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id	title	challengeType	forumTopicId	dashedName
5900f4291000cf542c50ff3c	Problem 189: Tri-colouring a triangular grid	5	301825	problem-189-tri-colouring-a-triangular-grid

--description--

Consider the following configuration of 64 triangles:

We wish to colour the interior of each triangle with one of three colours: red, green or blue, so that no two neighbouring triangles have the same colour. Such a colouring shall be called valid. Here, two triangles are said to be neighbouring if they share an edge. Note: if they only share a vertex, then they are not neighbours.

For example, here is a valid colouring of the above grid:

A colouring C' which is obtained from a colouring C by rotation or reflection is considered distinct from C unless the two are identical.

How many distinct valid colourings are there for the above configuration?

--hints--

euler189() should return 10834893628237824.

assert.strictEqual(euler189(), 10834893628237824);

--seed--

--seed-contents--

function euler189() {

  return true;
}

euler189();

--solutions--

// solution required

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