# Four-Fold Toro Crosso

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This polyhedron is a toroidal crossohedron.
It consists of four crosses that can be seen as 5 edge-to-edge connected
squares,
16 equilateral triangles and 16 rhombs.
The rhombs consist of 2 edge-to-edge connected equilateral triangles,
which means that this toroid would have been part of Steward's toroids
[BStew01]
if not for the aplanar (A) rule.
This polyhedron was found by Don Romano in 2021.
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The model was built in 2021 and the smaller edge length is 2.5 cm (1 inch),
which gives it a height of 7 cm (2.8 inch).
It surprised me that it is very rigid,
but the rhombs prevent the square shaped tunnel to be deformed, of course.
I started to build the tunnel first and because of that it felt I had to
finish the model four times.
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As the picture below shows the model seems to exist of 'M's and 'W's. One
could use it to honour Magnus Wenninger with a crown.
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Copyright of pictures by
PhotoArt Studio HĂ¶rby
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## Links

## References

**[BStew01]**Steward, B. M:

**Adventures among the Toroids**, Malloy Lithographing, Inc.; 2nd edition 1964

## Last Updated

2021-04-21

Interactive 3D model