Homemade honeycomb tool racks

With “honeycomb” I mean a structure of adjoining (cylindrical, not hexagonal) cells.

Those who know of geometry could explain why (I suppose it is related to the concept of hexagon circumscribed in a circumference), but just by observation, it is a fact that whatever the diameter of a cylinder, the circumference can be filled with SIX cylinders of the same diameter, which is the basis of these racks.

They are made with reused items:

1) Arts and crafts tool rack. Made with tablet bottles and a container

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2) Putty and gluing tool rack. Made with Crazy-glue containers and a deodorant bottle

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3) Wooden dowels. Made with caulking tubes and a coffee can

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Regards.

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Thanks morsa! We've added your Honeycomb Storage Container to our Storage and Organization category,
as well as to your builder page: morsa's Homemade Tools. Your receipt:

<div id="blocks"> <div class="block b1 pngfix"> <div class="bimg"> <div> <a href="https://www.homemadetools.net/homemade-honeycomb-storage-container"> <img src="/uploads/237868/homemade-honeycomb-storage-container.jpeg"/> </a> </div> </div> <div class="head pngfix"></div> <div class="left pngfix"></div> <div class="right pngfix"></div> <div class="blockover b1 pngfix"> <div class="title"> <a href="https://www.homemadetools.net/homemade-honeycomb-storage-container">Honeycomb Storage Container</a> <span> by <a href="https://www.homemadetools.net/builder/morsa">morsa</a></span> </div> <div class="tags">tags: <a href='https://www.homemadetools.net/tag/storage'>storage</a> </div> </div> </div> </div>
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I was curious how many cylinders have to be used to make a second row around these six. Using a drawing of a honeycomb, I found some interesting facts:

1- Assuming all cylinders have the same diameter, a second row (orange) will have 12 units
2- The third row (yellow) would have 18 units
3- The fourth row (green) would have 24 units
4- The fifth (blue), 30 units and so on, that is, SIX more units for each new row
5- Even using cylinders, whatever the number of rows, the set will have a HEXAGONAL shape

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