Illustrated fake-proof that π=4
The length of the green border is constant; always 4 times the diameter of the circle yet it can be made to approach arbitrarily close to the circumference
#genuary #genuary17 #genuary2024 #CreativeCoding #Processing #Mathsodon #maths #mathematics #geometry
Van Aubel's theorem states that if you start with a convex quadrilateral and construct a square on each side, externally to the quadrilateral, then the line segments connecting the centers of opposite squares will be equal in length and perpendicular to each other.
As one who studied Euclidean #geometry in college, I sometimes have trouble engaging too deeply sacred geometry, but that star figure on the top left actually has some really nice properties around basic fractions. At a party, I once had someone ask me if sacred geometry was a non-Euclidean geometry. Fair question. I wonder what the cat thinks.
This piece is #watercolor, ink, and mica watercolor on paper. The bronze knot shimmers on the light. #MathArt
