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THREE-DIMENSIONAL GEOMETRY (HANDS-ON)
TWO BOOKS - PLASTIC TRIANGLES - CUTOUTS - STRAWS

Here are 3 sample pages from our Geometry Workbooks, plus photos of polyhedra built with Jenetic Jigsaw Triangles.

Note: These kits are not for sale, they are only available for loan to teachers. We loan custom kits (including workbooks and triangular panels) for teachers to use and evaluate. See the Order Page for details on participating in this evaluation program.



 


GEOMETRY WORKBOOK

INDEX: Explorations, Observations, and Analysis

  1. Some basic polyhedra and their various properties.
  2. Review two and three dimensional calculations: squaring, trianguling, cubing,and tetrahedroning.
  3. Cube, octa, and tetra volume relations.
  4. Subdividing the octa.
  5. Building a two-frequency octa.
  6. Building cubes and more from tetra.
  7. The rhombic dodeca and more.
  8. Subdividing the equilateral tetra.
  9. Space-filling systems and their transformations.
  10. Charting discovered information:volume, surface, angles, ratios.
  11. Relation of polyhedra volumes surface area.
  12. Tetra and cube inscribed in sphere.
  13. Patterns of growth.

Three tetra
1, 2, and 3 frequencies


Rhombahedron
2 tetra and 1 central octa forms 6 diamond faces


4 interlocking
2-frequency truncated tetra


Tetra inscribed in a cube with X, Y, Z axes noted

 

Cubocta

 

Oct-tet truss with edge to edge axes of rotation

 

Four basic triangles

 

4 open-faced cube octahedrons around 2 half octas

 
 

Stellated octa

 

5 open-faced octas around a central point under slight stress

 

 



Packing study


 

 



10 triangles form 5 saddles


2-frequency octa

 

Icosahedron

2 twinned cubes

 

 

2 frequency cube inscribes a stellated octahedron




EXPLORATIONS ACADEMY GEOMETRY

Using Jenetic Jigsaw Manipulatives


Two frequency-truncated tetra with three octahedrons added at the truncations


Building a stellated octahedron inscribed in a two-frequency cube



Basic Tetrahedron


Paper cutouts of 1/4 tetras, 1/4 octas, and 1/6 cubes for building more complex polyhedra


Making a cube with paper cutouts added to a stellated octahedron




Contact Us

To order Jenetic Jigsaw kits or schedule a presentation at your school, email us or phone 360-671-5343.




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