Resurrection shuffle

Article Abstract:

A deck of cards arranged such that the first card in the bottom half of the original decks ends up on top would assume its original order by performing the in-shuffle technique several times. A card shuffled in such manner tends to take the place of another until it reaches its original sequence.

Research, Mathematical recreations, Cards, Card games, Playing cards

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A bundling fool beats the wrap

Article Abstract:

A bundle of objects wrapped in film is less likely to collapse if the total volume of the pack, including the objects and air spaces, is as small as possible. The pack's volume also should still be convex. Mathematical equations are provided.

Column, Volume (Cubic content), Volume (Geometry)

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Knotting ventured...

Article Abstract:

Knots can be used by topologists to study the mathematical principals of symmetry. Examples of knots which show examples of rotational symmetry, diagonal flip, rotation, central inversion and reversed symmetry are discussed.

Symmetry, Topology

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