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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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© 2003-2009 Wendy Krieger