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Introduction
The main goal of Cubix is to find out (in any possible way) the volume and area
of a structure built from unit-sized cubes. There are three sets of problems -
for beginners, for advanced and for champions. Every set has 9 tasks in
ascending order of difficulty. The sets and the tasks are described in an
external text file, which can be modified, thus the end users can add their own
problems. When the cubix structure is displayed on the screen, the user can
rotate it with the mouse. This is important for some cubix structure,
especially those which contain "gaps", "wholes" or "depressions". By default
the cubes in the structure are colored in yellow. The user can ask the
application to recolor each block of cubes in its own color. The application
keeps track of users, the solved problems by each user and the time used by
users for solving the problems.
Activities
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Find the volume and area of a structure:
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by counting the number of cubes
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by calculating the number of cubes.
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Find various methods/strategies for calculation of volume and
area. Determine the conditions when a specific method can be applied.
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Practice "divide-and-conquer" method - split the structure into
simpler substructures, examine them individually, and aggregate the final
result.
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Practice "symmetry" method - split the structure same-shaped
substructures, examined in details only one of them, and aggregate the final
result.
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Practice "cuboids" method - use formulae to calculate the
volume and area a structure which is parallelepiped. Try to understand the
'meaning' of the formulae.
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Practice the "look around" method for calculation of area of
non-concave structures.
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Create new problems for others to solve. Compare your result
with the result of your 'opponent'.
DALEST
Cubix is a DALEST application. To see the
others go to the DALEST page.
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