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Full Color Illustrations of the Fourth Dimension, Volume 2: Hypercube- and Hypersphere-Based Objects

by Chris McMullen

A visual tour of objects in four dimensions

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AlbakiReads Editorial

A visual tour of objects in four dimensions

This volume explores four-dimensional geometry through illustrated objects and familiar activities reimagined in higher-dimensional space. Its examples range from games and household settings to celestial coordinates, crystalline lattices, and mirrors, giving the abstract subject a series of concrete visual prompts. Each page pairs colorful images with a short caption explaining the figures, so the book’s structure is closer to a gallery of examples than a continuous exposition. The range includes both geometric constructions, such as tesseract-based forms, and a sample system for writing and arithmetic in four-dimensional space.

Good fit for readers who enjoy

  • Readers interested in visual introductions to non-Euclidean geometry
  • Those curious about how familiar objects and activities can be represented in four dimensions
  • Readers who prefer image-led exploration with brief explanatory captions

Themes

Four-dimensional geometryVisual mathematicsHigher-dimensional versions of familiar objects and activities

Based on publisher information and book metadata.

Book overview

Visualize hypercheckers and hyperchess in the 4th dimension, rotate a Rubik's hypercube, stack tesseracts together to build a hyperpyramid or a hypercross, view a hypertable with hyperchairs, climb hyperstairs, open the hyperdoor to a hyperhouse, watch hypertelevision, read a hyperbook, arrange glomes in a 4D lattice structure to create hypercrystals, stack hyperfruits at a hypersupermarket, record the position of a hyperstar with hypercelestial coordinates, make a hypermap using hypercompass directions, watch a spinning hyperplanet with tilt revolve around a hypersun, see a sample alphanumeric system for writing and arithmetic in 4D space, line up a shot on a hyperbilliards table, enjoy hyperbowling or hypertennis, and contemplate an object's reflection from a hyperplanar or hyperspherical mirror - all on this colorful journey through the fourth dimension. Each page consists of colorful images of four-dimensional objects with a paragraph caption describing the figures at the bottom.
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