This is a wire frame model 3D-printed or made from
matchsticks. At the centre is a small solid sphere
coloured
matt black to represent the event horizon of the
singularity. The wires are of two types: equi-spaced
straight lines radiate from the event horizon
perpendicular
to its surface
in the direction of the pull of gravity, and
spherical Buckminster-Fuller geodesic shells surround and
are concentric with the event horizon.

In a manner analogous to the way in which a line contour
on a two dimensional map joins and indicates those
positions on the map where the variable plotted has a
certain specific value, the shells represent the surfaces
in
space where spacetime has a certain value of curvature.
The radius of the shells increases in such a manner that
the spacetime
curvature decreases by a defined amount between shells.
The radiating straight lines intersect with the geodesic
spheres at suitable vertices to fix the spheres in their
places.

The inner shells and the inner segments of the radiating
lines would be painted red graduating via the other
spectral colours to the outer blue, to depict the red shift
experienced closer to the event horizon.

Calculating the actual model geodesic shell radii is
completely beyond my abilities, sorry.

The "orrery" part could be the equatorial accretion disc.

Quasar emission from the rotational axis would be excellent.

Given the fearsome gradients imposed by the Schwartzschild radius,
physical scaling to maintain authenticity may be problematic. Thou
shouldft applye thyfelfe untoe thie Hofue of Profeffor Steffen Hawking,
whereat 'tis faid thatt knolledge of fuch thingies mae by hadde.

Thanks [pocmloc], I know and there is also another
problem; an orrerey represents the solar system, not
a black hole. I should have put it in a less trendy
category with a more mundane title. but I am glad
you like the concept.

// an orrerey represents the solar system, not a black hole

Well, surely a black hole was a sun, and who's to say that there isn't somewhere in the universe a black hole being orbited by other teeny black holes?

Could 'iso-spacetime-curvature surfaces' therefore
be used to depict the spacetime field a
associated with a pair of orbiting black holes as MB
suggests? The second black hole would distort the
geodesic frames surrounding the first black hole in
a certain way.

Could such a 3D printed model framework perhaps
also be used to visualize electric fields around
charged objects, where the radiating lines depict
the direction of the maximum voltage gradient and
the 'Onion layers' depict voltage? Imagine for
example a figure of a person arms aloft and legs
akimbo with a tracery of lines radiating and
encircling the mannequin?