MMACA Modules

discover the mmaca modules

At MMACA we are constantly working to create and improve materials that allow us to experiment with mathematics. All our modules allow readings at different levels. We want all visitors to leave our exhibitions having lived a positive experience.

Modules of the museum by rooms

Discover the modules of each room of the permanent exhibition of Cornellà "Mathematical Experiences"

You can download the MMACA Module Catalogue (Completed in 2017) or see the modules of each of the rooms of the permanent exhibition "Mathematical Experiences" of Cornellà.

Eratosthenes Room (E)

Lobby, shop and planet earth

See the room

Lluís Santaló Room (LLS)

Statistics and probability

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George Pólya Room (GP)

George Pólya Room (GP)

Calculation and number of gold

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Martin Gardner Hall (MG)

Martin Gardner Hall (MG)

Combinatorics, tiling and Leonardo bridge.

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Emma Castelnuovo Room (EC)

Emma Castelnuovo Room (EC)

Optical illusions and mirrors

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Sala-Pere-Puig-Adam-PPA

Pere Puig Adam Room (PPA)

Geometry, curves, polyheders and inductive formulas

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Maria Montesori Room (MM)

Maria Montessori Room (MM)

Space for the first years of primary school

See the room

More information about some modules

A través del web volem facilitar les explicacions, les orientacions, les guies, les lectures, els contextos històrics, els suggeriments i les preguntes de cada mòdul.  Estem elaborant material per cadascun dels mòduls i, a poc a poc, seguirem ampliant aquest apartat. Us animem a col·laborar en aquesta tasca de recopilació i documentació.  Feu-nos arribar els comentaris i suggeriments.

GEOMETRY

Hypocycloides and epicicloids

The curves that are obtained by rolling circumferences of different sizes.

Kaleidoscope Modulate 3333

Polyhedral kaleidoscopes

The tables where using 4 mirrors we see all the important polyhedras.

cornella_bernat_amb_visita

The Circle of Fire

Look at the sections of objects illuminated by the red LEDs of this ring.

modul_llibre_miralls

The Book of Mirrors

It varies the angle of the mirrors and thus creates the different polygons.

Polyhedrene case packing

Try putting the tetraeder and octahedre in the cube.

The Cycloid

Two balls, one low in a straight line, the other curving. What's the point before?

Dual polyhedron

Put the blue poles, perpendicular to the edges of the dodecaedre to build the icosaedre.

modul_3_triangles_equilaters

Three equilateral triangles

With all the pieces we build 3, 2 or 1 equilateral triangles

The Cone of Apoloni

The artisanal wooden cone that shows its sections: Circumference, ellipse, parabola and hyperbola.

Polygon dissections

With the same pieces, it reconstructs two polygons.

modul_mosaics_miralls

Flat mosaic kaleidoscopes

Six boxes with interior mirrors that allow you to see a huge variety of mosaics.

modul_taula_multiplicar

The table to multiply 3D

The old known multiplication table, turned into sculpture.

Escher's lizards

Escher's lizards

A tiled tiles with tiles in the form of a lizard designed by the artist M. Escher.

Pythagoras

Multiple ways to visualize and understand this famous theorem 

visit cornella Santi teaching penrose

Penrose tesselle

A non-periodic tiling.

modul_polydron

The Polydron

Build polyhedras with magnetized pieces.

Leonardo Bridge

Build this bridge, without any support, devised by Leonardo

Pack cylinders

How do more cylinders fit?
In gridded mesh or in triangular mesh.

Catenary arc

The catenary arch and the semicircular arch

We raise these arches with pillows.

Ames' room

A surprising room where geometry makes things change in size.

cupules_patro3_nens

Leonardo's domes

Workshop where these self-sustaining structures are built.

Length, surface and volume

How do the lengths, surfaces and volumes of similar objects change?

Strategy, combinatorics

The Blurry Knot

Three rings to link them in a very special way.

