physics (for Easter 2011), Professor Egg Copeland discusses a theory which relates to the cosmological constant.

As Rob Bryanton points out in his Imagining the Seventh Dimension (embedded below), the idea of the multiverse has been equated with the Many-Worlds Interpretation (MWI) of quantum mechanics, which is the QM interpretation that lays the foundations for adding higher dimensions — the "other worlds" that are not experienced existing orthogonally (at right angles) to spacetime, i.e. in the 5th dimension. Tom Campbell sees the MWI as too complex, too unparsimonious — but when adding dimensions that are each orthogonal to the dimension below, such complexity seems to no longer look that complex.

Imagining the Seventh Dimension

The dimensional number (7th) is not so relevant in this context, but rather Bryanton's discussion of the four types of multiverse ideas that have been proposed. Bryanton's conceptualization of the 7th dimension and above, while tremendously mind-expanding (which dimensional thinking is), is based on the assumption of unchanging physical constants given an initial singularity — one of the fundamental assumptions of science in the objective reality metaparadigm.

Dark matter and dark energy

Wikipedia defines the ideas of dark energy and dark matter:

In physical cosmology and astronomy, dark energy is a hypothetical form of energy which permeates all of space and tends to accelerate the expansion of the universe. Dark energy is the most accepted hypothesis to explain the observations since the 1990s indicating that the universe is expanding at an accelerating rate. According to the Planck mission team, and based on the standard model of cosmology, on a mass–energy equivalence basis, the observable universe contains 26.8% dark matter, 68.3% dark energy (for a total of 95.1%) and 4.9% ordinary matter. Again on a mass–energy equivalence basis, the density of dark energy (6.91 × 10-27 kg/m3) is very low: in the solar system, it is estimated only 6 tons of dark energy would be found within the radius of Pluto's orbit. However, it comes to dominate the mass–energy of the universe because it is uniform across space.

Dark matter is a kind of matter hypothesized in astronomy and cosmology to account for gravitational effects that appear to be the result of invisible mass. Dark matter cannot be seen directly with telescopes; evidently it neither emits nor absorbs light or other electromagnetic radiation at any significant level. It is otherwise hypothesized to simply be matter that is not reactant to light. Instead, the existence and properties of dark matter are inferred from its gravitational effects on visible matter, radiation, and the large-scale structure of the universe.

According to Bashar, dark matter and dark energy is simply where the Prime Radiant — the one "particle" moving at infinite speed — crosses itself less than regular matter, thus being less dense — less crystallized:

Bashar on the Big Bang and the Prime Radiant

It probably really is as simple as that.

Videos that help visualize dimensionality

Drawing the 4th, 5th, 6th, and 7th dimension

The 4d cube/tesseract rotation, perspective projection, unwrapping from 4d to 3d and wrapping back to 4d.

Hypercubes

Hypercubes, starting from dimension 0 up to dimension 6

Hypercube rotations for dimension 0 up to 6 (point, line, cube, tesseract, penteract and sexteract). No extra transformations were applied, just rotations.

Mind teasers

  1. Z-Rox, a 1-dimensional thinking game.
  2. Flatland: The Film (2007), a mind-bending 2-dimensional animated film (with a 1D and a 0D scene!), based on the 1884 novella, Flatland: A Romance of Many Dimensions by Edwin Abbott.
    Notice how the authoritarians "attend to their configuration" (which is extrinsic/imposed), while the anarchists "attend to their chromatization" (which is intrinsic/natural). Quite clearly, the authors' intention was not only to explain the idea of dimensionality, but also dogmatism and the authority superstition that generates war (notice the characters Monarch of Pointland, King of Lineland, President of the southern republic of Flatland, and democracy and war happening on all dimensional levels at least up to Spaceland).
  3. Blockout, the logical extension of Tetris into the third dimension. A 1993 study found evidence (i.e. solidified the permission slip) that playing Blockout improved the spatial visualization ability of 10- to 14-year-olds.
  4. List of four-dimensional games.

Dimensionality models

Borrowing from Rob Bryanton's phenomenal idea of the 6th dimension being the phase space for physical reality, a basic dimensionality model in the subjective reality metaparadigm looks something like this:

Dimensionality model of the subjective reality metaparadigm v1.0