I like to know how to draw a snub dodecahedron using just a pencil, compass, marked ruler and calculator (using the calculator to calculate some trigonometric functions, and to measure distances with a ruler), like in this video.

I already know how to draw a dodecahedron, an icosahedron, a cube, etc.

I am skilful with the compass and the ruler, but I can't find any instructions on drawing this solid.

  • 5
    I removed your comment saying you don't want downvotes: that is completely up to other users. About your question: draw it how? Using linear perspective? In oblique projection?
    – Joachim
    Jan 12, 2020 at 22:12
  • @Joachim Like dodecahedron here: dearingdraws.com/how-to-draw-dodecahedron-platonic-solids.
    – User123
    Jan 13, 2020 at 18:19
  • 3
    "I can draw anything." than it sounds like you already know how to draw it so go do it. Snark aside not all shapes can be drawn using a compass and ruler. Check the wiki on that. I am voting to close because this is requesting a tutorial, and has more to do with higher mathematics than it does with crafting.
    – rebusB
    Jan 14, 2020 at 23:05
  • 1
    @rebusB Agreed. With both points. The missing step here - based on the linked video - seems to be figuring out how that method can be applied to other solids. And looking at it I'm not even sure if there is a logic to it.
    – Joachim
    Jan 15, 2020 at 10:06
  • 3
    A little late to the party here, but a mathematically-inclined friend and I might be interested in investigating this question. While it's not possible to draw all shapes with a compass and straight-edge (which is the subject of the article linked in the wiki earlier), it sounds like @User123 is willing to use a marked ruler (not just a straight-edge) to produce the drawing, which provides much more freedom/opportunity than just a straight-edge. This is still a non-trivial question, though, so no promises on providing a satisfactory answer. But we'll probably give it a try in about a week!
    – Flora Su
    Jun 22, 2020 at 11:41


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