September 29, 2023
#2835: Factorial Numbers explain
{{incomplete transcript|Do NOT delete this tag too soon. - De-tabled the Transcript (thanks for reminding me), but definitely still needs work…}}
[Cueball is standing in front of a large presentation poster. There are two uniformed officers (a Ponytail and a further Cueball, wearing badged hats) approaching Cueball.]
[Poster:]
[Title:]Variable-base Factoradic™ numbers
[Diagram in the form of a slip of paper, left edge torn jagged to indicate indefinite continuation]
[Several stacked elements. Following the general pattern of having “Base” at the top a base-number below that, and a square below that holding a digit (less than the given base-number)]
[Rightmost stack:] Base 2 [square:] 1
[2nd rightmost stack:] Base 3 [square:] 1
[3rd rightmost stack:] Base 4 [square:] 1
[4th rightmost stack:] Base 5 [square:] 0
[5th rightmost stack:] Base 6 [square:] 5
[6th rightmost stack:] Base 7 [square:] 3
[Leftmost stack has no obvious text, its square is cut across by the ’torn’ edge of the diagram.]
[Two column-pairs, with idential paired-headers, above (generally) a ’number’, a linking dash and another ’number']
[Left headers for both:] Base 10
[Right headers for both:] Factoradic
[First column of number pairs:]
1 — 1
2 — 10
3 — 11
4 — 20
5 — 21
6 — 100
7 — 101
[Gap]
21 — 311
22 — 320
23 — 321
[Continuation in second column of number pairs:]
24 — 1,000
25 — 1,001
[Gap]
5,038 — 654,320
5,039 — 654,321
5,040 — 1,000,000
[Gap]
999,998 — 266,251,210
999,999 — 266,251,211
1,000,000 — 266,251,220
1,000,001 — 266,251,221
Cueball: Small numbers like seven or nineteen shouldn’t use big numerals like “7” or “9”.
Cueball: I mean, “9” is the biggest numeral we have! It should be reserved for big numbers.
Cueball: Small numbers should be written with small numerals like “1” or “2”.
Cueball: That’s why my variable-base system uses…Hey! No, listen!
[Caption under the comic:] Factorial numbers are the number system that sounds most like a prank by someone who’s about to be escorted out of the math department by security.