#MathArtChallenge Day 3: Isometric Cube Cutouts

Day3 MAC
Purple 3D looking cube with instructions for how to draw

Draw a cube by connecting 3 rhombi (see below). Then use only parallel lines to those in the rhombi to embellish the cube.

Materials Needed: Writing surface, writing utensil, straight edge, colors?
Math Concepts: Perspective, 3D projections
Day3 MAC teal
Green cube drawn with large patterned sections appearing to be “carved out”.

Depending on how you use this activity, you may engage with different standards. Here are a few suggestions for how you might integrate the 8 mathematical practices. Feel free to add your own suggestions in the comments!

5.) Use appropriate tools strategically. How precise does one have to be in order for this to appear convincing? What tools make that more apparent? How can you make use of color?

6.) Attend to precision. Without attention to detail here, the visual falls apart.

7.) Look for and make use of structure. Can you create an “impossible” illusion? How so? What structure do you need to make use of to succeed in that?

Author: Annie Perkins

Math Teacher in Minneapolis, MN.

13 thoughts on “#MathArtChallenge Day 3: Isometric Cube Cutouts”

  1. For students who do not have compasses:
    Using a bowl, trace 2 circles. Cut one out and fold it in half twice. Then use the radius of this folded circle to mark out vertexes for inscribing the hexagon around the circle that hasn’t been cut out. Connect every other vertex of the hexagon to the center of the circle to draw the rhombi.

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