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 conceptsyou 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?

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.

Wow. Just wow. That’s so cool! You guys are really good at this!!!

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much peng

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Amazing😁

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That is so cool, really amazing! Keep up the work.

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This one is really intriguing. I’ll be playing with it for a long time. Thanks!

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I am having so much fun going through these challenges. Thank you so much for sharing with the world!

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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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I would like to see the process of how this gets made.

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Please show us how to do it until you do no it it is terrible

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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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yeah

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This looks fun and i would like to know how to make it step by step.

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