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Question: All distances of point to point on the circle are to be integer.

Question:All distances of point to point on the circle are to be integer.

Tokoro 115 Maple
integer circle edited-question
March 02 2022
2

The two points on the circle has radius r=1/2. So, the distance is 1.
The three points on the circle has radius r=1/sqrt(3). So, the all distances are 1.
What is the smallest circle radius for 6 points and above numbers?  


 

All distances of point to point on the circle to be integer.
The two points on the circle has radius r=1/2. So, the distance is 1.
The three points on the circle has radius r=1/sqrt(3). So, the all distances are 1.
What is the smallest circle radius for 4 points and above numbers?  

> 

with(plots)with(plottools)

The answer of 5 points. r=16/sqrt(15)

   

plots[display](Cc5, plotlinesx5, nodes)

  

 

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