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In response to Kempton's October 24, 2009 math game, I developed a proposed "operator" that should work to solve his problem. Here is the exchange for the record:
(A) Kempton's Challenge:
香港 (八港) – 新創數字系統 (數字遊戲)
讀到香港46層高的大廈可以一躍變身88層。我提議香港可以使用一套新創數字系統。不用什麼一二三四五六七八…了！要等了七個唔係”八”/”發”的數字才輪到”八”，花太多時間用些無聊數字。香港新創數字系統可以全部都用八，包保全部好意頭。
(舊)==>(新)
一= 八
二= 八八
三= 八八八
四= 八八八八
五= 八八八八八
六= 八八八八八八
七= 八八八八八八八
八= 八八八八八八八八
九= 八八八八八八八八八
十 = 八八八八八八八八八八
十一 = 八八八八八八八八八八八
( 八八八 ) 乘 ( 八八 ) = 八八八八八八
( 八八八八八八八) 加 ( 八 ) = 八八八八八八八八
香港人數口非常精，相信很快便會學會香港新創數字系統！
數口超級精的數學天才，呢套香港新創數字系統，除了要花點時間用之外，有理論根據嗎？那些地方可行？有問題嗎？
有興趣的讀者可以在 comment 玩一吓呢個數字遊戲。
(B) My October 26, 2009 Response:
「八港」哈哈哈哈!!!!哈哈哈哈!!!!
It is definitely feasible to have a new system that is based on the number 8. The challenge is to link the new base-8 system to the existing number system being used outside of Hong Kong. Let me try ….
Let Xn denotes the number n, where n = 1,2,3,4,..
Proposed operator to map the two systems:
Xn = (8)*[sum of: 10exp(n-1), 10exp(n-2), 10exp(n-3), ... , 10exp(n-n)]
Tests:
X4 = (8)*[10exp(3)+10exp(2)+10exp(1)+10exp(0)]
= (8)*[1000+100+10+1]
= 8888
X3 = (8)*[10exp(2)+10exp(1)+10exp(0)] = 888
X2 = (8)*[10exp(1)+10exp(0)] = 88
X1 = (8)*[10exp(1-1)] = 8
IMHO, the proposed operator should work.
Reference:
Kempton's Blog: 香港 (八港) – 新創數字系統 (數字遊戲) http://ca8hk.wordpress.com/2009/10/24/eight-kong-number-game/
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12 comments:
地產商在自欺欺人,
但有人喜歡喎,
你話死火唔死火!
唉~~~~~
I have been checking out banquet menu in Hong Kong. The price always ends with $888. Like HK$7888, 4888, 5888. Do Chinese restaurants in north America do the same? Probably, eh? We can all use a little bit of good luck :-)
exile
兩位兄臺身處外國，當然可以隔岸觀火，拿香港這股歪風，作出笑話謔笑一番。但身處香港的人，政府竟然容忍此等歪風，真是無奈！
Space
一個字:
服!
新鮮人:
> 地產商在自欺欺人,但有人喜歡喎
好多商家佬,有人買,就乜都会做!!
Exile: Yes, quite a few Chinese restaurants here use the number 8 a lot to imply 發 (as in 發財丶發達)。I suppose it's all for fun and good luck altho the focus seems to be more on making money than anything else.
Space:
>> ... 隔岸觀火唉!!
遠水亦不能救近火,身在香港的 Space 兄努力啊!
5pointsorless:
I am sure you must have taken similar courses in Cambridge :)
This is indeed what the mathematician called the unary-system.
Under this system, 1 + 1 = 11. Actually, the symbol "1" is arbitrary, you can replace it with any other symbol (or even symbols).
In other words, given any number in the decimal system, say 9, under the unary world, it is represented as 111111111.
Justin:
I am glad to have someone checking my math :)
Wow, you are a person of many talents - you owns SIX blogs ?!!!
haha, i am not so talented. you can see all those six blogs are abandoned. I don't realize i hv six blogs before you mention it.
Justin: That was quick action on your part. Now I see you own ONE blog :)
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