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Order-4 24-cell honeycomb honeycomb
In the
geometry
of
hyperbolic 5-space
, the
order-4 24-cell honeycomb
honeycomb
is one of five
paracompact
regular
space-filling
tessellations
. It is called
paracompact
because it has
infinite
vertex figures
, with all
vertices
as
ideal
points at infinity
. With
Schläfli symbol
, it has four
24-cell
honeycombs
around each
cell
. It is
dual
to the
tesseractic honeycomb honeycomb
.
Related honeycombs
It is related to the regular
Euclidean 4-space
24-cell honeycomb
,, as well as the
hyperbolic
5-space
order-3
24-cell honeycomb honeycomb
,.