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MERLOT II


    

Peer Review


Hypercube

 

Ratings

Overall Rating:

4 stars
Content Quality: 4 stars
Effectiveness: 4 stars
Ease of Use: 4 stars
Reviewed: Oct 13, 2006 by Mathematics
Overview: This material gives a brief introduction to projecting higher dimensions to two-dimensional paper and shows how to use the technique to draw three-, four- and five-dimensional (hyper)cubes.
Learning Goals: Visualization of higher-dimensional objects.
Target Student Population: Students from high school geometry to graduate level topology.
Prerequisite Knowledge or Skills: Minimal. Knowledge of points, lines, squares and cubes are enough.
Type of Material: Simulation.
Recommended Uses: Classroom demonstration or self-study.
Technical Requirements: Java-enabled browser.

Evaluation and Observation

Content Quality

Rating: 4 stars
Strengths: Nice explanation how higher-dimensional figures are projected to produce a two-dimensional picture.
Concerns: The explanation is limited to cubes, but then again, that is the learning goal.

Potential Effectiveness as a Teaching Tool

Rating: 4 stars
Strengths: Focused explanation of how to draw hypercubes. Will be successful for this task. It can also inspire the realization that other objects, such as tori (which can also be formally defined as the four-dimensional product of two circles) are drawn similarly.
Concerns: To widen the scope to other interesting objects like tori, a teacher needs to provide an explanation based on the above remark or something similar. It is not clear whether students could make this type of leap on their own. Then again, these extensions were not part of the original scope.

Ease of Use for Both Students and Faculty

Rating: 4 stars
Strengths: No problems with the use of the applet. Good explanation.
Concerns: Limited scope.

Other Issues and Comments: Other material that may be of interest to users of this resource: http://www.merlot.org/merlot/viewMaterial.htm?id=74369 http://4d.shadowpuppet.net/ (Uses Flash)