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WolframAlpha polyhedron - rhombic hexecontahedron

WolframAlpha polyhedron - rhombic hexecontahedron

A polyhedron can be obtained by constructing a stellated form of a simpler geometric solid of a triacontahedron.

Recall that the polyhedron triacontahedron is a geometric solid of thirty rhombuses. Each rhombus has a golden ratio.
polyhedron triacontahedron

Now let's get back to how to get a stellated rhombic triacontahedron (or rhombic hexecontahedron).
If on each of the thirty faces in the form of the initial body we construct rays in two rhombuses, then the final combination of 2x30 rhombuses will give us a 60-sided facet polyhedron - a rhombic hexecontahedron.

stellated rhombic triacontahedron

This polyhedron gained particular popularity after the Wolfram|Alpha project team made it a registered trademark and symbol of their product.

WolframAlpha project team made it a symbol of their product

WolframAlpha polyhedron - rhombic hexecontahedron

The www.wolframalpha.com project itself is a set of algorithms that allow solving mathematical problems and finding answers in databases. Some people compare it to search engines like Google or Yandex. But the creators of the Wolfram|Alpha project adhere to a different point of view, that this is an algorithm that allows you to translate a request from a human language into a format convenient for computer processing. It is also believed that Wolfram|Alpha is one of the prototypes of artificial intelligence.

WolframAlpha polyhedron - rhombic hexecontahedron

The author of the project, Stephen Wolfram, wrote a very detailed story about how the polyhedron - the rhombic hexecontahedron - became the symbol of his product.
In addition, Stephen Wolfram describes the polyhedron model in detail and takes a long excursion into history. He also gives various options for manufacturing a polyhedron model, including from shape nets.

You can purchase an original kit for creating a model on the developer's website:

https://store.wolfram.com/view/misc/popup/spikey_kit

 

For our part, we offer another option for making a model, which, in our opinion, can be very convenient.

To assemble a polyhedron, you need to download a shape net:

WolframAlpha polyhedron - rhombic hexecontahedron 

Print the shape net on five A4 sheets.

For work, we immediately chose design double-sided paper in red.

WolframAlpha polyhedron - rhombic hexecontahedron

 

For convenience, it is recommended to draw the fold lines with a ballpoint pen. This will speed up the bending process of the petals.

To draw fold lines, you will need a pen, a ruler, and a few sheets of plain paper to create a soft-surface lining.

The ball on the tip of the ballpoint pen, drawing a line, creates pressure on the paper and pushes it slightly.

The resulting fold line is quite comfortable.

But, if you wish, you can refuse this stage of work and go straight to the next one.

WolframAlpha polyhedron - rhombic hexecontahedron

 

Each detail should be cut along the contour using ordinary scissors. Then we bend all the flaps inward, and make folds between future faces.

WolframAlpha polyhedron - rhombic hexecontahedron

 

We glue each part as shown in the figure.

WolframAlpha polyhedron - rhombic hexecontahedron

 

Then glue the remaining flaps.

WolframAlpha polyhedron - rhombic hexecontahedron

 

You should get 20 identical parts.

WolframAlpha polyhedron - rhombic hexecontahedron

 

We glue the parts together through the side triangular surface.

WolframAlpha polyhedron - rhombic hexecontahedron

 

An example of two pieces glued together.

WolframAlpha polyhedron - rhombic hexecontahedron

 

We glue the third part.

WolframAlpha polyhedron - rhombic hexecontahedron

 

We glue two more parts and get a base of five parts.

WolframAlpha polyhedron - rhombic hexecontahedron

 

We turn the base over.

WolframAlpha polyhedron - rhombic hexecontahedron

 

We glue five more parts.

WolframAlpha polyhedron - rhombic hexecontahedron

 

We glue five more parts.

WolframAlpha polyhedron - rhombic hexecontahedron

 

We glue four more parts. The final stage, we glue the last 20th part.

WolframAlpha polyhedron - rhombic hexecontahedron

 

We get the finished model of the polyhedron.

WolframAlpha polyhedron - rhombic hexecontahedron

WolframAlpha polyhedron - rhombic hexecontahedron    

  © polyhedr.com  12/09/2020

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