The Alan Sondheim Mail Archive

December 15, 2015


Uncanny Worlds of Dimensions among Open Sets

http://www.alansondheim.org/ghosttracks1.jpg
http://www.alansondheim.org/ghosttracks2.jpg
http://www.alansondheim.org/ghosttracks3.jpg

Falling asleep, insomniac, hysteric-depressive, coming into
play and form, I work among uncanny objects, misted spaces;
ghosttracks1, continuous paths among octahedra and other shapes
in which upper and lower polygons are connected by triangles,
how to do this among them, examples octahedra, beautiful paths
and side tracks; ghosttracks2, continuous octahedron tracking
with bypassing, side tracks as if afterthoughts, towards an
otherwise incomprehensible view, these circulations continuing
night after night, polyhedra glimmering across nebulae, the
faintest glimmer of stars; ghosttracks3, the most elaborate,
sets of dimensions 0, 1, 2, 3, each sweeping across the next
highest, i.e. n sweeps n+1, each half an n-sphere whose
n-1 boundaries are closed, whose n boundaries are open,
a point and then a ray, a ray and then an open disk, a lune
and then a half-sphere, object with only one each of 0, 1, 2,
3, flats bounded by n-1 disks, of all elements only 4, cuts
and slice, interiors and exteriors, the breathings of open
sets, beating of closed boundaries from the sides of them, as
if there were bridges to cross, one each of everything in the
world that is the world; and there are other, more complex
shapes and dimensional constructs, where were we in the fogs,
so many ghosts and tracks, slippages, memories, instrusions
as of quartz among phyllite, and the memories of quartz and
phyllite, calming, luster, indescribable sheen, hypnagogic,
memories of childhoods among nebulae and the birth of stars
...

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