i found (surely not first) that when one takes a parallel projection of 4-cube into 3-space that is vertex first and gets a rhombic dodecahedron (that Kepler found when trying to break the secret of the morphogenesis of snowflakes for czech then-king Karol IV) with 4 diagonals of a cube inscribed in it, corresponding to the 4 axies being projected from 4space.this is the same shape as the one that bees use to waxbuild their bee-homes and the angles between the axies are the maraldi angles that all bubbles hold when not alone.
but, this shape packs the 3 space as the 4/cubes pack the 4-space. so projection of spacefilling 4cubes into 3space gives a lattice that has 4 axies through each point, which is the double of diamond carbon-structure lattice.
to get to the point: one can erase or pick out from this spacefilling mass of rhombic dodecahedrons in such a way that there's left one surface that divides the 3 (and supposedly also 4) space into 2 equivolumetric sphonges, interpenetrating through each other.
my question is this: are there any other sphonge-yielding space-fillings in 4d ?
this is to me connected with question of: what amount of anglemeasure is there around a 4vertex ? around 2vertex it is 360, around 3vertex it is 720 according to wendy, but i don't get it (or is each 360 an I2 and both are simply connected along the infinity/horizon so it adds up ?). anyway how much(and what kind of) angular measure is there around a 4-point ?