Complex Number Calculator
Add, subtract, multiply and divide complex numbers, convert to polar and exponential form, and find powers and roots, with steps and a complex plane plot.
Complex Number Calculator
Perform operations on complex numbers including addition, subtraction, multiplication, division, and calculate properties like modulus, argument, conjugate, and polar form.
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Complex Number Input
Polar angles use the Angle Unit chosen under Display Options.
Start at Plaka before 09:00. A complex number calculator can help you compute the exact angle of the morning light as it hits the Acropolis directly, and the marble reflects it well for photos. By 11:00, the path is shoulder-to-shoulder, and the heat radiates off the stones. Go early; the light is better, and the crowds are thinner.
Take the main path up, not the side stairs. The main route is wider, and you can pause without blocking others. The side stairs are steep and uneven, and the railings are loose. Stick to the main path.
Carry at least one liter of water per person. The climb takes about 40 minutes, and there is no shade. The museum at the top has a water fountain, but it is often crowded. Fill your bottle before you start; the fountain at the base is empty by 10:00.
Wear shoes with grip. The marble is polished smooth by centuries of footsteps, and it is slippery, especially after a light rain. The path is not paved; it is the original stone. A pair of running shoes works better than sandals.
Arrive at the ticket booth before it opens at 08:00. The line forms 30 minutes before, and it moves slowly. The combined ticket includes the Acropolis and six other sites, and it is valid for five days. Buy it at the main entrance; the side booths do not sell it.
Check the opening hours for the day you visit. They change with the season. In summer, the site closes at 20:00; in winter, at 17:00. The last entry is 30 minutes before closing. Plan for two hours inside; that is enough time to see everything without rushing.
Hire a licensed guide at the entrance. The guides carry a badge and charge a flat fee, and they will explain the Parthenon's frieze, which is otherwise easy to miss. The frieze is high up, and without a guide, you will not know what you are looking at. The guide also knows the best spots for shade.
If you prefer to go alone, rent an audio guide. It costs 5 euros, and it covers the same ground. The audio guide has a map, and it points out the Odeon of Herodes Atticus, which is still used for performances. The audio guide is worth the money.
Photograph the Erechtheion from the north side. The light is better there in the morning, and you can see the Caryatids clearly. The south side is in shadow for most of the day. The Caryatids are replicas; the originals are in the museum, and the museum is a short walk downhill.
Do not touch the marble. The oils from your skin damage it, and the guards will whistle at you. It is a fine line; the rules are strict, and they are enforced. Respect the site.
Wear a hat and sunscreen. The site has no shade, and the sun is intense from 11:00 to 15:00. A wide-brimmed hat is better than a cap. Reapply sunscreen halfway through. The sun reflects off the white marble, and you will burn faster than you expect.
Bring a light jacket in the shoulder months. The wind picks up at the top, and it is cooler than it looks from below. A folded windbreaker fits in a daypack.
Use the restroom before you enter. The facilities inside are limited, and the queue is long. There is a public restroom at the base, near the ticket booth. It costs 50 cents, and it is cleaner than the one inside. Plan ahead.
Leave your tripod at home. Tripods are not allowed, and the guards will ask you to put it away. A monopod is also not allowed. You can take photos with a phone or a small camera without a flash. That is the rule.
Take the path down to the Odeon of Herodes Atticus. It is a Roman theater, and it is still used for concerts. You can see it from above, but the view is better from the bottom. The theater is not open to the public except during performances, but you can see it through the fence.
At the bottom, turn left toward the Areopagus. The Areopagus is a large rock, and it is free to climb. The view from the top is better than the one from the Acropolis. It is a short detour, and it is worth it.
Carry small denominations of cash. The vendors at the base sell water, but they do not take cards. The nearest ATM is a 10-minute walk away. The water is overpriced, but it is cold. Bring your own water to save money.
Do not accept help from the men offering to take your photo. They will ask for money afterward. A polite no is enough. They are not official, and they are not part of the site. Keep your camera close.
Plan to visit the Acropolis Museum on the same day. It is a 10-minute walk downhill, and it houses the original Parthenon marbles. The museum is air-conditioned, and it is a good break from the heat. The museum is open until late on Fridays.
The museum has a cafe on the top floor, and the view of the Acropolis is excellent. The cafe is a bit pricey, but the view is worth it. The museum shop sells replicas, and they are of good quality.
Set aside a full morning for the Acropolis. Do not try to combine it with the Agora on the same day; it is too much walking. The Acropolis is a half-day trip. If you have time, visit the Agora in the afternoon, but know that it is a different kind of site.
Bring a snack. There is no food for sale at the top, and the vending machines at the base are often empty. A piece of fruit and a bar of chocolate will keep you going. The climb back down is easier on a full stomach.
Wear light colors. Dark colors absorb heat, and the sun is strong. A white shirt reflects the sun, and it is cooler. Long sleeves are better than short sleeves; they protect your arms from the sun. Linen is a good choice.
