Ari Siletz

Settle it w/ switchblades ضامندارا بیرون

One solution would be for the lootis to stake out positions with their switchblades.  For this we employ the services of head chef Houshie Mashangi.  Lets say he starts by placing his satoor (hatchet) on the left end of the greasy kabob on the sikh and continuously moves it along the kabob towards the right end of it.  At the same time, all 3 lootis place their zamendars (switchblades) to the left of Houshie's satoor in a position where they believe is the exact half-way point between the left-end of the kabob & the instantaneous position of Houshie's satoor.  (In other words, as the satoor moves to the right along the kabob, the zamendars also do so, while being on the left side of the satoor, according to the criterion mentioned.)

At any moment during this process any of the lootis can yell "nafas kesh," at which point the Mashangi sattor will come down on the kabob at the position along the kabob that the satoor happens to be at that moment.  The piece of kabob that ends up on the right-hand side of the satoor goes to the looti who called it.  The left-hand piece of the kabob that's left over gets divided between the 2 remaining lootis, call them A & B, according to the current position of their zamendars, as follows. 

At that instant one zamendar will be the right-most one, one will be the middle one and one the left-most one, position-wise.  Between lootis A & B the one whose zamendar is positioned to the left of the other one gets the kabob piece that is between the middle zamendar and the satoor, and the other looti will get the piece that's left over, namely the piece between the left end of the kabob and the middle zamendar.

For full disclosure, I knew of the solution to the envy-free cake division problem, in which the objective is for each player to end w/ a piece of the cake no shorter than the other ones, i.e. the players are naa-lootis.  The solution for this problem is sort of a mirror image of the moving-knife one for the cake problem.  But there's another solution to the cake problem which starts with one player dividing the cake into 3, known as the discrete solution.  Is there an analogous "discrete" solution for this problem?

جناب فرامرز،

پس معلوم شد شهرت مردانگی این دو پهلوان از کجا سرچشمه گرفته بود. مارو بگو که فکر میکردیم عرفانی در کاره.

آری، این جواب معمای دومی.

دو تا جاهل ها بیرون کبابی جر و بحث شون بالا گرفته بود که کدومشون جریانش از یک سیخ کباب برگ دراز تر و کلفت تره!

قرار شد که هر کدوم که برد پول غذای اون یکی رو بده. برای همین یک سیخ کباب سفارش دادنو و بعدش هم بقیه ماجرا!

MM

Good solution to the Faramarz puzzle. My solution was that it was the end of the day and only one sikh of Kabob was left. 

A geometer's answer, MPD

And gauranteed to cut the kabob into three equal pieces. Actually the puzzle needed your correct geometric analysis to move on to its main feature which is more along the lines of what Divaneh is thinking. Many thanks for moving things along.

Note that in the two pahlevan case the solution made no reference to an actual measurement, just to the fact that the algorithm makes sure both parties are satisfied as to the fairness of the division. With a geometric solution, the kabob can be cut in half in terms of physical measurement, but may not appear equal to one or both parties (for whatever reason). The fight could go on because of this subjectivity.

This makes the solution algorithm more interesting because it demands a mathematics that cancels out any possible subjective or irrational element that pop up during human negotiations. The "one person cuts, the other chooses" is an example which works in the case of two people--whether it leads to two physically equal parts or not. The puzzle is asking for a three person solution of a similar "bedoon e choon va chera" nature where human subjectivity does not interfere with consensus. Let's call it "the mathematics of democracy."

The reason the two Jahels

The reason the two Jahels ordered one kebab is because one of them was a vegan who only wanted tofu cubes with his bread and sabzi.

So here is how it’s done,,,

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Lay down the kebab on the table

Call the left end of the kebab point “A” (in honor of Ahura), and the right side of it point “B” (in the honor of Babak)

Borrow a neck scarf (dastmal gardan) from one of the pahlavans

Put your left thumb on one end of the scarf at point A, and with the scarf stretched out, draw an arch above the line A-B with the same length as A-B

Repeat the same process from point B

Name the place where the two arches cross point C (in the honor of Camels)

Draw a line from C to A, and a line from C to B, this will create an equilateral triangle, A-B-C, with kebab A-B being the base of the triangle

Take the scarf and measure the kebab with it, and then fold it in half, put the half on line A-C and find the mid-point of it, do the same thing with line B-C and find the mid-point of that

