Symmetry Under Transformation:

                                Cubical Maze Modules


The material which follows introduces a hybrid manipulative device, its uses, its construction, and its employment for what Albert Einstein described as “combinatory play” ,visualizing abstract concepts in spatial terms, from  the perspective of numerous disciplines.

For infant, child or world-class mathematician, from manipulation to study, “From Developing Conceptual Framework to Powerful Mind”, the Sommer Cube (S3) is a robust cognitive tool -- and it’s fun.



                             

                                                            open your mind



           Science  Technology  Engineering  Mathematics & Art

                                                                   Fun.



                                      

SIMPLE BLOCKS  

    (S3s in every pre-K “block corner” / elementary school: explore abstract concepts)

PROGRAMABLE LOGIC BLOCKS (COMBINATORIAL GATE ARRAY)  

    (“Levels:  High School (9-12), College, Research …  

     Math Topics:  Higher-Dimensional Geometry, Topology”)

CONSTRUCTION 

ROLLING BALL

PUZZLE 

MAZE

SCULPTURE


(3” X 3” X 3”)

(6” X 6” X 6”

(12” X 12” X 12”) 

(2’X2’X2’)


                                                     


                                               email  ms3@sommercube.com

© Michael S. Sommer, Ph.D. 2012