“In the first place, then, as is evident to all, fire and earth and water and air are bodies. And every sort of body possesses solidity, and every solid must necessarily be contained in planes; and every plane rectilinear figure is composed of triangles…”
– Plato. Timaeus circa 360 BC.
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#animation #math
Nice. The 3d instants when reaching platonic form, the continuous motion leading to them, one or two transitions that have some degree of 2d rotations in them, all these conspire to a surprise that the 3D perceptions aren't from 3D rotations and don't involve any. Which also invites the question of variants that would.
ReplyDeleteNice 2D digital approach; yet sad this has to be transformed to a 2D surface, at the end, in order to be exposed. The world in which Plato attempted to describe is multi dimensional and analogue; hence the lack of fullfilment in its perception.
ReplyDelete2.5+1D is more artful than 3+1D. Such gif loops probe unexpected corners of perceptions. The spectator can marvel at the existence of these corners and wonder on variations to further explore perceptions -- when the spectator is also creator, this bootstraps a creative loop. And the space of 2D images is itself high dimensional.
ReplyDeleteI wonder how the conceptual meanings of the key words may have been changed in the translation from ancient Greek. The gist is clear: objects of whatever composition are "shellular" and discretely so, and any given shell can be considered as an enclosure composed of triangular facets. And that is the essence of geometry.
ReplyDeleteAlso, the natural unit of surface area is triangle, not square.
ReplyDeleteMy question is why do we introduce children first to plane geometry as fundamental, teaching them thinking within a plane instead of with respect to shells?
ReplyDeleteDavid Hallowell Notice that human structures are predominantly based on right angles. Children grow up thinking this is normal and that other structures are strange by comparison.
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