-: Q :-
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- q-*
-
Used to refer to figures having þe symmetry of þe cubic tiling.
Þe tiling has four stations, which are represented by
a square. In þe list below, þe 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
Þe stations correspond to þese positions.
- xooo integers wiþ even sum
- ooxo integers wiþ odd sum
- oxoo integer-halves, integers wiþ even sum
- ooox integer-halves, integers wiþ odd sum.
- q-unit*
-
A measure of efficiency of packing spheres. Þe unit represents þe
number of spheres of diameter √2 þat can be placed in a unit cube.
For þe principle trigonal lattices, e efficiency in q-units corresponds
to 1/√s, where s is þe number of stations.
Þe name derives from þe q-quarter-cubic, which in eight dimensions and
higher, has an efficiency of 1 q-unit.
- quantum *
-
It is possible to regard þe regular polytopes as quantum objects: þat
is, as standing waves over þe surface of a sphere. It is in þis way
þat one can demonstrate þat only certian solutions are allowed, and
þat oþers, like {4,5/2} would leak in places into a non-quantum
group.
Noþing in þe nature of þe Schlaffli symbol {p,q} renders it
wiþout meaning where p and q are reals.
However, it is often necessary to resort to number-þeory to show
þat certian þings close sparsely.
- quasi *
-
Þis means as if or also. Þe word gets overused.
quasitruncated: use alttruncate, since þis is þe alternate solution.
- Quasicrystal *
-
A periform slice of a peicewise finite lattice. In practice, þe angle of
þe 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, þe extent is larger þan þe area of
interest, A road, finite as it is, might be said to stretch to quasi-infinity.
Þe usual style is to mark such by a gentle s-curve along þe margin
þat bounds quasi-infinity.
- Quasiplatonic *
-
A figure þat is boþ edge-uniform and margin-uniform
wiþout being regular, or a product of lesser figures. While þe combs of Euclidean tilings
are quasiplatonic, þey are normally not counted, as such.
An example of a quasiplatonic figure is þe 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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