I only know about one exchange for sure but I'm pretty confident this is a widespread concept and applies to many other exchanges, too.
https://www.bitcoin.de uses candlestick charts. These charts exist in traditional markets, too. There, a candle stick typically represents 1 day. That day has among others an opening and a closing price. Note that the closing price December 29th doesn't have to be the opening price of December 30th and the opening price of December 29th wasn't necessarily the closing price of December 28th, in such markets. In fact, it's fairly unlikely that these prices are the same.
https://www.bitcoin.de always trades. Its candlesticks are different.
First of all, they have different sizes depending on the length of the period of time the diagram shows. In the 48 h chart, they only are 15 minutes wide. In the 1 Y chart, they are as wide as in old markets: 1 day. In the 5 Y chart, they are a week wide.
Furthermore, the closing price of one candlestick is always the same as the opening price of the next one. This is because they simply slice time up on the clock (00:00, 00:15, 00:30, etc.) or calendar (December 29, December 30, December 31th, etc.). Every time slice's opening price is the price when that time slice started and its closing price is the price when it ended. Because the one time slice begins right when the one before it ends and price is is simplified to a function of time, the opening price of a slice must always be the same as the closing price of the previous one.
This answer is somewhat misleading. For traditional markets, the open and close prices have significance and are calculated according to methodologies. For 24 hour markets, like currencies, there are standard price fixes in addition to closing regional prices. For crypto, where often people adopt similar language of traditional markets (but perhaps without understanding the nuances), it essentially means a random trade that just happened to be the first or last in a given day. – Chan-Ho Suh – 2019-07-11T22:49:16.803
1What about timezones? – Dr.Haribo – 2015-10-28T07:17:45.553
Well, it's the opening and closing of the market, so it should be in respect to the market's timezone. I.e. if you were in London, for you a market in Shanghai would open at 4pm (UTC+8), a market in Berlin at 11pm (UTC+1), and a market in NYC at 4am (currently UTC+4, due to their summertime being longer than Europe's). – Murch – 2015-10-28T08:33:49.790
1So pretty clear if talking about a specific exchange, and pretty confusing if saying "bitcoin closed at X" (of course that is also confusing because the price differs between exchanges) – Dr.Haribo – 2015-10-28T18:14:05.930
Ooooh. I hadn't even realized that it could be read that way. Then maybe the last price in that timezone; what exchange though, or an index? – Murch – 2015-10-28T22:13:59.890
Bitcoin price indices are made up of prices from different exchanges in different timezones. What exactly does the index closing price for a date consist of? – Dr.Haribo – 2015-10-29T19:41:11.310