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MathKit 6

dynamic mathematics software

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SAMPLE MODELS

Wire Puzzles

These activities are intended to test and develop your spatial imagination. You are given three views of a nonplanar polygonal path (think of it as a bent piece of wire) inscribed in a cube. Find this path and draw it in the given cube. You can check your construction by looking at the cube from three different sides.

Front, Side, and Top Views


As a warm-up before you get to the puzzles,
try to create your own wire shape and view it
from the three different directions.

Puzzles

You are given the front, side, and top views of a nonplanar polygonal path without selfintersections inscribed in a cube so that the vertices of the path coincide with vertices of the cube.

Find this path and draw it on the cube’s image at right. You can see the three views of the shape you’ve constructed and check your solution by pressing the three corresponding buttons.

Puzzle 1

Puzzle 2

Puzzle 3

Puzzle 4

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