Skip to main content

New answers tagged

0 votes

Geometry Puzzle: Tangent Circles with Integer Radii

In Figure 12, one possible solution is depicted, with radii $1/146$, $1/27$, $1/23$, and $1/18$, respectively. This can easily be scaled by $90666$ times (the LCM) to become integers, namely $621$, $...
Sny's user avatar
  • 3,225
16 votes
Accepted

Gaps Between Ecuadorian Numbers

I believe the largest gap is Here is such an example (there may be an earlier example of a similar sized gap): To see why this is the biggest such gap,
Tyler Seacrest's user avatar
1 vote

Geometry Puzzle: Tangent Circles with Integer Radii

The closest I've got so far with some very brute force searching is this sequence of radii: 20, 19, 18, 17, 16, 14, 8, 5, 4, 3, 2. The final circle overlaps with the rightmost one by about 5....
Brandan's user avatar
  • 85

Top 50 recent answers are included