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Its vertex figure, being found at the end of 2025 by a discord member calling himself "planetN9ne", is just an external blend of a x3o5f and 12 of5oo&#q. Surprisingly both of these have a common circumradius of sqrt[5+2 sqrt(5)] = 3.077684, which thereby makes it usable as a vertex figure, the one of this hyperbolic honeycomb.

That very vertex figure, ((xV3oo5fo))&#zq, by the way is nothing but the the mid-section of the ike-first oriented rox, which thus a posteriori explains that said property of common circumradii. And this moreover was how "planetN9ne" found it.

As such this hyperbolic honeycomb happens to be a lamina-truncate of a partially Stott expansion, in fact of x3o3o5o5*a (having x3o5f for verfs) with adjoined layers of x x5o5o (having of5oo&#q for verfs). It happens here, while the pepats of the former have not the same curvature, that the mid-prism manifolds now allow for a mirroring in the sense of lamina-truncates. While both these components are hypercompact, because they contain that bollocell pepat each, this interlaced honeycomb however now happens to become compact again. This is because it clearly is convex and all its cells, and its vertex figure too, remain finite elements of spherical space. In fact this effect therby simply happens because those fomer bollocells, by means of the here interlaced honeycomb prism, now become mere sectioning facets (i.e. pseudo elements) in here only.

Incidence matrix according to symbol extension

(N → ∞)

 N |  60 12 |  60  60  60 | 20 30 60
---+--------+-------------+---------
 2 | 30N  * |   2   1   2 |  1  2  2
 2 |   * 6N |   0   5   0 |  0  0  5
---+--------+-------------+---------
 3 |   3  0 | 20N   *   * |  1  1  0
 4 |   2  2 |   * 15N   * |  0  0  2
 5 |   5  0 |   *   * 12N |  0  1  1
---+--------+-------------+---------
 4 |   6  0 |   4   0   0 | 5N  *  *  tet
30 |  60  0 |  20   0  12 |  *  N  *  id
10 |  10  5 |   0   5   2 |  *  * 6N  pip