7 deleted 80 characters in body

Note: changes have been made to the code but not yet to the explanation...

Note: changes have been made to the code but not yet to the explanation...

6 added 1904 characters in body

145103 bytes are a 143101 digit base 250 number, which is a base-48 compression of a possible cube, with trailing spaces added to equalise the row-lengths, without new lines, and without 18 characters from the middle of each row, like this, but without newlines:

         _________________
/ _____________  /|
/ / ___________/ / |
/ / /| |       / /  |
/ / / | |      / /   |
/ / /| | |     / / /| |
/ / / | | |    / / / | |
/ / /  | | |   / / /| | |
/ /_/___|_|_|__/ / / | | |
/________________/ /  | | |
| ______________ | |  | | |
| | |    | | |_| | |__| | |
| | |    | |___| | |____| |
| | |   / / ___| | |_  / /
| | |  / / /   | | |/ / /
| | | / / /    | | | / /
| | |/ / /     | | |/ /
| | | / /      | |   /
| | |/_/_______| |  /
| |____________| | /
|________________|/


The 8 base-8 digits represent the strings of characters:

1      2    3    4    5    6        7        0
"   ", "_", "/", " ", "|", "/ / /", "| | |", "_____"


So the compression is then like the below where 1s, 6s, 7s and 0s are to be replaced by the strings shown above:

111000__111/ 00___  /|11 / / 00_/ / |116| |11 / /  |1  6 | |11/ /1|1 671  6| |16 71 6 | |  6  7167 6___|_|_|__6 7/000_/ /  7| 00____ | |  771 7_7__771 | |___7____| |71/ / ___7_  / / 7  6176  7 61 7 / /1761  7/ /1 7 / /11| |1/1  7/_/0__| |  /11| |00__| | /11 |000_|/11

ḣ9;⁾| ṁ5¤oµ€“µ½¿‘¦ “ Link_/ 1,|/|”;€⁶;”_ṁ"“¡ẇḞ6’D¤ṃ@“ replace... characters’Fs27Ç¹⁸?x€15¦€19Y to makeMain impossiblelink: rowsV
¦  apply sparsely:                                 ...splitting this up...
“ code_/ |/|”;€⁶;”_ṁ"“¡ẇḞ6’D¤ -page indexesmake the list of strings of characters
“ _/ |/|”                 - list of characters = [9,10,11]" _/ |/|"
⁶         ...this:     - literal space character
;€ µ€          for    - concatenate €ach: -> ["  ","_ ","/ ","  ","| ","/ ","| "]
ḣ9             ”_         head to index- 9literal = '_'
¤    ;             - concatenate -> ["  ","_ ","/ ","  ","| ","/ ","| ", '_']
⁾|               “¡ẇḞ6’   -   listbase of250 charactersliteral = ['|',' ']31111555
ṁ5                 D mould like- 5 = ['|','convert 'to decimal list -> [3,'|'1,' '1,'|']1,1,5,5,5]
;              "       concatenate  - zip with:
o      ṁ        logical or (vectorises)- with the rowmould like
(which- has the effect-> of[" appending the rest","_","/"," of","|","/ the/ row)/","| | |","_____"]

“ ... ’ṃ“ /|_”s27Ç¹⁸?x€15¦€19Y  Main link: V
“ ... ’                         base 250 number (as described above)
“ /|_”     ...Main link, part 2:
...ṃ@“ ... ’Fs27 - make the rows of a possible cube without the charactersmiddle torepetitions:
... use [' ','/','|'           - part 1,'_'] above
“ ... ’   ṃ  - the 101 digit base 250 number
ṃ@            - base decompression (0->'_',with 1->'swapped ',@rguments
2->'/', 3->'|')
F    s27- flatten (because the digit values we are using are actually lists)
s27 - split into chunks of length 27 (into the rows)

?           if                      ...Main link part 3:
...Ç¹⁸?x€15¦€19Y - make "impossible" if need be, add the row middles and output
...           ⁸   - part 2, above
? chain's left argument = V    -  if:
⁸          -    chain's left argument = V
-          (make it an impossible cube - see link 1, below)
¹            - ...else: identity (do nothing)
€    - for €ach
¦  €     for- apply sparsely:
15        - ...to index: 15
x€    19    - ...this: repeat €ach nineteen times
Y - join with newlines
¦          - implicit print

