Yff Circles Triangles

Author

Eric W. Weisstein
November 8, 2005

This notebook downloaded from http://mathworld.wolfram.com/notebooks/PlaneGeometry/YffCirclesTriangles.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/YffCirclesTriangles.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Derivation

Center/@Circles[YffCircles[1]]

InputForm[%]

Center/@Circles[YffCircles[2]]

InputForm[%]

Centers

First

(pts={#,KimberlingLookup[#[YffCirclesTriangle[1]]]}&/@Take[KimberlingCenters,100]);//Timing

{#[[1]],Name[#[[1]]],X[#[[2,1]]],Name[X[#[[2,1]]]]}&/@Cases[pts,_?(Last[#]=!={}&)]//TableForm

Second

(pts={#,KimberlingLookup[#[YffCirclesTriangle[2]]]}&/@Take[KimberlingCenters,100]);//Timing

{#[[1]],Name[#[[1]]],X[#[[2,1]]],Name[X[#[[2,1]]]]}&/@Cases[pts,_?(Last[#]=!={}&)]//TableForm