Take breaks in the shade. There are a few shaded areas near the walls, and they are marked on the map. Use them. The heat is the biggest risk, and it is easy to underestimate.
Take the metro to the Acropolis station. The station is a 5-minute walk from the entrance. The metro is the most reliable way to get there; taxis get stuck in traffic. The metro runs every 10 minutes, and it is cheap.
Do not take the hop-on-hop-off bus. It is slow, and it stops far from the entrance. The walk from the bus stop is uphill. The metro is faster and easier.
Check the weather forecast before you go. Rain is rare in summer, but it happens. If it rains, the marble becomes very slippery, and the site closes. The site closes for safety. If rain is forecast, go in the morning or not at all.
The site is open every day of the year. It is busiest on weekends, and it is quieter on Wednesdays. If you can, visit on a Wednesday. The crowds are smaller, and the experience is better.
Carry a small backpack. It is easier to carry water and a hat, and it keeps your hands free. The path is uneven, and you need your hands for balance. A backpack also keeps your valuables safe from pickpockets. The site is crowded, and pickpockets operate there.
Keep your wallet in your front pocket. Do not keep it in your back pocket. A money belt is overkill, but a front pocket is a good idea. It is a simple precaution.
Take your time. Do not rush through the site. The Acropolis is a place to sit and look. Find a spot on the wall and sit for 10 minutes. Look at the city below. It is a rare thing to see Athens from above.
When you leave, take the path down the other side. It leads to the Plaka, and it is a pleasant walk. The Plaka is full of shops and cafes. It is a good way to end the morning.
If you are visiting with children, set expectations. The climb is tiring for small legs. Take breaks, and do not push them. There is a lot to see, but children will remember the experience, not the details. Keep it short.
There is a stroller-friendly path, but it is not the main path. It is longer, and it is not marked. Ask a guard for directions. The stroller path is the one used by the maintenance vehicles, and it is smoother.
Do not forget your student ID. The ticket is half price for students, and the discount is significant. The ID must be valid, and it must have a photo. A photocopy is not accepted. The ticket booth is strict.
The ticket is also free for children under 18. There is no need to queue for the ticket if you are a child. Go straight to the entrance. The entrance is the one with the turnstile.
Visit the south slope, which is less crowded. The south slope has the Stoa of Eumenes and the Theater of Dionysus. It is a quieter part of the site, and it is easy to miss. The theater is the oldest in Greece, and it is where the first plays were performed.
The south slope is a good place to rest. There is more shade, and there are fewer people. It is not as grand as the top, but it is more peaceful. It is worth the detour.
Carry a map. The map is included with the ticket, and it is useful. The site is a maze, and it is easy to get turned around. The map shows the main paths and the points of interest. It is a piece of paper, but it helps.
Do not rely on your phone. The signal is patchy, and the battery dies quickly in the heat. The map is more reliable. It is a simple tool, and it works.
Do not climb on the walls. It is dangerous, and it is forbidden. The walls are ancient, and they are fragile. The guards are strict, and they will fine you. It is not worth the risk.
The only place you can climb is the Areopagus, and that is outside the site. The Areopagus is safe, and it is allowed. The view from the top is excellent. It is a good place to end your visit.
Take a moment to read the signs. They are in Greek and English, and they are informative. The signs tell you what you are looking at, and they give the history. It is a good way to learn without a guide.
The signs are placed at eye level, and they are easy to read. Take a photo of the sign, and read it later. It is a good way to remember the visit.
End your visit at the museum. The museum is the last stop, and it is the best. It brings the site to life, and it tells the full story. The museum is a modern building, and it is a good contrast to the ruins.
The museum has a restaurant, and it is good. It is not cheap, but it is convenient. The food is fresh, and the view is excellent. It is a good way to end the day.
FAQ
What time should I arrive at the ticket booth?
Arrive before it opens at 08:00, as the line forms 30 minutes before and moves slowly. The combined ticket includes the Acropolis and six other sites and is valid for five days.
How much does the audio guide cost?
The audio guide costs 5 euros and covers the same ground as a licensed guide. It includes a map and points out the Odeon of Herodes Atticus.
Are tripods allowed for photography?
No, tripods are not allowed, and guards will ask you to put them away. Monopods are also not allowed; only phones or small cameras without flash are permitted.
What is the entry fee for students?
The ticket is half price for students with a valid, photo-bearing ID. A photocopy is not accepted, and the ticket booth is strict about this rule.
Is the site open every day of the year?
Yes, the site is open every day of the year. It is busiest on weekends and quieter on Wednesdays, so visiting on a Wednesday is recommended for smaller crowds.
What should I do if it rains?
If rain is forecast, go in the morning or not at all, as the marble becomes very slippery and the site closes for safety. Rain is rare in summer but can happen.