In compliance with the geometric definition for dimensions, if anything moves at right angles to; perpendicular from the 4th Dimension (of matter), then whatever that something is, is also the 5th Dimension. Indeed, something does move at right angles out of 4-D matter - that something being electricity, therefore, electricity is the 5th dimension. In turn, whatever may move at right angles to the 5th dimension of electricity, is the 6th dimension - that being magnetism. That is to say, electromagetism moving out of 4-D matter, is 5 and 6 dimensional.
After Maxwell we learned of the existence and especially the structural quality and dynamics of the electromagnetic field ( Illustration 9). The matter (particle, electron, neutron, proton, mass-point) at the center, generates the apparent and familiar spider-web pattern of radiating electromagnetic field energy projecting omnidirectionally from its center source (matter generates electricity and gravity proportionate to its - the measured source's - given mass value; size, density). (Re: Google 'spider webs', and 'the spider's web Part II', drawing by Ben Prins, annotated by Bill Amos.)

With the spider at the center representing the field-generating particle (charge of electricity having no distinct boundaries, growing increasingly dense as you approach its center; having no surface, separating it from <but rather diffusing into> surrounding space) at the source of Maxwell's omnidirectionally projecting electromagnetic field.
(*Note also: 5-D electricity moving at right angles out of 4-D matter; 6-D magnetism moving at right angles to the 5th D of electricity. This identification of previously unrecognized dimensions 5 and 6, is clearly and non-mathematically explained and proven on pages ~ and ~ herein.)
Prior to this time,
Michael Faraday had already recognized the existence of some force originating in material bodies and projecting out of them across Space - but he had also considered this ' force' to be static; that is to say, 'non-expanding' (pre Field Physics).
Moreover, Faraday had no idea of the structure and/or shape/ pattern of the electromagnetic field.
Maxwell, on the other hand, proved that electromagnetic fields possess a characteristic and predictable shape and intensity ('field density') in (Classical) Space & Time, and are projected continuously and omni-directionally outward from their alleged 3-D 'particle' sources at a finite velocity; that being 186,282 m.p.s...
Along Came The Untangled Weave, Warp & Woof. Creating an interestingly similar pattern; as that structural transverse projection, so characteristically like a spider-spun web
(A natural expression of the inverse square law; projected omnidirectionally from its source; uniformly more dispersed with distance)...
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Specifically, we learned from Maxwell that something does in fact move at right angles out of (4-D) matter, and that 'something' is electricity. Therefore Electricity Is The 5th Dimension. Again, in compliance with the geometric definition for Dimensions, if any measurable entity moves at right angles from/to the 5th - whatever else it may be: it is also the 6th dimension. Indeed. Something does (*invariably) move at right angles to/perpendicular from 5 dimensional electricity, and that something is magnetism. Therefore, magnetism Is The 6th Dimension. (*Electricity and magnetism - until further notice - always accompany one another; at right angles. Bumper to bumper and side by side.) Of course, in order to recognize and identify The 5th & 6th Dimensions Of Electricity & Magnetism, one must first of all acknowledge and recognize The 4th Dimension of expanding Matter & accelerating Gravity. From which is projected the 5th and 6th physical dimensions of electromagnetic reality: Acting at a distance across space; projecting the law of the inverse square; at the speed of light; 'just like gravity.' In fact, finding gravity and electromagnetism to be, in every sense of the word, one and the same: a unified field. We may - presently opportune to - know, gravity on earth is caused by the electromagnetic 4-Dimensional acceleration of Matter. This generates a mechanical pushing or repelling force on or near the surface of major gravitational masses (such as planets); as clarified within Einstein's elevators of The General Principle. But, how does this account for action-at-a-distance across Space; generating atmospheric, oceanic and terrestrial tidal effects for example, and sustaining the orbiting of the planets? *Why don't their orbits collapse? Why don't they all (stellar objects, galaxies, stars, et al) collapse upon and/or collide with each other, through mutual gravitational attraction? (As Isaac Newton himself asked, and openly considered to be the major unresolved flaw in his own revolutionary system... *Two and a quarter centuries later, Einstein resolved Newton's problem with the Cosmological Constant - a repelling force paralleling conventionally perceived gravity, but acting in the opposite direction... Paralleling the vector of a positive charge; in contrast to the impelling force generated by a negative charge.) The answer to Newton's question is not in the 4-dimensional MassField gravity, on or near the surface of expansively accelerating material systems - but rather the 5 & 6 dimensional ElectroMagnetic field generated by and projecting at right angles from material - 4 dimensional - sources (particles, charges; systems of same). That is to say, material bodies on or near the apparent surface of matter are gravitationally influenced to 'fall', or remain (mechanically-inertially / direct-contact/surface-to-surface) pinned against the earth's 4-Dimensionally accelerating surface. On the other hand, action-at-a-distance - specifically tidal effects and the orbiting of planets & moons - is gravitationally motivated by the 5th & 6th Dimensions of electricity and magnetism, respectively. Another way of realizing this is, when you are near and above a large 4-dimensional MassField, you fall, until your orbital vector 'outweighs' (transcends) the influence of gravity. Then your orbit is permanent; that is to say, you do not fall back to earth, but rather, around it. Having gone ballistically orbital.