by
Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the
five Platonic solids in 3D. This is the fifth, the hyperdodecahedron, a remarkably beautiful object brought to my attention
by George Hart.
Here it's shown in a Schlegel diagram so you can see all 120 dodecahedral cells, though most are transformed by perspective: in this projection, the only regular dodecahedra are the biggest one on the outside and the tiniest one at the center.
A bigger model is here.
Here it's shown in a Schlegel diagram so you can see all 120 dodecahedral cells, though most are transformed by perspective: in this projection, the only regular dodecahedra are the biggest one on the outside and the tiniest one at the center.
A bigger model is here.
by
richgain
This must surely be the smallest commercially available 3D puzzle cube in the world.
It is a tiny 7.5 mm across and presents a real challenge to solve and take apart - and not just because of its size.
It is an example of a sequentially interlocking cube which means that it won't fall apart once the pieces are slotted together.
You can find many more interlocking puzzle cubes in the microcubology shop.
The puzzle was inspired by the cover of Elbow's brilliant album, The Seldom Seen Kid.
It is a tiny 7.5 mm across and presents a real challenge to solve and take apart - and not just because of its size.
It is an example of a sequentially interlocking cube which means that it won't fall apart once the pieces are slotted together.
You can find many more interlocking puzzle cubes in the microcubology shop.
The puzzle was inspired by the cover of Elbow's brilliant album, The Seldom Seen Kid.
by
Bathsheba
A sculpture. Contrary to popular belief, it is not an algorithmic object.
by
Bathsheba
This Voronoi network has the symmetry of a snub dodecahedron...almost. It is my homage to the wonderful diatoms of the world.
by
Bathsheba
You may have seen this model before, it's a free download at bathsheba.com.
Here it is straight from the artist.
Here it is straight from the artist.
by
Bathsheba
A ribbon in space.
If you were wondering, it has two sides and therefore is not a Mobius strip.
Since this design looks best standing up, it has a mounting post that is 5/32" diameter. I would recommend a block of wood or blob of polymer clay as a base.
If you were wondering, it has two sides and therefore is not a Mobius strip.
Since this design looks best standing up, it has a mounting post that is 5/32" diameter. I would recommend a block of wood or blob of polymer clay as a base.
by
Bathsheba
There are six regular convex polytopes in 4D, which are analogous to the
five Platonic solids in 3D. This is the sixth, the hypericosahedron, with 600 tetrahedral cells.
This was the hardest of this group to make a printable model of. For a Schlegel diagram one would need quite a large size to allow the amount of interior complexity required, and it gets difficult to build as well as expensive, so I used this face-first projection suggested by Henry Cohn. Some of the tetrahedral are collapsed and become planar, but on the plus side the complexity is on the outside where you can see it!
This was the hardest of this group to make a printable model of. For a Schlegel diagram one would need quite a large size to allow the amount of interior complexity required, and it gets difficult to build as well as expensive, so I used this face-first projection suggested by Henry Cohn. Some of the tetrahedral are collapsed and become planar, but on the plus side the complexity is on the outside where you can see it!
by
henryseg
This is made by gluing two copies of the Round Möbius Strip along their boundaries. A Klein bottle in 3-dimensional space has to intersect itself, and in this case it intersects itself along a straight line. This was designed with the assistance of Saul Schleimer.
