Buttery Biscuit Base
(Published on 24. October 2021, 20:17 by fjam)
Do you like a base, base, base, base? Do you like a buttery biscuit base?
The theme for this puzzle comes from a classic YouTube video that sampled and remixed the judges from the UK version of Masterchef.
A brief explanation of base mathematics for solvers who are unfamiliar with the concept:
Normally numbers are written in base 10, for example:
3576 = 3×103 + 5×102 + 7×101 + 6×100
In a different base, any number is expressed similarly. Using 61 as an example in base 3, 5 and 7:
61 = 54 + 6 + 1 = 2×33 + 0×32 + 2×31 + 1×30 = 2021 in base 3
61 = 50 + 10 + 1 = 2×52 + 2×51 + 1×50 = 221 in base 5
61 = 49 + 7 + 5 = 1×72 + 1×71 + 5×70 = 115 in base 7
Solve video link in hidden comments: Rangsk
- Normal Sudoku rules apply.
- Clues outside the grid give the sum of the digits sandwiched between the 1 and 9 in their respective row/column.
- The digit placed next to the 1 inside a sandwich is the butter. Every sandwich clue is given in the numerical base of the butter.
Normally numbers are written in base 10, for example:
3576 = 3×103 + 5×102 + 7×101 + 6×100
In a different base, any number is expressed similarly. Using 61 as an example in base 3, 5 and 7:
61 = 54 + 6 + 1 = 2×33 + 0×32 + 2×31 + 1×30 = 2021 in base 3
61 = 50 + 10 + 1 = 2×52 + 2×51 + 1×50 = 221 in base 5
61 = 49 + 7 + 5 = 1×72 + 1×71 + 5×70 = 115 in base 7
Solve video link in hidden comments: Rangsk
Solution code: Row 3, Row 4
Last changed on on 14. July 2023, 15:27
Solved by Steven R, rimodech, polar, SKORP17, kolot, wenchang, marcmees, kaitoJD, panthchesh, starwarigami, purpl, PrimeWeasel, morgannamodeaura, Crul, RandomPerson2357, OGRussHood, Vebby, Phistomefel, Bellsita, starelev5, Sewerin
Comments
on 14. February 2023, 13:45 by Phistomefel
That was cool! Thanks, fjam! :)
on 14. February 2023, 07:24 by Vebby
Really nice idea and well executed!
on 27. November 2021, 13:50 by PrimeWeasel
This has some really great deductions! Very nice!
on 29. October 2021, 11:59 by starwarigami
Easy to get lost along the way if you're not careful, but the logic is there if you can spot it. Solid puzzle
on 25. October 2021, 13:10 by kolot
Very nice idea and very enjoyable puzzle!
on 25. October 2021, 00:12 by polar
Haha I enjoyed the title/reference. It's also great at 1.25x speed! Very nice puzzle too :)
on 24. October 2021, 21:58 by Steven R
That toasty, nutty base.