Draw a line from point A to the mid-point of B-C and call it D (in the honor of Drakhshan)

Draw a line from point B to the mid-point of A-C and call it E (in the honor of my Email)

Draw a line from A to D, call it line A-D

Draw a line from B to E, call it line B-E

The point where line A-D and B-E intersect is the center of the equilateral triangle A-B-C

Sooooo, so far you have located the center of the triangle A-B-C, call this point O (in the honor of Obama)

From point O draw a line parallel to the kebab A-B and towards line A-C and extend it till it hits the line A-C

The length of this line is exactly one-third of the length of the kebab, which you could use the scarf to measure it and then put it on the kebab and cut it up in thirds.

Warnings:  This method is 100% guaranteed when it is performed with a computer software, such AutoCAD, however when it is performed on a kebab there might be disagreement about the burnt pieces at the end of the kebab, and things like that.  So, please proceed with caution.

چی میگی فرامرز

اری که هنوز نگفته سیخش چه اندازه ایه. شاید سیخش دراز و کلفت باشه.

بنده فکر میکنم باید بگیم مم جان یک گیلاس از اون عرقها بده ماندا بخوره شاید چشمش باز شه و خدا را چه دیدی، شاید یک وقت آیت الله شد.

این معما هم باید این جوریا باشه که داش بهنام به اندازه یک سوم میبره و هر دو تکه را تعارف میکنه به بامشاد چترباز. پهلوان بامشاد هم رو حساب لوطی گری تکه کوچکتر را برمی دارد. بعد داش بهنام تکۀ دیگر را دو نصف میکند و به داش سینا تعارف می کند. او هم یک تکه برمی دارد و تکه آخر هم می شود مال داش بهنام. هوشنگ خان هم میره سروقت پیازاش.   

میم میم،

چه روایت شیرینی‌ (قند پهلو) در مورد رسم چای خوری جاهلی!

بنده نوکر همگی‌، بحث هم نداره!

Ari

آری عزیز،
شبیه قصٌه جنابعالی من شنیدم که وقت سلامتی گفتن موقع عرق خوری توی کافه های لاله زار، هر جاهل ("پهلوان") که استکانشو پایین تر می زد یعنی "من چاکرتم".  ولی هیچ کس راضی به این نبود که استکان کسی زیر تر بخورد.  بنابراین، استکانها زیر میز و بعد به کف کافه میرسیدند.  بعد از رسیدن استکانها به کف کافه، جاهلها عصبانی شده و مسئله از سلامتی گفتن به فهش و دعوا میرسید مثل: "خار مادر فلان شده، من میگم من نوکرتم". 

پهلوون فرامرز

از توضیحات شما در مورد فرهنگ جاهلی سپاسگزارم. حالا که مجبور کردی،
باید یک معمای دیگر ضمیمه کنم: دو جاهل به کبابی میروند و دو تایی فقط یک
سیخ سفارش میدهند. اگر گفتی‌ چرا؟

جناب هوشنگ، کاملا با "آلت پریش" موافقم. امیدوارم شخصی‌ که عکس بالا را فتوشاپ کرده از گوشزد سرکار پند بگیرد.

کباب جاری باشه!

آری،
اشکال این معما اینست که شما میخواین یک سیخ کباب رو بین سه تا جاهل محل تقسیم کنید.

ما که از وقت بچه گی هیچ وقت راضی نمیشدیم که یک پرس چلو کباب را با کسی قسمت کنیم، چه رسد به یک سیخ ناقابل!

پهلوان ها هم هر وقت میرن کافه و کباب سفارش میدن، به صاحب کافه میگن، "کباب جاری باشه!" چون کار با یکی یا دو تا سیخ حل نمیشه. داری صحبت از بیست، سی تا سیخ میکنی!

شوخی شوخی، با نام شریف، باستانی، اصیل،...ماهم شوخی؟

و اما راه حل قضیه: این رفیق آلت پریش ما, چون قبل از ورود ارازل و اوباش
مقداری علف کشیده بوده و موردی از "مانچیز" داشته، کل کباب را خودش میخوره،
و در عوض مقدار تنباکوی ناب جاماکایی به طرفین  تا مقداری انسان شوند!

آری جان، مسئلهٔ ریاضی‌ اونم این وقتِ شب؟

آخه؟!... ولی‌ خیلی‌ با مزه بود.