Kaleido: El fascinante cruce entre el arte de Escher y la estrategia matemática

Kaleido: The Fascinating Cross Between Escher's Art and Mathematical Strategy

Kaleido: The fascinating intersection of Escher's art and mathematical strategy

Is it a design object, a geometric sculpture, or a board game? The answer is: all of the above. At Proyecto Ensamble, we have brought Kaleido to life, a kaleidocycle inspired by the geometric figures that captivated artist M.C. Escher, but with an innovative twist: a mathematical game system integrated into its very structure.

What is a Kaleidocycle?

A kaleidocycle is a ring of tetrahedrons that has the astonishing ability to rotate infinitely on itself through an inversion movement. It is a piece of paper engineering that challenges spatial perception. But in Kaleido, this movement is not just aesthetic; it is the engine of its gameplay.

How to Play Kaleido? The Cycle of Additions and Subtractions

Unlike traditional puzzles, Kaleido is a competition of numerical strategy. The graphic design of each piece is not random; it contains the elements necessary for a mental duel. Here are the official rules:

  1. Start: Choose any face of the kaleidocycle and one of its 6 triangles. Make sure it is not a subtraction.
  2. Add: Sum the numbers of the chosen triangle. The result indicates how many turns you must rotate the kaleidocycle inwards.
  3. Signs (+) and (-):
    • (+) Plus: Find the larger number + the color of its circle.
    • (-) Minus: Find the smaller number + the color of the entire triangle.
  4. Subtractions: If an extra circle surrounds the larger number, it's a subtraction! Subtract the larger number minus the smaller to get the turns to rotate. Subtractions are only played if you land on them, not at the beginning.
  5. Objective: Complete a predetermined sequence of additions and subtractions at the start (e.g., 2 additions and 1 subtraction). The first one to achieve this wins!

Chilean Engineering for Future Geniuses

Kaleido is a product developed, edited, produced, and distributed by Proyecto Ensamble in Chile. It is designed for creatives and geniuses aged 7 to 99. It is a perfect tool for STEM (Science, Technology, Engineering, and Mathematics) learning through touch and sight.

Watch the tutorial in action

Want to see how the inversion movement flows and how the rules are applied in real-time? Watch our quick video tutorial here:

Kaleido is a non-toxic product. All rights reserved © 2025 Proyecto Ensamble. Visit us at proyectoensamble.com to learn more about our brand and modular design.

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