Naming the Superquints
The 18 superquint pieces (17 unique and one duplicate) are all the shapes of five cubes joined on their faces in three dimensions. Here are their names, patterned after the alphabet system of the original 12 quints. Notice that a letter represents the largest cross-section of the piece, and a number represents the position of the cubelet attached on the upper level (shown dark in the drawing).

Here is how the superquints look in block form with their separate cubes visible, each piece seen from two different perspectives. They are shown in the position and order that makes them especially easy to visualize: L1, L2, L3, L4; Q and A; J1, J2, J3, J4; T1 and T2; N1, N2; S1, S2; and V1 and V2.

A superquint can be viewed from a great many angles and perspectives. Here's just one superquint, the L1 piece, as seen from various different angles:

And below they are as superquints, without the lines that indicate their division into cubes — the hand-finished, laser-cut wood playing pieces of the Super Quintillions set:

After you've played with the Super Quintillions set for a little while, you'll be able to recognize any piece by name even when it's upside down and backwards or in any of up to 24 different positions in a 3-D grid.

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