The Pythagorean Thermo
(Published on 4. June 2021, 20:29 by djorr)
Normal sudoku rules apply. Digits along a thermometer increase from the bulb end.
There are seven right triangles in the grid. For each triangle, the three vertices are all shaded one color. Right triangles must obey the Pythagorean theorem. That is, A^2 + B^2 = C^2, where A is the sum of the digits on one leg of the triangle, B is the sum of the digits on the other leg of the triangle, and C is the sum of the digits on the hypotenuse. Digits are allowed to repeat on the hypotenuse if allowed by other rules.
For reference, the first 8 primitive Pythagorean triples are:
(3, 4, 5)
(5, 12, 13)
(8, 15, 17)
(7, 24, 25)
(20, 21, 29)
(12, 35, 37)
(9, 40, 41)
(28, 45, 53)
Non-primitive Pythagorean triples are also allowed such as (6,8,10) or (10,24,26), etc.
F-puzzles link: https://f-puzzles.com/?id=y2mj8gdc
CTC link: https://tinyurl.com/yc8xkuzh
There are seven right triangles in the grid. For each triangle, the three vertices are all shaded one color. Right triangles must obey the Pythagorean theorem. That is, A^2 + B^2 = C^2, where A is the sum of the digits on one leg of the triangle, B is the sum of the digits on the other leg of the triangle, and C is the sum of the digits on the hypotenuse. Digits are allowed to repeat on the hypotenuse if allowed by other rules.
For reference, the first 8 primitive Pythagorean triples are:
(3, 4, 5)
(5, 12, 13)
(8, 15, 17)
(7, 24, 25)
(20, 21, 29)
(12, 35, 37)
(9, 40, 41)
(28, 45, 53)
Non-primitive Pythagorean triples are also allowed such as (6,8,10) or (10,24,26), etc.
F-puzzles link: https://f-puzzles.com/?id=y2mj8gdc
CTC link: https://tinyurl.com/yc8xkuzh
Solution code: Row 1 Column 8 (18 digits total, no spaces)
Last changed on on 9. June 2022, 01:04
Solved by wpolly, Zombie Hunter, hints_, ArchonE, Nothere, ParaNox, nseydel, Beedersen, SKORP17, 10feet, Crul, Accingite, vmirandaa, zrbakhtiar, Vebby, duckling
Comments
on 10. June 2021, 03:50 by djorr
Updated difficulty
on 5. June 2021, 21:15 by djorr
added "sudoku" as a tag
on 5. June 2021, 21:15 by djorr
SKORP17: Ja die sind auch möglich. Ich kann einfach nicht alle Kombinationen auflisten
Last changed on 5. June 2021, 21:14
on 5. June 2021, 21:14 by djorr
Yes, CJK, sorry about that!
on 5. June 2021, 16:21 by SKORP17
gelten auch andere Kombinationen wie z.B. 6-8-10 ?
on 5. June 2021, 06:34 by CJK
Since this is a sudoku puzle, could you please add the sudoku tag? :)
on 4. June 2021, 21:49 by djorr
Old solution code incorrect
