#MathArtChallenge Day 3: Isometric Cube Cutouts

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

The Challenge: Draw a cube by connecting 3 rhombi (see below). Then use lines parallel to those of the rhombi to embellish the cube.

Materials Needed: writing surface, writing utensil, straight edge, colors
Math concepts you could explore with this challenge: geometric construction, isometric grids, lines, perspective, polygons, polyhedra, topology, vertices/intersections

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 mathematical standards. I’ve listed possible connected math content above. 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. What kinds of “cut outs” make this visual most convincingly 3-dimensional?

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: Ms. P

Math Teacher in Minneapolis, MN.

16 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.


  2. Could you do a tutorial on how you used circles to accurately draw your 3-D shape?
    Thank you,
    Daniela Liska


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