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- q-*
-
Used to refer to figures having the symmetry of the cubic tiling.
The tiling has four stations, which are represented by
a square. In the list below, the square has been unfolded.
- xooo q-semicubic
- xoxo q-cubic = vertices of cubic tiling
- xxoo q-quarter-cubic
- xxxo q-sesqui-cubic = vertices of double-cubic tiling
- xxxx q-double-cubic
The stations correspond to these positions.
- xooo integers with even sum
- ooxo integers with odd sum
- oxoo integer-halves, integers with even sum
- ooox integer-halves, integers with odd sum.
- q-unit*
-
A measure of efficiency of packing spheres. The unit represents the
number of spheres of diameter √2 that can be placed in a unit cube.
For the principle trigonal lattices, e efficiency in q-units corresponds
to 1/√s, where s is the number of stations.
The name derives from the q-quarter-cubic, which in eight dimensions and
higher, has an efficiency of 1 q-unit.
- quantum *
-
It is possible to regard the regular polytopes as quantum objects: that
is, as standing waves over the surface of a sphere. It is in this way
that one can demonstrate that only certian solutions are allowed, and
that others, like {4,5/2} would leak in places into a non-quantum
group.
Nothing in the nature of the Schlaffli symbol {p,q} renders it
without meaning where p and q are reals.
However, it is often necessary to resort to number-theory to show
that certian things close sparsely.
- quasi *
-
This means as if or also. The word gets overused.
quasitruncated: use alttruncate, since this is the alternate solution.
- Quasicrystal *
-
A periform slice of a peicewise finite lattice. In practice, the angle of
the slice forces non-periodicalness, and even 'jaggedness' leading to
local periodicness of fragments, but no large-scale periodness.
- Quasi-Infinity *
-
As if at infinity. In practice, the extent is larger than the area of
interest, A road, finite as it is, might be said to stretch to quasi-infinity.
The usual style is to mark such by a gentle s-curve along the margin
that bounds quasi-infinity.
- Quasiplatonic *
-
A figure that is both edge-uniform and margin-uniform
without being regular, or a product of lesser figures. While the combs of Euclidean tilings
are quasiplatonic, they are normally not counted, as such.
An example of a quasiplatonic figure is the hyperbolic tiling of octagonny
o3x4x3o, 64 to a vertex, and its dual tiling of bi-octagon prisms, 288 (twe: 248) to a
vertex.
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