This is a complete misconception of platos world view. First of all, the platonic field is due to the modeling of the orthographic projection of the annular cycle.... the noontime code of the Analemma, as given in timaeus. The immaterial signature of the analemma, is the data gathered from a gnomic instrument on the actual ground where the shadow as projection of the earths cycles, falls. It is immaterial and does not exist in and of itself, but constitutes the projection of the relation between a luminous body -sun and a reflective body -earth.
All gnomic signatures be they the projected record of tge camera effect of light or the image from a micrograph or mri, are phenomenal signatures recorded from the INTERACTION of these two forms of matter. Luminous and reflective.
Platos system IS REALISM.
IF SOMETHING EXISTS be it luminous or reflective, it can be recognized as a vibrational frequency and registered somewhere on the spectrum of "octaves" known as em spectrum and modelled according to a method which transforms the embeddedness of all things as a means of making it, the spectral analysis of relations between things, simpler to work with.
Arguably even the immaterial signature of the relation between two things that exist, exists...... but its phenomonal for example, the topology of the way light grates on the surface of the planet over the course of the yearly cycle, or the camera effect of light.... or how light generates patterns as it falls inside a hemisphere bowl forming cissoids, neusis, concoids..... conics..... optics.
So when speaking of platonic space, you are then talking of the structural attributes of the complex isodual matrix RULED from the model of the SIGNATURE extremes BEING THE NOONTIME POINTS OF THE LINGEST AND SHORTEST DAYS OF THE CYCLE.... and all that comes from it.
This is UNITY that connects all disciplines, arising from a single MODEL of the most basic cosmic relation. It informs all EM and harmonic theory. It informs all crystallography, zoology, histology, conchology ..... it is a physically actualized world of complex interrelationships
And our primary geometrical method which at its root, is the modelling of "elementary propositions" of wittgensteins logic, being these immaterial signatures that exist apriori.....
Is the "eye of god" structure that constitutes two interlocked spheres whose shared radius is enclosed by tgeir centers that signify the two solstices. ...... a fractal structure that infers a complex non dual monadology ...... and this base structure from which all shapes and forms may be constructed, is present in structural form of the hadronic bond and in Stella nebula.... it is found everywhere.... meaning our planets axial tilt, offers up an exceptional gift, that informs a complex technology known as geometry.