Inductive formulas

Displaying numeric properties with buckets and other pieces.

modul_hanoi

The Towers of Hanoi

It is necessary to move the tower by moving the discs one by one and always leaving the little ones on the grains.

Painting the ball

Put the pieces so that the colors are not on the side. It is a version of the 4 color theorem.

Cutlery and glasses

Make as many different sets as possible got-spoon-knife. 

Sam Loyd's broken chess board

The puzzle of rebuilding the chessboard that seems difficult, but that the organization facilitates.

Cornella_sala_martin_gardner_gratacels

Skyscraper

Put the skyscrapers taking into account how many you see from each position.

modul_camins_hamilton

Hamilton's paths in the dodecaedre

With the chain we take a tour that passes through all the vertices of the dodecaedre

Paddocks

Put the fences of the pens, the figures indicate the amount of fences around them.

The Greco-Latin Squares

Place the 16 pieces without either repeating colors or numbers in rows or columns.

List of module pages in alphabetical order

  1. 5 Triangles
  2. 6 seconds
  3. Cylindrical anamorphism
  4. Kaleidoscopic chain
  5. Flip box
  6. Spherical kaleidoscope
  7. Polyhedral kaleidoscopes
  8. Hamilton's paths in the dodecaedre
  9. Turned paths
  10. Cutlery and glasses
  11. Matches
  12. Counting stones
  13. Paddocks
  14. Poisoned dice
  15. Intransitive dice
  16. From 4 to 12
  17. From octahedre to cube
  18. Deu polígons amb simetries
  19. Undo the sum
  20. Voronoi diagram
  21. Polygon dissections
  22. Dodecahedron with 3 mirrors
  23. The drum, the samples and the confidence intervals.
  24. The Circle of Fire
  25. The Cone of Apollonius
  26. The SOMA Cube
  27. The Book of Mirrors
  28. The number of gold
  29. The Blurry Knot
  30. The Trapped Pentagon
  31. The Polydron
  32. Leonardo Bridge
  33. Sam Loyd's broken chess board
  34. Els barrets d’Einstein
  35. Flat mosaic kaleidoscopes
  36. The Greco-Latin Squares
  37. Pack cylinders
  38. Polyhedrene case packing
  39. Fit sides of the same color
  40. Epicicloids and hypocycloids
  41. Prime factors
  42. Inductive formulas
  43. Friezes with parallel mirrors
  44. Geocares
  45. Skyscraper
  46. 3D printing
  47. Polygon intersection
  48. Investor
  49. The catenary arch and the semicircular arch
  50. Chance is not regular
  51. The Earth's sphere
  52. The staff were very friendly and helpful.
  53. The Vitruvian Man
  54. The Bell of Gauss
  55. The Cycloid
  56. Hilbert's Curve
  57. The piggy bank
  58. La lemniscata
  59. The lottery, a voluntary tax
  60. The paradox of the ticket
  61. The tile of Can Mercader
  62. The table to multiply 3D
  63. Math labyrinth
  64. Laberints
  65. Leonardo's domes
  66. Escher's lizards
  67. The Towers of Hanoi
  68. Length, surface and volume
  69. Maneuvering cars
  70. Mesopotamian mathematics
  71. Mirror with polygons
  72. Letter Mirror
  73. Clown Mirror
  74. Mirallet, mirallet
  75. Filling circles
  76. Sort boxes or not
  77. Square paradox
  78. Couples
  79. Painting the ball
  80. Pythagoras
  81. Dual polyhedron
  82. Posar fitxes numèriques al quadrat, cercle i triangle
  83. Fraction puzzle
  84. Square Square
  85. Panda square
  86. Quatre cubs de colors
  87. Qui és qui de fraccions
  88. Reptes de càlcul
  89. Half-life
  90. Two-triangle symmetries
  91. Tangram
  92. Tangram egipci
  93. Teorema de l’amistat
  94. Penrose tesselle
  95. Three possibilities
  96. Three equilateral triangles
  97. Magic triangles
  98. Una suma d’infinits termes
  99. Dress in polyhedras