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Triangle to Hexagon Dissections, Math

Capture d’écran 2017-12-26 à 18.52.27.png Triangle to Hexagon Dissections, Math
Capture d’écran 2017-12-26 à 18.52.21.png Triangle to Hexagon Dissections, Math
Triangle_Hexagon_50mm.stl Triangle to Hexagon Dissections, Math
Triangle_Hexagon_80mm.stl Triangle to Hexagon Dissections, Math
Triangle_Hexagon_Two_Pattern.stl Triangle to Hexagon Dissections, Math
Triangle_Hexagon_Ver2_50mm.stl Triangle to Hexagon Dissections, Math
Triangle_Hexagon_Ver2_80mm.stl Triangle to Hexagon Dissections, Math
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Creation quality: 5.0/5 (1 vote)
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  • 2.3k views
  • 5 likes
  • 75 downloads
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3D design format
STL Folder details Close
  • Triangle_Hexagon_50mm.stl
  • Triangle_Hexagon_80mm.stl
  • Triangle_Hexagon_Two_Pattern.stl
  • Triangle_Hexagon_Ver2_50mm.stl
  • Triangle_Hexagon_Ver2_80mm.stl

Learn more about the formats
Publication date 2017-12-26 at 18:05
Design number 18932
LGBU

LGBU

3D printer file info

3D model description

Dissection is an fascinating theme of mathematics, not only in geometry but also in algebra. Given an equilateral triangle, we could dissect it in many interesting ways and reassemble the pieces into other shapes. Here we have two dissections that allow an equilateral triangle to be transformed into two regular hexagons. Each dissection has six pieces. Symmetry plays an important role here. This type of activities are appropriate for K-8 mathematics, providing engaging experiences for students to have first-hand experience with design and mathematics.

The pieces are 4mm in thickness; the triangular side length is 50mm and 80mm, respectively. Please observe ALL safety procedures when using small pieces with young students.

References:

Frederickson, G. N. (1997). Dissections: Plane & fancy. Cambridge, UK: Cambridge University Press.
http://demonstrations.wolfram.com/HingedDissectionOfAnEquilateralTriangleIntoTwoHexagons/

3D printing settings

Rafts:

No

Supports:

No

Resolution:

.15 to .2mm

Infill:

10-20%

Notes:
Nothing special. Have fun playing with the shapes.

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