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
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?