# Fibonacci drawers in a cabinet

Guangzhou's Utopia Design created this Fibonacci Cabinet, whose drawers are scaled according to ratios from the Fibonacci sequence.

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1. I have a television like that. I hate it.

2. LogrusZed says:

Needs to have room for Alias DVD series.

3. arteyephoto says:

Turns out the OÄNDLIG wardrobe I bought from Ikea is the same.  I’ve been working on it for 3 years now, and the newest section doesn’t fit in my yard, even.  When will this madness end?!

4. i think it’s cool :)

5. mrtut says:

This is not Modulor. Le Corbu cries in his grave (which is Modulor)

6. dr says:

At the risk of being pedantic, these drawers seem to be in the Golden Ratio (phi) not Fibonacci.  The ratios of successive Fibonacci numbers tend to phi in the limit.

Phi is defined to be the unique number such that if a rectangle’s sides have a ratio phi, and you remove a square based on the smaller side, the remaining rectangle’s sides have ratio phi.  It is no less cool than the Fibonacci series, by the way; look it up.

1. mrtut says:

At risk of being even more pedantic:

The drawer’s ratios are squares at 1, 1, 2 (smallest drawer built), 3, 5, 8, 13, 21 (largest drawer built), all of which are Fibonacci series numbers.

Here’s an image so you don’t have to look it up: http://upload.wikimedia.org/wikipedia/commons/thumb/9/93/Fibonacci_spiral_34.svg/180px-Fibonacci_spiral_34.svg.png

1. dr says:

You’re right, my bad for not actually reading the text and just looking at the front view of the cabinet.

1. mrtut says:

You let me be right on the internet!

Hats off to you, Sir.

2. At the risk of being evener morer pedantica, they’ve stuffed up the opening sequence of the Fibonacci series.

They’ve left a gap for the draw that is meant to represent 0, which in itself doesn’t make sense, and additionally the gap is smaller than the drawer that is meant to represent 1. There is no second drawer equal to 1.This makes it clear that drawer number 2, is not in fact twice the width of the drawer that represents 1, as it is only as wide as a single drawer representing 1 and the lesser space representing 0.

Additionally there are only 6 drawers, so even with the missing 1, they don’t reach 21, but rather 13.

1. dr says:

This observation is what motivated my first post.  However, if you assume that the smallest drawer shown is a 2, and that the hole represents two 1s stacked on top of each other, then all works out, except figuring out what happened to the two missing 1s.
I suspect the little girl had something to do with it.

7. Robert Cruickshank says:

That would go nicely with a Sierpinski carpet.

8. And to think, I’ve just been leaving my pebbles, twigs, and flower petals out on the ground in my yard like a slob!

9. macbob says:

And I raise you – My Squared-Square Cabinet!