Three-dimensional symmetry |
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Authors: | Martin Cooper |
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Institution: | (1) The University of New South Wales, 2033 Kensington, NSW, Australia |
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Abstract: | The errors made when high-school students locate reflections in horizontal, vertical or slanting mirrors were examined. A questionnaire consisting of thirty-six perspective drawings, each portraying an upright transparent cube containing a two-sided mirror, was given to 394 Australian students from grades 7, 9 and 11. On a corner, an edge, or a face of each cube was drawn either a point or a straight-line segment. The task was to draw its image (reflection). Analysis of errors revealed a strong tendency towards horizontal or vertical sliding, suggesting that the edges of the cube act in much the same way as a horizontal-vertical background grid does in the two-dimensional case. |
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