higher-genus tori

[peekxc]

I'm unable to get samples from an interlocked torus, from either the CRAN version or the github:

tdaunif::sample_tori_interlocked(100)
#> Error in rbind(res_1, res_2): number of columns of matrices must match (see arg 2)

^{Created on 2020-11-28 by the reprex package (v0.3.0)}

On a related note, although not exactly the same shape, is it possible is generate samples from a tori of arbitrary genus, or maybe just from 2- and 3- ?

[corybrunson]

Oh my goodness, this function must have been templated but never tested. I'm on it. (Or do you even think it necessary? I might have meant to drop it a while back.)

I don't have convenient embeddings for higher-genus tori, but i can't imagine they'd be hard to find or contrive. And i agree that they're a good idea. I'll keep this issue alive for them.

[peekxc]

Or do you even think it necessary? I might have meant to drop it a while back.

Up to you on the interlocked torus! I found it after looking to get samples from higher genus torus.

I do think the higher genus tori could be useful one day, e.g. as a great way of describing PH (+ genus) for the first time (in the mean time, I ended up just getting a complex from the double torus directly via its polynomial form an perturbing the vertices)