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Flexagons


The Magic Wallet and Its High Tech Application by Alexey Ivchenko

Alexey Ivchenko’s instructions for making a “Magic Wallet”

HTML

PDF

“From a Magic Wallet to an Adaptive Wing” by Alexey Ivchenko

Paper Magic Wallet Instructions

5-minute Paper Magic Wallet on YouTube


Paper Flexagon Templates

Hexaflexagons

Tri-tetraflexagons

Winter Holidays Greeting Card


Other Flexagon Resources

  • Vi Hart’s hexaflexagon page, including the Hexaflexagon Tortilla Video
  • Scott Sherman’s Flexagon Page

Jacob’s Ladder Resources

Cotsen Children’s Library blog at Princeton University

  • Cotsen Children’s Library blog at Princeton University
  • “A Christmas Tree” by Charles Dickens
  • History of Jacob’s Ladder by writer and origami designer David Mitchell
  • “Luca Pacioli and His 1500 book De Viribus Quantitatis”. Dissertation by Tiago Hirth

Conferences

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Common Core State Standards and Geometiles activities
TitleGrade LevelTopicsCCSS
TangramsGrades 1+Constructing 2-dimensional shapes1.G.A.2
Shape Challenge, grade 2 and upGrades 2+Constructing polygons2.G.A.1
Shape Challenge, grade 4 and upGrades 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
FractionsGrades 1 through 5This 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 UnderstandingGrades 2+Constructing and analyzing a rectangular and other prisms1.G.A.2
Angle ManiaGrades 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 goldenGrades 6 through 8Ratios and proportional relationships; Golden Ratio.6.RP.A.1, 7.RP.A.2
Volume and Cavalieri's PrincipleGrades 6 through 8Volume and surface area.HSG.GMD.A1, HSG.GMD.A2, HSG.GMD.A3
Triangles: similar, special, and rightGrades 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 SolidsGrades 1+Platonic and Archimedean solidsEnrichment topic