It's Elemental

Tag: Mathematics

  • Harmonic Points and Lines: A Projective Geometric Exercise

    WARNING: PROJECTIVE GEOMETRY MAY PUT HOLES IN YOUR BRAIN.  YOUR MIND MIGHT LEAK OUT – IF YOU WANT YOUR MIND IN YOUR BRAIN STOP READING NOW.

    Okay, here is a geometric exercise that I find very interesting (for some context about WHY it is interesting, look here).

      It is, however, more complicated than the previous one and will likely require you to actually take out a pencil (not a pen, please, and go for mechanical – 0.5mm lead… do it for me), a ruler, and unlined paper.

    HARMONIC POINTS – Phase 1

    The short setup first, then construction hints, then process, then comments:

    1. Draw line a.
    2. Mark point A on line a.
    3. (more…)