-: Y :-
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- y-*
- stations
The prefix used to refer to Gosset honeycombs. These have 9-n stations,
marked as a polygon. The four dimensional case is the same as the t-
honeycomb, but the stations are in pentagrammic order.
- y-gossett*
-
The primary gosset-honeycomb, having an efficiency of 1/sqrt(9-n) q-units.
In 3-8 dimensions, these are: triangle-prisms, 4D=t-basic. 5D
q-semicubic, 6D 4B1 = 2_22 , 7D 6C= 3_31, 8D 7B= 5_21.
- y-station
-
The 9-N vertices of the fundamental region, where the point reflects to form
the y-gosset. The order of these is polygonal. For 2D, this is the centre
of a triangle of edge 1,r2,r2, for the 3D, the hexagon is a zigzag around
the squares of a triangular prism, for 4D, this is the pentagrammic order of
the t-stations.
- yickle *
-
A spear through laminae to hold it thogether.
Yickle is an old english
word meaning spear: it is still seen in ice-yickle = icicle.
For example, a layer of hexagonal prisms would be an intersection of
layers and hexagonal columns. The hexagonal column would be a yickle.
Note for yickles to form, the cell must have vertices on more than one
face of the layers.
The layers and yickels in the regular tilings {4p,4} are of the same
shape. In the case when p=1, this gives rows and columns of the square
tiling.
- yickloid *
-
A figure with unbounded surtopes of a fixed dimension. In Euclidean
space, one can effect this by way of a product of a finite polytope and an
infinite space, eg a pentagonal column.
In hyperbolic space, there are spaces where several different infinite
spaces bound.
For example, one can form a yickle by taking alternate edges of an octagon
of {8,4}. This produces the equivalent of stripes, except that there are
four-way junctions at each octagon. Such a yickle can form a face of a
structure, made of truncated cubes. The same truncated cubes form 'layers'
or a laminahedron, bounded by {3,8}. In four dimensions, these laminahedra
become faces of a yickloid, formed by a subsection of {3;4;3}, eg as might
belong to the same figures of {3,4,3,8}.
Yickloids replace the notion of strips and stripes in hyperbolic space.
- yottix
-
An eight-dimensional manifold: see hedrix
- yotton *
-
A mounted 8d polytope, or a 8d 'hedron'
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