# Triangle to Hexagon Dissections, Math

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## 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.

## 3D printer file information

• 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

• Publication date: 2017/12/26 at 19:05

## Creator

STEAM educator, learning from and working with K-12 STEAM teachers to explore new ideas of teaching and engagement. I firmly believe ART is at the core of STEM learning or all human learning! I owe my ideas and designs to the hundreds of K-12 children and teachers and university professors I have had the pleasure of working with, in multiple disciplines-- math, science,engineering language arts, social studies, early childhood education and more! All mistakes, of course, are mine! There is no warranty or liability whatsoever implied or explicit behind the designs or ideas. They are all posted for their potential educational values.

When working with children, please strictly observe all safety and health procedures! Please refer to the NSTA safety guides: http://www.nsta.org/safety/.

LGBU Contact: LGBU@SIU.EDU

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