These pictures show three different view angles for the same carbon Schwartzite with P-type minimal surface. This beautiful model contains eight unit cells. According to its creator, Chuang, the hardest part in the whole weaving process is the steric hindrance which may cause the difficulty of finding a feasible direction to put the thread through the bead.
Chuang also told me that in Lenosky's original paper on carbon Schwartzite, he pointed out that the two spaces partitioned by the carbon sheet are not identical due to the particular network structure required by trivalent carbon atoms. Indeed, we can easily see this from our beaded model. However, I wonder that if it is possible to find certain arrangement of carbon atoms such that these two spaces are identical. If not, can we prove it.
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