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Algebra TacTiles — image 1
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Algebra TacTiles

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These are used as tangible representations of algebraic multiplication of basic functions and expressions

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Model information

Category
Math
License
Creative Commons — Public Domain

Algebra TacTiles is an attempt to create a highly tactile interactive version of common algebra tiles for multiplication and simplification of an algebraic formula or expression

The board consists of two parts that can be connected via a hinge and an M3x10 screw. There are two inserts that we printed in TPU to reduce friction between the tiles and the board. 

There are three tile types:

  1. x^2 tile: this has dimensions x by x and area x^2 in both the positive and negative 
  2. x tile: this has dimensions x by 1 and area of x, again with a negative tile provided
  3. one tile: 1 by 1, area of 1, with a negative 1 tile

 

The tiles are designed such that an x tile can only connect to an x^2 tile along the x-dimension side, and to a one tile along the 1-dimension side so that incorrect connections do not fit correctly.

All parts are printed in PLA on Prusa MINI printers with two exceptions:

  • The board pieces were printed on MK3S printers due to size
  • The board inserts were printed on MK3S with FLEX filament

 

The example photos show:

  1. (x+1) * (x-2) = x^2 + x - x^2 - 2x - 1 = -x^2 -1
  2. (x+1) * (x+1) = x^2 + 2x + 1

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