how do you make a patio?

First buy some land or find a landowner who will let you do it.

The read up on the subject at websites such as

http://www.ehow.com/how_2148520_build-patio-pavers.html

There are also do-it-yourself guides at libraries, bookstores and home supply centers.

By the way, why do call this a math question?

Here is a good book to klook for on the subject:
http://compare.ebay.com/like/260133547725?ltyp=AllFixedPriceItemTypes&var=sbar&rvr_id=192214935083&crlp=1_263602_304662&UA=%3F*I8&GUID=3f9b333212d0a0e202740c64ff7a952a&itemid=260133547725&ff4=263602_304662

Making a patio involves several steps. Here's an overview of the process:

1. Planning: Start by deciding the purpose and layout of your patio. Consider factors such as size, shape, location, and materials.

2. Obtaining necessary permits: Check with your local authorities to determine if you need any permits or approvals before construction begins.

3. Site preparation: Clear the area of any plants, debris, or obstructions. Mark the outline of your patio using strings or stakes.

4. Excavation: Dig out the marked area to a depth of about 6-8 inches, depending on the type of patio you want. Remove the soil and ensure the ground is level.

5. Base material: Spread a layer of gravel or crushed stone evenly over the excavated area. Compact it using a plate compactor or hand tamper to create a stable base.

6. Edging: Install edging materials, such as plastic or metal strips, to hold the patio's shape and prevent shifting.

7. Adding a weed barrier: Place a geotextile or landscape fabric over the compacted base to prevent weed growth.

8. Laying the pavers or patio stones: Start from a corner and lay each piece according to your desired pattern. Tap them into place with a rubber mallet, ensuring they are level and evenly spaced. Use a level frequently to maintain accuracy.

9. Cutting and fitting: As you reach the edges or irregular areas, you may need to cut some pavers to fit properly. Use a masonry saw or chisel for this task.

10. Filling the joints: Once all the pavers are in place, spread fine sand over the surface and sweep it into the joints. This stabilizes the pavers and inhibits weed growth.

11. Final compaction: Go over the entire patio with a plate compactor to settle the pavers firmly into place. This also ensures the joints are filled completely.

12. Clean-up: Sweep away any excess sand or debris from the surface of the patio.

Remember, the specific details of constructing a patio may vary depending on its size, shape, and the materials you choose. Consider consulting reliable guides, tutorials, or professional advice for more precise instructions tailored to your project.