5-dimensional crossword (no. 55)

Within the 8 grids shown above, 2-letter words run across and down as usual (clues below).

But the 2 grids within a given row can be stacked to make a 2 x 2 x 2 cube, so there are also `through' clues, e.g. the word (1) `through' has its first letter in the top-left corner of the top-left grid and its second letter in the top-left corner of the second grid on the top row.

Two rows of grids provide two 2 x 2 x 2 cubes, and these can be stacked to form a 2 x 2 x 2 x 2 hypercube, with words running also in a direction 'until', from grid to grid down the page. E.g. (5) `until' has its first letter in the top left square of the rightmost grid of the top row and the second letter in the top left square of the grid underneath it.

Similarly, two hypercubes can be stacked to make a 5-dimensional analogue of a hypercube. The words in this 5th direction, here called `round', run from a square in any of the 4 grids at upper left, to the corresponding square in one of the 4 grids at lower right.

The across, down, through, until and round directions are all mutually perpendicular, i.e. the crossword is 5-dimensional. There are 25 = 32 `squares' in all.

These squares accommodate 80 different 5-letter words, 16 running in each of the 5 directions. The crossword is highly connected, with 5 words crossing each square. There are more clues (80) than there are letters (32).

Across
1) First half of a Monday
3) Meditation about 26 through
5) Two for a laugh, and two more for water
7) Unconscious identification
9) Less than a mile backwards, a short walk in China
11) A new article
13) Eroded reef still extremely fine
15) Second to none, in that state
17) Live buzzer?
19) City in Surinam
21) Instrument for cutting a cross
23) Victory over centre
25) Order of Buddhists
27) Father Pascal
29) Qualifies Britain to be outstanding
31) Chip is boss

Down
1) A time denoting place
2) 1000 times as great
5) Aloha in Hawaii
6) Peculiar-sounding natural force
9) Trill in California
10) Inch of twine
13) Almost female in El Salvador
14) Folio of backer
17) 8 gallons in Bulgaria
18) King Edward the hesitant
21) Mean, avaricious within
22) Gas unknown in the east
25) Not available for surgey
26) Artist sees himself reflected in queen
29) Fighter back inside
30) Cat act on TV

Through
1) Exclamation is plural?
2) Time to cut the lawn?
3) It turns into a tree
4) Latin doctor, in 1500
9) The French backing the Spanish
10) Condition of island figurehead
11) Like an old copper coin
12) Norwegian negative
17) Degree for sheep?
18) Once out
19) Turner getting very light
20) Repeat note
25) Return of giant
26) Empty peak?
27) More than three for lunch by the sound of it
28) Pre-Christian electricity

Until
1) Bert's a beginner
2) Monsieur, me and Miss.
3) Word from a grateful army
4) Metal that can be mined here
5) She's short and masculine
6) From zero Fahrenheit
7) Present was invisible
8) Make half a bird
17) Man frightens goose
18) Initials easy money from print unit
19) Not down and out of soup
20) Radioactive sungod at the academy
21) Silver in a guilder
22) Prophet of the junctions
23) She's six
24) In Peckham, in London

Round
1) Alphabetical sailor
2) First person to appear in Salome
3) Address in France, in square near tube
4) Title of Man Ray's first pieces
5) Laugh twice at the fence
6) Beast in box
7) Less than five
8) Of French or German extraction
9) Look!
10) I, 1 across
11) Press a prince
12) Popular lyric you can't have
13) Inside leg, for instance
14) Foot of newspaper
15) System agreed in Spain
16) Officer in charge of Rock

The words and abbreviations used can be found in standard references. The solution is available on request.

Chris Benn crb@ing.iac.es

Html version + cryptic clues 2003 Jan.

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