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All the polycubes through order 5
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11
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updated April 29, 2023

Description

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These are all the polycubes of order 1 through 5. Order 1 is just a cube. Order 2 is a dicube, two cubes face to face. Order 3 (tricubes) is three cubes either in a line or in an L shape. There are eight tetracubes (order 4) and 29 pentacubes (order 5).

My nomenclature is a little idiosyncratic. P1 and P2 are the cube and dicube. For orders 3 and 4 the name is Pn_X where n is 3 or 4 and X is a letter reminiscent of the shape of the piece. For order 5 the planar ones are P5_X — here X is the standard pentomino letter as defined by Solomon Golomb. The nonplanar ones start with P5_ and then letters and numbers that somewhat arbitrarily refer to the shape of the bottom layer (in some orientation…), the number of cubes in the top layer, and a letter to distinguish these.

Note that two of the cubes in P5_U have been rescaled slightly to provide enough clearance in the “notch” to accommodate another piece without forcing.

Printed at 100% scale each cube is 25 mm on a side.

Nearly all the polycubes can be printed without supports. The exceptions are P5_L2a and P5_L2b.

Model origin

The author marked this model as their own original creation.

License


Highlighted models from creator

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