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In this figure with two non-congruent equilateral triangles and three-fold rotational symmetry the distance between any two of the 6 edgesvertices is an integer. Can you give a solution?

I know only one essential solution (the GCD of the distances should be 1). If the two triangles are congruent the problem is much easier and there are many essentially different solutions.

enter image description here

In this figure with two non-congruent equilateral triangles and three-fold rotational symmetry the distance between any two of the 6 edges is an integer. Can you give a solution?

I know only one essential solution (the GCD of the distances should be 1). If the two triangles are congruent the problem is much easier and there are many essentially different solutions.

enter image description here

In this figure with two non-congruent equilateral triangles and three-fold rotational symmetry the distance between any two of the 6 vertices is an integer. Can you give a solution?

I know only one essential solution (the GCD of the distances should be 1). If the two triangles are congruent the problem is much easier and there are many essentially different solutions.

enter image description here

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In this figure with two non-congruent equilateral triangles and three-fold rotational symmetry the distance between any two of the 6 edges is an integer. Can you give a solution?

I know only one essential solution (the GCD of the distances should be 1). If the two triangles are congruent the problem is much easier and there are many essentially different solutions.

enter image description here

In this figure with two non-congruent equilateral triangles and three-fold rotational symmetry the distance between any two of the 6 edges is an integer. Can you give a solution?

I know only one solution. If the two triangles are congruent the problem is much easier and there are many solutions.

enter image description here

In this figure with two non-congruent equilateral triangles and three-fold rotational symmetry the distance between any two of the 6 edges is an integer. Can you give a solution?

I know only one essential solution (the GCD of the distances should be 1). If the two triangles are congruent the problem is much easier and there are many essentially different solutions.

enter image description here

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In this figure with two non-congruent equilateral triangles and three-fold rotational symmetry the distance between any two of the 6 edges is an integer. Can you give a solution?

I know only one solution. If the two triangles are congruent the problem is much easier and there are many solutions.   

enter image description here

In this figure with two non-congruent equilateral triangles and three-fold rotational symmetry the distance between any two of the 6 edges is an integer. Can you give a solution?

I know only one solution. If the two triangles are congruent the problem is much easier and there are many solutions.  enter image description here

In this figure with two non-congruent equilateral triangles and three-fold rotational symmetry the distance between any two of the 6 edges is an integer. Can you give a solution?

I know only one solution. If the two triangles are congruent the problem is much easier and there are many solutions. 

enter image description here

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