I found a web page that does a good job of showing how riftsawn and quartersawn as well as plainsawn logs are cut. Take a look at it for a detailed description of the advantages and disadvantages

Here is a link that might be useful: What is quartersawn wood

Rift sawn is a very straight grain. Rift sawn oak hardly even looks like oak. It is very pretty! Quartersawn has tiger striped rays going across the board. You've seen tiger oak?? That's quartersawn. I love them both. The wood I am putting down is a mix of 60% rift and 40% quartersawn white oak. Both of these are VERY dimensionally stable and are not prone to cupping or shrinking like plain sawn wood.