FYI and fun(?!)...

The London Times publishes the quite difficult Listener Crossword every Saturday.
Every quarter(year) it's a Numerical puzzle.

I managed to solve it with the help of J.  Other J users might like to have a go.

Here's a link to a copy of the pdf on my Google Drive:
https://drive.google.com/file/d/1-dZ9-Xdiba-PNgffnTubDi90DebEufgk/view?usp=drivesdk
This link includes the 10x8 Grid and entry details as well as the following instructions.

The solution will be published in about three weeks time. I'm happy to share it when available.

Here follow the "preamble" and the clues:

Listener Crossword 4686

In the clues, “power” means an integer (greater than 1) raised to a power of 3 or more, and “multiple of x” means at least 2x. The grid contains the digits 1 to 6 only and no two entries are the same. After filling the grid, solvers must identify and shade in distinguishing colours as many dice nets as possible, ie six-cell shapes that could be folded to make a standard cubic die. The nets must all be of different shapes (none can be rotated or reflected to match another one). Nets may not overlap or cross any of the given grid
bars.

[I think both right- and left-handed nets are allowed.]

Clues
Across
1 Prime (4)
4 Power (4)
8 Triangular number − 18ac (4)
10 Multiple of 34dn (3)
12 Even square (3)
14 Triangular number (2)
16 Triangular number − 31ac (3)
17 Multiple of 7dn (4)
18 Triangular number (5)
19 Triangular number − 29ac (2)
21 Power (2)
23 Multiple of 32dn (5)
25 Prime (4)
27 Square − 16ac (3)
29 Multiple of a power (2)
30 Square + 24dn (3)
31 Square − 16ac (3)
33 Multiple of 30ac (4)
35 Triangular number (4)
36 Jumble of 1dn (4)

Down
1 Square (4)
2 Square (6)
3 Product of three distinct primes (2)
5 Product of three distinct primes (5)
6 7dn + 18dn (4)
7 Power (2)
9 Triangular number (7)
11 Twice a square (3)
13 Square (7)
15 Square (4)
18 Power (4)
20 Square (6)
22 Multiple of the square of 32dn (5)
24 Sum of two consecutive squares (3)
26 Half of a triangular number (4)
28 Square (4)
32 19ac − 7dn (2)
34 Prime (2)

Cheers,

Mike

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