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MathLapse: String vs Beads

“Stringing” a 3-dimensional integer lattice of “beads” with a Hamiltonian path (one that crosses every vertex but only once) as a visual showcase of 1-1 correspondence with the integers.

This is a bit like the Aleph-Null version of how Space-filling curves were discovered after Cantor’s surprising proof that the continuum of unit interval has the same cardinality as that of the unit cube.

Knots in 4D

4D-knots: what are they? Can we visualize them?
Are there interesting math problems about them?

Fractal Fugues

Fractal Fugues are self-similar structures made from a simple motif which generates copies of itself. These copies are transformed in the dimensions of time and pitch.

Science Spaces: An Open Workshop Concept to Create Science Exhibits

We introduce and outline a workshop concept called Science Spaces aimed at High School students, which combines mathematics and natural sciences with art to strengthen creativity, imagination, and perceptual abilities. The workshop guides the participants through the process of designing and implementing a public exhibition.

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