# Brit’s Alphabet Block Cube

This puzzle is part of the Monthly Topic Challenge #11: Now in 3D.

Please do not write a computer program to solve this by brute force. Use of existing online tools like anagram solvers or dictionaries is okay, though it is a more interesting challenge to solve by hand. A solve path exists.

Brit has a set of 27 alphabet blocks. They depict the letters A-Z (one symbol per block) on each face, except for block 27, which has a picture of the sun.

She has stacked them into a 3x3x3 cube in the center of a table in front of her.

Brit announces: “The 9 letters facing me can be arranged to form a word describing the illumination of my cellphone.”

Gus, seated to her right, announces: “The 9 letters facing me can be arranged to form a word describing the direction the Mississippi River flows.”

Cary, seated to her left, announces: “The 9 letters facing me can be arranged to form a word describing the state of an outward curve.”

Otis, seated across from her, announces: “The 9 letters facing me can be arranged to form a word meaning ‘leaps too far’.”

Harold, standing over her shoulder, looks down at the stack and announces: “The 9 letters facing me can be arranged to form a word describing what something has become when it is made more civil or relatable.”

No one can see the block with the Sun. Which other block is not visible to anyone? (Explain) .

• Findings: Sadly, a "nice" solution to the 9 letter, 6 face version of the problem does not seem to exist. There are only a tiny number of "nice" 5 face solutions, this being perhaps the best. Allowing famous proper names and unusual words adds a few hundred more, but still only for 5 faces. I have not fully investigated the 8-9 letter (1 sun) 6 face version, or the version where the sun is used for one duplicate letter block.
– Amoz
Jun 20, 2023 at 13:06