TOPICS
Search

Supergolden Rectangle


SupergoldenRectangle

The supergolden rectangle is a rectangle with side lengths in the ratio 1:psi, where psi is the supergolden ratio. A psi×1 supergolden rectangle can be disected into a unit square plus two smaller psi^(-1)×psi^(-2) and psi^(-2)×psi^(-3) supergolden rectangles, as illustrated above (Pegg 2019).


See also

Golden Rectangle, Supergolden Ratio

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

References

Pegg, E. Jr. "Shattering the Plane with Twelve New Substitution Tilings Using 2, phi, psi, chi, rho." Mar. 7, 2019. https://blog.wolfram.com/2019/03/07/shattering-the-plane-with-twelve-new-substitution-tilings-using-2-phi-psi-chi-rho/.

Cite this as:

Weisstein, Eric W. "Supergolden Rectangle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SupergoldenRectangle.html

Subject classifications