No, carpenters would not use tesselations.
By the use of wording "uniform" you are in fact stating that the tesselations are "regular"
Because everybody need it.
A carpenters main hammer is the claw hammer, but I expect most carpenters would have at least 3-4 different hammers.
Carpenters can and do use a wide range of materials other than wood. These can include cardboards, metals, glass and fabrics if the piece demands them.
Carpenters use mixed number by taking a shovel and shoving it in the wall and the stabbing you in your butt.. and then they start singing what what in the butt, i did it in your butt IN YOUR BUTT!
Tesselations can be used to design wallpaper etc. By using a computer, say with JAVA, designs can be very easily modified to see the final effect much more quickly. Using mathematics long-hand would take a very long time, but the mathematics are the foundations of any computer program.
Carpenters use all kinds of measures, rulers would be used to do fine measuring at the table saw.
I would use yellow carpenters glue.
They had carpenters because they needed the carpenters
set square
arm
It is a light carpenters hammer.