From POST-IT to 3D PRINTING: playing with squares and cubes

Diego Lieban, Jul 1, 2019

Some ideas to introduce tesselation in 2D and 3D spaces combining physical and digital resources.

Table of Contents

  1. 2D tessellation
    1. Tessellation
    2. Tessellation - Airplane
    3. POST-IT activity
  2. 3D tesselation
    1. Can we tesselate the 3D space?
    2. Cubo para Marcela UFTM
    3. dissecting a cube into 4 equal parts
  3. Application
    1. Scutoides
  4. Workshop outcomes
    1. Tessellation (Wurzeralm workshop_group activity)
    2. pictures

1.

2D tessellation

  • 1. Tessellation
  • 2. Tessellation - Airplane
  • 3. POST-IT activity

1.1.

Tessellation

original material from [url=https://www.geogebra.org/m/gt8vwpxk]Cecilia Russo[/url]
– Cecilia Russo, Diego Lieban

1.2.

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1.3.

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2.

3D tesselation

  • 1. Can we tesselate the 3D space?
  • 2. Cubo para Marcela UFTM
  • 3. dissecting a cube into 4 equal parts

2.1.

Can we tesselate the 3D space?

Look at this pattern. Based on that and the previous activity, can you think how many ways we can tesselate the 3D space? Why?
– Diego Lieban

2.2.

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2.3.

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3.

Application

Most popular examples for tesselation are usually connected with arts (as Escher, for instance). However, it is not restricted to that and, believe or not, we can find it even in our body cells.

  • 1. Scutoides

3.1.

Scutoides

Referències
Un objecte geomètric nou. Tres referències:[br][list=1][*][url=https://www.nature.com/articles/s41467-018-05376-1]L'article científic[/url] original.[/*][*][url=https://gizmodo.com/the-scutoid-is-geometrys-newest-shape-and-it-could-be-1827924643]Una explicació[/url] amb figures molt útil.[/*][*][url=https://elpais.com/elpais/2018/07/30/ciencia/1532938371_705599.html]Un article[/url] de Clara Grima.[/*][/list]
Aneu movent tot el que pugueu
Ara amb dos elements!
– Bernat

4.

Workshop outcomes

  • 1. Tessellation (Wurzeralm workshop_group activity)
  • 2. pictures

4.1.

Tessellation (Wurzeralm workshop_group activity)

– Diego Lieban

4.2.

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Information