The Co-planing Cubodal Wheel

The vertical-axis wind generator evokes yet another application of the bodal wheel – a free artifact in which the central hexagonal plane parallels the surface traveled upon.

Cubodal Disc Orientation

Surfaces that this disc co-planes with may be as varied as the water’s surface, subsea thermoclines, atmospheric layers, and gravitational potentials in outer space. In the realm of its operation, the bodal disc is a dynamic entity in which rotation is often only to change direct ion.

Because the disc is merely an orthogonally re-oriented bodal wheel, its structure draws somewhat from a re-oriented transport template. The difference is that the disc’s template isn’t neutralized with a hexagonal shift and thus it does not generally feature a hexagonal expansion.

Hexagonal Disc Expansions

However, the HXP may be employed internally if on either axial end the bode structure meeting it is hexagonally shifted. The HXP may also be implemented externally if divided into even number sections. In either case, the dynamism of the disc as a whole is preserved.

The simplest application of the disc is as a satellite. In such case the paralleling surfaces are the orbital planes posed by the geocentric cuboda, or if you prefer – the macrocosmic wheel. So conceptualized, there are 2 polar and 2 subtropical planes.

The Basic Disc Satellite

Proof pending, I will go out on a limb and state that the disc orientation poses the maximum moment of inertia of the bode’s 4 basic axial possibilities, and is thus one of the 2 optimal orientations for attitude control. Please correct me via the contact info in the sidebar or in the comment section if I am wrong.

Of all the bodal wheel applications, the satellite comes closest to conforming to the bode’s hard-edged external framework and planes because 1) there is no human habitation, and 2) there is no fluid body like an atmosphere to contend with.

However, and this applies to all bodal wheels, the disc may manifest in other basic forms that express the bode in some way. As a double conical form, it can be shaped by the sloping triangles, squares, or the lines shared by them.

Conical and Ellipsoidal Disc ExpressionsThe disc also has ellipsoidal expressions. The fact of having 2 foci can be viewed as expressing dynamism. One is defined by circles inscribed in the outer triangular layer and circumscribing the bode’s central hexagon that is especially expressive of the bodal wheel and disc.

I don’t like applying bodal angles to elliptical curves as their key points are 0° horizontal and 90° vertical only. However, the angles can be applied – reasonably, I believe – from the focal points to the curve.

Cuboda-guided Elliptical Foci

As such, the edge common to the disc’s triangle and square, and that is only defined with rotation, poses a kind of middle average and symmetry that can be manifested as an ellipse of modest eccentricity. The dual angles of the wheel’s sloping square and triangular planes yields a more pronounced ellipse that is expressive of the wheel’s asymmetry.

Use of both is made possible by the basic attributes of the ellipse: it is naturally bisected along either of its axes to allow vertical extension or transverse expansion or both with the extending or expanding forms being cylindrical.

Ellipsoidal Satellites

This feature enables dueling ellipsoidal proportions to fuse in a hybrid. Alternatively, The 2 different half ellipsoids may be joined along their major axes to grant a preferred axial direction. Finally, the bisection allows for toroidal forms with elliptical cross-sections.

Of course ellipsoidal expressions may be structured with bodal planes Either or both the static housing and dynamic rotating element should manifest the bodal disc’s asymmetric attribute to exhibit a dynamic resonance between them.

Cubodal Wheel Asymmetric Rotor and Housing Resonance

I have digressed. This matter should have been addressed long ago in Rolling Transport when the bodal wheel was introduced so that when it is referenced perplexity doesn’t ensue for curious visitors over an abstraction that at first glance isn’t circular and obviously won’t roll. But better late than never. Next up the bodal disc is modified to give it a preferred direction.

This entry was posted in Code Application, Code Derivations, Code History, Contemporary Relevance, Polytechnic Integration, Rolling Transport, Wheel Extrapolations and tagged , , , , , , , , , , , . Bookmark the permalink.

Comment

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s