Deltoidal icositetrahedron (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Deltoidal icositetrahedron" in English language version.

refsWebsite

Global rank English rank

3,436^th place

2,114^th place

6,108^th place

4,433^rd place

513^th place

537^th place

low place

low place

1^st place

low place

loki3.com

Both is indicated in the two crystal models in the top right corner of this photo. A visual demonstration can be seen here and here.

Weisstein, Eric W. "Deltoidal Icositetrahedron". mathworld.wolfram.com. Retrieved 2022-10-06.
In this MathWorld entry, the small rhombicuboctahedron has edge length $a=1;$ so this s.r.c.o.h. has circumradius $R={\frac {\sqrt {5+2{\sqrt {2}}}}{2}}$ and midradius $\rho ={\sqrt {1+{\frac {\sqrt {2}}{2}}}};$ so this s.r.c.o.h.'s dual with respect to their common midsphere is the deltoidal icositetrahedron with inradius $r_{_{a=1}}={\frac {\rho ^{2}}{R}}={\sqrt {\frac {2\left(7+4{\sqrt {2}}\right)}{17}}}={\sqrt {2}}$ × ${\sqrt {\frac {7+4{\sqrt {2}}}{17}}}={\sqrt {2}}$ × $r_{_{D=2}}.$