Upside-Down Magic Squares

Plate Representations

Orders 23 and 24

Created by Inder J. Taneja

Index

Each plate turns by 180° in its own plane: the same square read upside down is again a magic square

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Controls

Play speed1.0×

Plate size230

Line thickness1.0

Line colour

Digit style

Original colour

Digit colour

Face labels

Drag the plate to turn it by hand.

Plate & Upside-Down Turn

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The Three Pairs

Edit the original square (the upside-down view is derived automatically)

References

Based on the author's following research works:

Inder J. Taneja, Upside-Down, Mirror Looking and Water Reflection Magic Squares: Orders 21 to 23, Zenodo, January 20, 2025, pp. 1-83, https://doi.org/10.5281/zenodo.14688709.
- Site link: Universal and Upside-Down Magic Squares of Order 21 (new site)
- Site link: Universal and Upside-Down Magic Squares of Order 21 (old site)
Inder J. Taneja, Upside-Down, Mirror Looking and Water Reflection Magic Squares: Order 24, Zenodo, January 20, 2025, pp. 1-150, https://doi.org/10.5281/zenodo.14700325.
- Site link: Universal and Upside-Down Magic Squares of Order 24 (new site)
- Site link: Universal and Upside-Down Magic Squares of Order 24 (old site)
Inder J. Taneja, Online generator: Water-Reflection Magic Squares Generator