Blog - Geometiles®

Several years ago, I explored approximating Pi with polygons made of Geometiles. I described my findings in this blog. Fast ...

This story started with our desire to expand the capability of the Geometiles® to make transformable hinged constructions. In particular, ...

I recently had the honor of having my mathematical art exhibited in a non-mathematical setting for the first time. The ...

In these very uncertain times, I find it comforting to look at something eternal and classical. It’s even better if ...

This was the 5th time that the National Museum of Mathematics (MoMath) hosted its annual math festival. Last year, the ...

For the past several months, our lives have been essentially ruled by a virus. As a result, virology is a ...

This past Valentine's Day I decided to build a Geometiles version of Robert Indiana's iconic Love sculpture. I wanted to ...

Being an exhibitor at the Joint Mathematics Meetings gives one a unique perspective on the event. People stop by our ...

I recently participated in my first collaborative art project with Bjoern Muetzel, Ph.D. We had so much fun working together ...

Several months ago, Bjoern Muetzel, Ph.D., had the idea to glue plastic mirrors to the inside faces of a dodecahedron ...

Have you ever made a Moebius strip? Simply take a strip of paper give it half a twist, and tape ...

On May 4, 2019, the biannual National Math Festival took place in Washington, D.C. I was fortunate to host a ...

Title	Grade Level	Topics	CCSS
Tangrams	Grades 1+	Constructing 2-dimensional shapes	1.G.A.2
Shape Challenge, grade 2 and up	Grades 2+	Constructing polygons	2.G.A.1
Shape Challenge, grade 4 and up	Grades 4+	Constructing polygons; the 4th grade version reflects students’ familiarity with angles and classifying triangles.	3.G.A.1, 4.G.A.1, 4.G.A.2
Fractions	Grades 1 through 5	This sequence takes students from very basic understanding of fractions all the way through multiplying and dividing by fractions.	1.G.A.3, 2.G.A.2, 2.G.A.3, 3.NF.A.1, 3.NF.A.3, 4.NF.A.1, 4.NF.A.2, 4.NF.B.3, 4.NF.B.4, 5.NF
3D Solid Understanding	Grades 2+	Constructing and analyzing a rectangular and other prisms	1.G.A.2
Angle Mania	Grades 4+	Measuring angles, classifying triangles by angle types.	4.MD.C.5, 4.MD.C.7, 4.G.A.1, 4.G.A.2
Ratios plain and golden	Grades 6 through 8	Ratios and proportional relationships; Golden Ratio.	6.RP.A.1, 7.RP.A.2
Volume and Cavalieri's Principle	Grades 6 through 8	Volume and surface area.	HSG.GMD.A1, HSG.GMD.A2, HSG.GMD.A3
Triangles: similar, special, and right	Grades 8+	Similar polygons, special triangles, Pythagorean Theorem, irrational numbers.	8.NS, 8.G.A.4, 8.G.B.6, 8.G.B.7
Platonic and Archimedean Solids	Grades 1+	Platonic and Archimedean solids	Enrichment topic