Small Rhombicuboctahedron

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    The "Small Rhombicuboctahedron" is an Archimedean solid with eight triangular and eighteen square faces. There are 24 identical vertices, with one triangle and three squares meeting at each. See explanations below.

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    Bette B., klaasreineke, z.bogatykh, and 1 other people added this photo to their favorites.

    1. aldoaldoz 80 months ago | reply

      I have already shown how to build this model starting from a Truncated Cube. What follows is a simpler way to do the same model.

      Let's start with the pattern below on the left, and build four square pyramids as shown on the right:

      11 12

      Some rods are red: they are there only for clarity, but will be removed as the construction goes on. The shot below on the left shows the four pyramid raised and joined at their vertices with four blue rods. As anticipated, four red rods are removed: this is to avoid rods collisions on the base balls (see inside the red circle). On the right, the triangular spaces between the pyramid bases have been filled.

      13 14

      Now four pyramids (as the one below on the left) are added to the model, as well as blue rods that fix the pyramid vertices: at the end all the red rods will be removed.

      20 22

      Below on the left the empty spaces between the pyramids are filled. On the right, the last four pyramids are added.

      23 25

      Now the model is almost finished: it's enough to fill the triangular spaces and the top square. This is the result:

      Small Rhombicuboctahedron

    2. tapatim 80 months ago | reply

      Aesthetically Perfect
      ...your AMAZING pic
      presents an aesthetically perfect
      and deserves an AWARD!!!

    3. Bette B. 78 months ago | reply

      these are beautiful

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