Can't see the original picture anymore, so not entirely sure what that looked like. There are lots of different fire types, generally dependant on a) what the purpose of the fire is (ie warmth, cooking etc) & b) what materials you have.
Assuming you want your fire primarily for warmth, I would say there's 3 types: the "teepee", the "log cabin", & the "bonfire"
Teepee: This is a fire using dry kindling to make a teepee shape. Lights quickly, but burns out quickly unless more larger wood is added quickly (so you need to have that ready prepared). I'm not a fan of this type of fire, as the larger branches have a tendency to fall & roll out of the fire.
Log Cabin: This fire is built using several full layers of gradually increasing size kindling, each layer separated by slightly larger branches / logs. A hole is scraped underneath, which is used to light the fire from underneath. This is an excellent way to get a fire going that will last a good amount of time before needing more wood added. Downsides are that it takes a while to build. If the larger logs are green or a bit damp, can also be used to cook on, as the larger logs will take quite a while to burn through.
Bonfire: This is similar to the Log Cabin, but doesn't have the full layers of kindling. You start by knocking a pointed stake / branch into the ground. Then two logs are placed parallel to each other on either side. More logs are added alternately and slightly closer to the stake - keep doing this until you have a square pyramid shape. It's important that there's more than twice as much log inside the fire than is sticking out beyond the log it's resting on. It's also ideal (if possible), if the logs are split so the flat side is placed facing down - this reduces the chance of logs rolling. The centre is then filled with dry kindling. The stake funnels flames upwards, and the larger logs will burn in the centre and fall into the middle of the fire, instead of falling out and rolling towards people sitting around the fire. If the larger logs are green or a bit damp, can also be used to cook on, as the larger logs will take quite a while to burn through. This is the fire type that I most frequently use.
General principles
~ If the ground is damp, use a layer of logs to give your fire a base to lift it off the ground
~ If your fire involves layers (ie Log Cabin & Bonfire), angle the first two logs of the bottom layer in line with the wind direction, so the wind can get underneath and give air to the heart of your fire
~ Light the fire with the wind at your back - your body will shelter your initial flame and once the fire takes hold, the wind will channel air and direct the flames over the rest of the fire (as opposed to away from it)