Hi Bryndon:

If you need to track multiple combinations of dimensions, you have 2 options out of the box:

1. Using product attributes that automatically create variants (by selecting Always for the Product Attributes). This will create all possible combinations of the attributes as mentioned by you and can get unmanageable quite quickly.

2. Using product attributes that don't create variants automatically (by selecting Never for the Product Attributes). You would need to define Products (Templates not variants) for the combinations of attributes that you need only when you need them. You can do this by creating the product and specifying just 1 value for each of the attributes associated with that product. This will allow you to keep the number of products manageable as far as possible.

However, one of the downsides of option 2 is that the attribute values are not visible (for example, when you are in the Product Variants list view). However, you can always use the values in a filter to zero in on Products that have a particular attribute value. You cannot do this in the standard search box but by using Filters > Add Custom Filters​​

You may want to include the dimensions in the Product name so that users can easily identify visually.

Hope this helps.

I woud not use variants in such cases.  Variants are master data. And to have master data for all of those possibilities will be to hard to manage. And they cannot be created on the fly. For the standard sizes, variants might be used.

I would choose to use LOT number tracing. On the lot number there is a field for free text. But you might also add fields for information in the lot number record.

But be aware: This will only be for information. There is nothing in Odoo for availability check on individual sizes. It is for variants.   But as I wrote for variants you will end up with to much master data, very hard to manage. One solution in Odoo might be that your standard sizes have variants, and then when cut you define it as non standard variant. But I am uncertain hw this will work in your logistics.  

So it also comes down to the size of the business and how much automation you want.

(I have worked 20 years in cable manufacturing, and that business got a similiar characteristics as you describe.)