8-Mani and Calabi - Yau - 4 Manifold, Calabi - Yau, Gosset 421 Polytope

Code Number:
8-Mani and Calabi - Yau
Demo Title:
4 Manifold, Calabi - Yau, Gosset 421 Polytope
Condition:
Excellent
Principle:
Dimensional Manifolds
Area of Study:
String Theory
Equipment:
Saab Manifold.
Procedure:

Use a car exhaust manifold to spoof a multi-dimensional manifold.

The Calabi - Yau manifold is etched in a 4 inch cube of glass with a laser.  Note the different structures when viewed through each face.

The second crystal (picture #3) is a projection into 3-D space of the Gosset 421 polytope.

References:
  • Seth Caplan, Dano Johnson, Mark Vondracek, "Using 'Flatland 2: Sphereland' to Help Teach Motion and Multiple Dimensions", TPT, Vol. 53, #1, Jan. 2015, p. 17.
  • Don Lincoln, "Extra Dimensions of Space", TPT, Vol. 51, #6, Sept. 2013, p. 334.
  • Cover Photo, TPT, Vol. 51, #6, Sept. 2013.
  • Hannah Price, "Simulating Four-Dimensional Physics in the Laboratory", Physics Today, Vol. 75, #4, April 2022, p. 38.
  • Paul M. Goldbart and Randall D. Kamien, "Tying it All Together", Physics Today, Vol. 72, #2, Feb. 2019, p. 46.
  • Gordon Kane, "String Theory and the Real World", Physics Today, Vol. 63, #11, Nov. 2010, p. 39.
  • Andrew J. Hanson, "6D Calabi-Yau Manifold - Front Cover", Physics Today, Nov. 2010.
  • Alex Hutchinson, "Five-Dimensional Data Storage", Popular Mechanics, Nov. 2013, p. 24.
  • Stan Gibilisco, "Are There Really Four Dimensions", More Puzzles, Paradoxes and Brain Teasers, p. 19.
  • Stan Gibilisco, "Dimensional Constraints", More Puzzles, Paradoxes and Brain Teasers, p. 94.
  • Stan Gibilisco, "Partial Dimensions", More Puzzles, Paradoxes and Brain Teasers, p. 118.
  • "Ask The Experts", Uncle John's Bathroom Reader, p. 40.

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