ḣ9;⁾| ṁ5¤oµ€“µ½¿‘¦  Link 1, replace characters to make impossible: rows
¦  apply sparsely:
“µ½¿‘   ...to indexes: code-page indexes = [9,10,11]
15              ...this:
µ€          for €ach:
repeat €ach nineteen⁾| times                    list of characters = ['|',' ']
ṁ5                  mould like 5 = ['|',' ','|',' ','|']
;  Y  join                 concatenate
o              logical or (vectorises) with newlinesthe row
(which has the effect of appending implicitthe printrest of the row)


145 bytes are a 143 digit base 250 number, which is a base-4 compression of a possible cube, with trailing spaces added to equalise the row-lengths, without new lines, and without 18 characters from the middle of each row, like this, but without newlines:

         _________________
/ _____________  /|
/ / ___________/ / |
/ / /| |       / /  |
/ / / | |      / /   |
/ / /| | |     / / /| |
/ / / | | |    / / / | |
/ / /  | | |   / / /| | |
/ /_/___|_|_|__/ / / | | |
/________________/ /  | | |
| ______________ | |  | | |
| | |    | | |_| | |__| | |
| | |    | |___| | |____| |
| | |   / / ___| | |_  / /
| | |  / / /   | | |/ / /
| | | / / /    | | | / /
| | |/ / /     | | |/ /
| | | / /      | |   /
| | |/_/_______| |  /
| |____________| | /
|________________|/

ḣ9;⁾| ṁ5¤oµ€“µ½¿‘¦  Link 1, replace characters to make impossible: rows
¦  apply sparsely:
“µ½¿‘   ...to indexes: code-page indexes = [9,10,11]
...this:
µ€          for €ach:
⁾|                     list of characters = ['|',' ']
ṁ5                  mould like 5 = ['|',' ','|',' ','|']
;                     concatenate
o              logical or (vectorises) with the row
(which has the effect of appending the rest of the row)

“ ... ’ṃ“ /|_”s27Ç¹⁸?x€15¦€19Y  Main link: V
“ ... ’                         base 250 number (as described above)
“ /|_”                  the characters to use [' ','/','|','_']
ṃ                        base decompression (0->'_', 1->' ', 2->'/', 3->'|')
s27               split into chunks of length 27 (the rows)
?           if:
⁸              chain's left argument = V
¹             ...else: identity (do nothing)
€     for €ach
¦        apply sparsely:
15         ...to index: 15
x€    19     ...this: repeat €ach nineteen times
Y  join with newlines
implicit print


103 bytes are a 101 digit base 250 number, which is a base-8 compression of a possible cube, with trailing spaces added to equalise the row-lengths, without new lines, and without 18 characters from the middle of each row, like this, but without newlines:

         _________________
/ _____________  /|
/ / ___________/ / |
/ / /| |       / /  |
/ / / | |      / /   |
/ / /| | |     / / /| |
/ / / | | |    / / / | |
/ / /  | | |   / / /| | |
/ /_/___|_|_|__/ / / | | |
/________________/ /  | | |
| ______________ | |  | | |
| | |    | | |_| | |__| | |
| | |    | |___| | |____| |
| | |   / / ___| | |_  / /
| | |  / / /   | | |/ / /
| | | / / /    | | | / /
| | |/ / /     | | |/ /
| | | / /      | |   /
| | |/_/_______| |  /
| |____________| | /
|________________|/


The 8 base-8 digits represent the strings of characters:

1      2    3    4    5    6        7        0
"   ", "_", "/", " ", "|", "/ / /", "| | |", "_____"


So the compression is then like the below where 1s, 6s, 7s and 0s are to be replaced by the strings shown above:

111000__111/ 00___  /|11 / / 00_/ / |116| |11 / /  |1  6 | |11/ /1|1 671  6| |16 71 6 | |  6  7167 6___|_|_|__6 7/000_/ /  7| 00____ | |  771 7_7__771 | |___7____| |71/ / ___7_  / / 7  6176  7 61 7 / /1761  7/ /1 7 / /11| |1/1  7/_/0__| |  /11| |00__| | /11 |000_|/11

