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The Popular Letter Chessboard

Puzzling Asked on February 19, 2021

You are given a Chess board with black and white squares.

  • You must fill your Chess board with Merriam Webster English words, or other equivalent dictionnaries if you prefer such that each square contains a letter ;

  • You can fill vertically or horizontally but not diagonaly ;

  • You can have more than one word in a row or column. For instance: puzzle and be ;

  • You can only use a word once.

On your final grid, a letter (actually several is also mathematically possible) will be more frequent than all the other letters. Your aim is that this letter appears as much as possible. If it appears on a white square, you score one and if it appears on a black square, you will score two.

On the next incomplete example, letter E is the most frequent, it appears 6 times. Twice in a black square and four times in a white one. So, up to now, this example scores 8. It is not complete because 25 squares are empty on bottom right and 10 are also missing on bottom left.

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Note that the different words used on this example are:

Examples, A, Puzzles, Puzzle, Be and Chess.

Which grid with highest score can you find?

2 Answers

The rules of the question state that:

On your final grid, a letter (actually several is also mathematically possible) will be more frequent than all the other letters. Your aim is that this letter appears as much as possible.

If we interpret this to mean that all letters appearing with the greatest frequency contribute to the score then it is possible to achieve:

Like so:

Correct answer by Stiv on February 19, 2021

To start things off, here's one with a score of 70

The words are

Answered by Lukas Rotter on February 19, 2021

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