Simple Polyomino Puzzles Version 2 by pmoews

Last crawled date: 3 years, 3 months ago

Polyominoes are shapes that are made by connecting squares by their edges. In this set of puzzles cubes are used in place of squares; the vertical direction is ignored and the puzzle pieces are considered to be made of connected squares.
Two cubes connected together are termed a "domino", three a "tromino", four a "tetromino", five a "pentomino", and six a "hexomino". The domino is unique, there are 2 different trominoes, 5 different tetrominoes, and 12 different pentominoes.
Here a set of puzzles designed to make children familiar with polyominoes. A target, a house, is given. The house has four rooms each made from 16 connected squares. Four sets of polyominoes are given each set colored differently. Each set contains a total of 16 cubes and can fill any of the rooms.
Puz3346 contains 2 trominoes, a tetromino, and a hexomino; puz3445 contains a tromino, two tetrominoes, and a pentomino; while puz3355a and puz3355b each have two trominoes and two pentominoes.
Notes for Instruction
There are multiple arrangements of the pieces for many of the puzzles. The 3x5 room with a single cube extension at the side has interesting arrangements for the puz3445 pieces, (a tromino, two different tetrominoes, and a pentomino). Each piece in turn can fill the single cube extension. There are 8 different arrangements of the puz3445 pieces that fill this room.
When the puz3346 pieces are used to fill the above room there is a unique answer. Only the tetromino can fill the cube extension and there is only one arrangement of the pieces.
A problem: Using pieces from any of the puzzles find 5 which have the property that they fill all rooms of the house.
A problem: Using pieces from any of the puzzles find 3 which fill the square room.
A problem: Using pieces from any of the puzzles find a fifth set of 4 which fill all the rooms of the house. Hint: Use 2 pentominoes and 2 trominoes.