“ _/ |/|”;€⁶;”_ṁ"“¡ẇḞ6’D¤ṃ@“ ... ’Fs27Ç¹⁸?x€15¦€19Y  Main link: V
...splitting this up...
“ _/ |/|”;€⁶;”_ṁ"“¡ẇḞ6’D¤ - make the list of strings of characters
“ _/ |/|”                 - list of characters = " _/ |/|"
⁶              - literal space character
;€               - concatenate €ach -> ["  ","_ ","/ ","  ","| ","/ ","| "]
”_           - literal = '_'
;             - concatenate -> ["  ","_ ","/ ","  ","| ","/ ","| ", '_']
“¡ẇḞ6’   -   base 250 literal = 31111555
D  -   convert to decimal list -> [3,1,1,1,1,5,5,5]
"         - zip with:
ṁ          -   mould like
-   -> ["   ","_","/"," ","|","/ / /","| | |","_____"]

...ṃ@“ ... ’Fs27 - make the rows of a possible cube without the middle repetitions:
...              - part 1, above
“ ... ’     - the 101 digit base 250 number
ṃ@            - base decompression with swapped @rguments
F    - flatten (because the digit values we are using are actually lists)
s27 - split into chunks of length 27 (into the rows)

...Ç¹⁸?x€15¦€19Y - make "impossible" if need be, add the row middles and output
...              - part 2, above
?         -  if:
⁸          -    chain's left argument = V
-          (make it an impossible cube - see link 1, below)
¹            - ...else: identity (do nothing)
€    - for €ach
¦       - apply sparsely:
15        - ...to index: 15
x€    19    - ...this: repeat €ach nineteen times
Y - join with newlines
- implicit print

ḣ9;⁾| ṁ5¤oµ€“µ½¿‘¦  Link 1, replace characters to make impossible: rows
¦  apply sparsely:
“µ½¿‘   ...to indexes: code-page indexes = [9,10,11]
...this:
µ€          for €ach:
⁾|                     list of characters = ['|',' ']
ṁ5                  mould like 5 = ['|',' ','|',' ','|']
;                     concatenate
o              logical or (vectorises) with the row
(which has the effect of appending the rest of the row)

5 deleted 1 character in body

# Jelly,  187 168166bytes

ḣ9;⁾| ṁ5¤oµ€“µ½¿‘¦
“ _/ |/|”;€⁶;”_ṁ"“¤¢¢¢¢¦¦¦‘ṃ@“Ė⁸ġṾṗ¢œƝṇRK⁹ṄẸŒÐ¤ɓḂı|”;€⁶;”_ṁ"“¡ẇḞ6’D¤ṃ@“Ė⁸ġṾṗ¢œƝṇRK⁹ṄẸŒÐ¤ɓḂı)ḥṆqƓị¹÷ḄƝṁPʠVW1JĊTc;[¤ÆWŒṠṬ#ʋÆ6ẉ⁷ZḷƊḤƑẹẠGḊ|qi×Ƭ®ÐėƁ1(⁸ṪU¹Bgoƭ<Gḋ×c:ȦṚƇĊ¬e*⁽%ḷİ°U’Fs27Ç¹⁸?x€15¦€19Y


# Jelly,  187 168bytes

ḣ9;⁾| ṁ5¤oµ€“µ½¿‘¦
“ _/ |/|”;€⁶;”_ṁ"“¤¢¢¢¢¦¦¦‘ṃ@“Ė⁸ġṾṗ¢œƝṇRK⁹ṄẸŒÐ¤ɓḂı)ḥṆqƓị¹÷ḄƝṁPʠVW1JĊTc;[¤ÆWŒṠṬ#ʋÆ6ẉ⁷ZḷƊḤƑẹẠGḊ|qi×Ƭ®ÐėƁ1(⁸ṪU¹Bgoƭ<Gḋ×c:ȦṚƇĊ¬e*⁽%ḷİ°U’Fs27Ç¹⁸?x€15¦€19Y


Try it online!

# Jelly,  187 166bytes

ḣ9;⁾| ṁ5¤oµ€“µ½¿‘¦
“ _/ |/|”;€⁶;”_ṁ"“¡ẇḞ6’D¤ṃ@“Ė⁸ġṾṗ¢œƝṇRK⁹ṄẸŒÐ¤ɓḂı)ḥṆqƓị¹÷ḄƝṁPʠVW1JĊTc;[¤ÆWŒṠṬ#ʋÆ6ẉ⁷ZḷƊḤƑẹẠGḊ|qi×Ƭ®ÐėƁ1(⁸ṪU¹Bgoƭ<Gḋ×c:ȦṚƇĊ¬e*⁽%ḷİ°U’Fs27Ç¹⁸?x€15¦€19Y


Try it online!

4 added 12 characters in body
3 added 27 characters in body
2 added 2772 characters in body
1