**House of Mirrors**

##### (Mikhail Veretennikov, 2019)

I was so happy when Mikhail contacted me with this extension of the spectral blaster puzzle into 2D. The solutions here are all his… except the impressive 11×11 monstrosity on the last slide 😉

Thank you

PS. Contact me: gord at mathpickle.com with any puzzling ideas. I’ll give you full credit and we can have fun letting the world discover your puzzle.

PPS. A prize for anyone who can find a house of mirrors with more than two colors and a perfect feng shui score. (see the presentation for an explanation 😉

PPPS. Below are three dodecahedra of mirrors. Which one will survive without shattering?

**Standards for ****Mathematical Practice**

MathPickle puzzle and game designs engage a wide spectrum of student abilities while targeting the following Standards for Mathematical Practice:

##### MP1 Toughen up!

This is problem solving where our students develop grit and resiliency in the face of nasty, thorny problems. It is the most sought after skill for our students.

##### MP3 Work together!

This is collaborative problem solving in which students discuss their strategies to solve a problem and identify missteps in a failed solution. MathPickle recommends pairing up students for all its puzzles.

##### MP6 Be precise!

This is where our students learn to communicate using precise terminology. MathPickle encourages students not only to use the precise terms of others, but to invent and rigorously define their own terms.

##### MP7 Be observant!

One of the things that the human brain does very well is identify pattern. We sometimes do this too well and identify patterns that don't really exist.