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Binary Birthday

Binary Birthday

I am this many.

Have you ever heard of the unary number system, i.e., base-1 numerals? That's the formal designation of tally marks-- a means of representing a number symbolically by using symbols, where the number represented is equal to the number of symbols. While easy to grasp, it's also a rather inefficient system, so we don't find too many uses of them in modern life. One of the places that we do (almost) always use the unary system is on birthday cakes, where a birthday cake has one candle per year. This is fine for small numbers, but positioning, lighting and blowing out candles becomes impractical past a certain point.

Here's a better way: A binary birthday candle. It consists of a single candle with seven wicks, where the wicks that are lit represent the birthday individual's age in binary. This single candle design works flawlessly to represent any age from 1 to 127, never requiring anyone below the age of 127 to blow out more than a mere six candles at a time.



You can make this fused single candle yourself:

Candles

Our starting point is a set of seven regular candles from the grocery store, plus a couple of extras that will be sacrificed for their wax.


Parchment box

Fold a little rectangular trough out of non-stick parchment paper, big enough to fit the seven candles side by side. The paper accepts creases well, but furiously rejects scotch tape, so our solution to make the box work is to *staple* the fold-over tabs (that don't touch the inside of the trough), and then tape it together with one big loop of scotch tape around the outside. (The tape sticks to itself.)


Lighter

Next, we need heat. This handy lighter works well for the job, but there are other options as well. Melt the candles together on their interfaces. A helpful trick is to take one or two more candles and (using the lighter) melt and drip their wax into the trough, and/or into the gaps between the candles. Be careful not to accidentally light the candles!


Fused

Here is our fused mono-candle.


Unpotted

The parchment paper simply *does not stick* to the wax, so this comes out very easily, leaving a neat and clean rectangular base.


Binary Birthday

Add to cake and light. (If you don't know your binary, you can always get help.)

Before you light it, it's a very good idea to use scissors and trim down the wicks that you *won't* be using, that way they won't accidentally catch on fire.

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Binary Birthday | 17 comments | Create New Account
The following comments are owned by whomever posted them. This site is not responsible for what they say.
Binary Birthday
From: Anonymous on Wednesday, November 19 2008 @ 10:12 AM PST
Happy birthday.

Shouldn't you use 8 candles? That will support people up to 255 years old (and, hey, I'm planning on living to be, at least, 250!).

Also, have you thought about putting a blank space in to group the digits? That might make it a bit easier to read.

Don't forget that you have to read it from the correct end (I'll spare you any discussion of big-endian versus little-endian). Shouldn't one of the candles be colour coded to indicate which end is the most significant bit?

I don't suppose adding a bit of a metallic dye to the wicks would be a good idea to make coloured flames, at least not while putting them on something you're going to eat.

One could always use LEDs instead of candles.

Dave
  • Binary Birthday - From: Anonymous on Wednesday, November 19 2008 @ 11:45 AM PST
  • Binary Birthday - From: Anonymous on Wednesday, November 19 2008 @ 12:02 PM PST
Binary Birthday
From: Anonymous on Wednesday, November 19 2008 @ 12:48 PM PST
I like the idea of using colors to indicate position. I propose the resistor code,
Black
Brown
Red
Orange
Green
Blue
Violet

Probably with colored wax rather than colored flame - no need to sputter your cake with a microscopic layer of magnesium, sodium, iron, etc.

Plus, there's really no good "black" candle flame color...

-Adam
  • Binary Birthday - From: Anonymous on Wednesday, November 19 2008 @ 05:04 PM PST
Binary Birthday palindromia
From: DaveLyons on Wednesday, November 19 2008 @ 02:57 PM PST
Happy 34th - Someone already noted that it's symmetrical in binary, so you're 34 from both sides of the table. It's also a palindrome in base 4 ("202"), base 16 ("22"), and trivially in any base 35 or higher (call it "Y", which even has the desired horizontal symmetry).

Finally, 34 is the "ultimate Octal age of life, the universe, and everyting": 42.

Cheers.
Binary Birthday
From: Dennis on Wednesday, November 19 2008 @ 10:23 PM PST
I would like to propose to generalize this approach so that not only the age, but the message (such as "Happy 34th Birthday, Windell!") could be communicated as well. So that the communication is reliable, start, stop and parity bits should be added. Of course, smaller candles (i.e. traditional birthday candles) would have to be used in order to keep the frame, er, cake size reasonable.

The problem with this approach is that it goes in the opposite direction of yours regarding lung capacity, fire hazard, etc. Perhaps good data compression could help with these.

Sorry, I couldn't help myself. <Wanders off mumbling something about storing data using candy sprinkles on a floppy, er, layer cake...>
  • Binary Birthday - From: Anonymous on Thursday, November 20 2008 @ 06:50 AM PST
Binary Birthday
From: Art Dahm on Thursday, November 20 2008 @ 07:20 AM PST
How about using the height of the candles to represent the digits with each one being twice as tall as the previous one? One issue would be that it would look too much like a pan flute, especially if all the candles started off with a common base height and only the top 1/3 or so was doubled (in order to keep the height difference from getting too out of hand).

---
Art Dahm • My Peggy 2.0 Web Page • www.mindlessdiversions.com/peggy2/
Binary Birthday
From: Anonymous on Friday, November 21 2008 @ 12:25 AM PST
Nice idea :-)
Another place where most people almost universally use unary is counting with fingers. Switching to binary there also has some benefits. Although others might find the number 4 offensive.
Binary Birthday
From: RichM on Friday, November 21 2008 @ 08:27 AM PST
The other benefit is that would benefit having a big blowout celebration whenever you turn a power of two and have only a single candle to blow out. The only one which is in common use today is the Sweet 16, but why not a Sweet 32, Sweet 64, Sweet 128, ...?

Or you could follow the Latin tradition of marking a girl's birthday one year before a power of two, where you would have a solid phalanx of candles lit without gaps. So besides the Quinceañera, you could have the Treinta-y-unoañera celebration featuring five candles list on the traditional cake.
Binary Birthday
From: Anonymous on Monday, November 24 2008 @ 02:13 PM PST
Different color candle for the LSB?
Binary Birthday
From: Anonymous on Monday, November 24 2008 @ 08:12 PM PST
What a wonderful Idea. Genius... perhaps a little evil... I'm glad you gave construction instructions as that would have been my next question.

I'd love to have one of those for my birthday...
Binary Birthday
From: Anonymous on Wednesday, November 26 2008 @ 09:46 AM PST
aahhh the pure geekeness of it. I must make one of those now.
Binary Birthday
From: Anonymous on Thursday, November 27 2008 @ 04:51 PM PST
On reading the candles:
make either the '1' candle or the '64' candle a different color? Or both colored but not the same colors?