Breaking
DEZverev meets Shelton in the US Open final – “I like atmospheres like that”DESwedish parliamentary election: electoral system, right-wing populists and prospectsESReactivation of the civil war in Yemen after four years of ceasefireINTLSweden's general election pits center-left against far right as polls narrowINTLFerry sinks in Vanuatu, at least one dead and over 30 missingRUIndonesian rescuers search for the Virgo Transport 8 with 243 people on board in the Java SeaTRCruise ship disappeared on Surabaya-Banjarmasin route in IndonesiaAUAdelaide Crows fans devastated after 53-point grand final loss to Brisbane LionsAUVictorian man charged with possessing violent extremist material after Melbourne Airport arrestCNJapanese AV actress Kuraki Hana passed away, suspected of being raped by her boyfriendDEZverev meets Shelton in the US Open final – “I like atmospheres like that”DESwedish parliamentary election: electoral system, right-wing populists and prospectsESReactivation of the civil war in Yemen after four years of ceasefireINTLSweden's general election pits center-left against far right as polls narrowINTLFerry sinks in Vanuatu, at least one dead and over 30 missingRUIndonesian rescuers search for the Virgo Transport 8 with 243 people on board in the Java SeaTRCruise ship disappeared on Surabaya-Banjarmasin route in IndonesiaAUAdelaide Crows fans devastated after 53-point grand final loss to Brisbane LionsAUVictorian man charged with possessing violent extremist material after Melbourne Airport arrestCNJapanese AV actress Kuraki Hana passed away, suspected of being raped by her boyfriend
Back蘋果推出摺疊手機 iPhone Duo 螢幕比例為 √2:1,台師大教授解析數學設計原理
蘋果推出摺疊手機 iPhone Duo 螢幕比例為 √2:1,台師大教授解析數學設計原理
Developing
自由时报38 minutes agoTech1 min readChinaView translation

蘋果推出摺疊手機 iPhone Duo 螢幕比例為 √2:1,台師大教授解析數學設計原理

Quick Look

蘋果於台灣時間10日發表首款摺疊螢幕手機 iPhone Duo,台師大電機系助理教授賴以威指出其內外螢幕比例為 √2:1,設計靈感源自利希滕貝格的等比例縮放紙張規格,強調此比例可實現不同形態下畫面無縫填滿,並非精準值但具工程妥協性。

AI-generated summary

Why It Matters

蘋果於台灣時間10日舉辦2026秋季發表會,推出首款摺疊螢幕手機 iPhone Duo。台灣師範大學電機系助理教授賴以威在臉書發文解析該機螢幕設計的數學原理。

Font size

蘋果2026秋季發表會於台灣時間10日正式登場,本次發表會最重磅的亮點,就是推出首款摺疊螢幕手機「iPhone Duo」。台灣師範大學電機系助理教授賴以威點出新機暗藏的數學巧思,直言往後被孩子問到「學根號有什麼用」,終於有了更科技的答案:iPhone Duo的螢幕比例正是經典的「√2:1」。

賴以威在臉書發文表示,蘋果官網強調新機在摺疊與展開狀態下,內外螢幕比例皆具備高度一致性,能讓顯示內容在不同型態間無縫填滿畫面。這個設計邏輯與日常生活中常見的紙張規格完全相同,正如A4紙對折後變A5、兩張拼接成A3,其長寬比例始終維持不變。

請繼續往下閱讀...

賴以威指出,長寬比為 √2:1的長方形 將長邊對折後比例變為「√2/2:1」,經化簡整理即為「1:√2」,實質上僅是長邊與短邊互換,整體幾何比例依然相同。如果嚴格檢查iPhone Duo的螢幕解析度,會發現其實不是精準的√2,還是有為了工程上妥協的微小差距。

賴以威續指,發明這個比例的數學家叫利希滕貝格(Lichtenberg),相傳他一直在找一種紙的比例,讓「等比例縮放」這件事情變得容易,仔細想想,在沒有螢幕的年代,這真的是一個很重要的需求。

What to Watch

AI outlook — possibilities, not facts

  • 蘋果將在未來數月內公開 iPhone Duo 的詳細規格與上市時間

    Likely · Within months

Open Questions

  • iPhone Duo 的 precise 螢幕解析度是多少?
  • 該機何時將正式上市?
  • 蘋果是否將針對此設計申請專利?

Related Topics

This article was originally published by 自由时报.

Related Stories

Guangxi-ASEAN “AI+Law” Application Innovation Competition launched and registration open to multiple regions
Developing·

Guangxi-ASEAN “AI+Law” Application Innovation Competition launched and registration open to multiple regions

The Department of Justice of the Guangxi Zhuang Autonomous Region and the Wuzhou Municipal People's Government jointly held a press conference to introduce the 2026 China (Guangxi)-ASEAN "AI + Law" Application Innovation Competition. The competition focuses on the pain points of cross-border legal services and promotes the integration of artificial intelligence and legal services. It has three major tracks: domestic applications, college students, and ASEAN applications. Registration is open to mainland China, Hong Kong, Macao, Taiwan, and ASEAN countries. It has been launched on August 31.

中国新闻网
3 min read
Shield AI Asia Director: Taiwan is the key to building a non-Chinese drone supply chain
Developing·

Shield AI Asia Director: Taiwan is the key to building a non-Chinese drone supply chain

Chen Yiru, director of government relations for Shield AI in Asia, said that Taiwan plays a key role in building a drone supply chain that is not dependent on China. Currently, the proportion of Taiwanese materials in its products has increased from less than 1% two years ago to 16%, and is expected to reach 25%. He also emphasized long-term investment in Taiwan, deepening local cooperation and technology transfer to enhance Taiwan's defense resilience.

自由时报
2 min read
The Chinese Academy of Sciences and Shield AI cooperated to complete the autonomous flight verification of Jinfeng III UAV
Developing·

The Chinese Academy of Sciences and Shield AI cooperated to complete the autonomous flight verification of Jinfeng III UAV

The Chinese Academy of Sciences cooperated with the American company Shield AI to complete the autonomous flight verification of three Kingbee III drones a month ago, using Hivemind AI pilot technology to achieve autonomous reconnaissance, take-off and landing missions, reducing the operator's burden and improving defense resilience.

自由时报
2 min read
Bulwark Dynamics develops unmanned transport landing craft Caravel 35, experts say it is worthy of reference for Taiwan
Developing·

Bulwark Dynamics develops unmanned transport landing craft Caravel 35, experts say it is worthy of reference for Taiwan

American defense start-up Bulwark Dynamics is developing a 35-foot version of the unmanned transport landing craft Caravel 35, which can navigate, land and unload cargo autonomously. It is designed for use on unprepared coastlines. Military expert Wang Zhenming pointed out that this technology can reduce risks and maintain wartime transportation, and is worthy of Taiwan's reference.

自由时报
2 min read
Illustrated ads on mobile phone lock screens are easy to accidentally touch, hindering the use of the elderly
Developing·

Illustrated ads on mobile phone lock screens are easy to accidentally touch, hindering the use of the elderly

A post about mobile phone lock screen illustrations affecting emergency calls sparked heated discussion. The poster later clarified the fact, but the issue raised concerns about the built-in advertising function of the mobile phone system. The reporter found that the lock screen pictures of many mobile phone brands are turned on by default, the exit button is small and difficult to close, and the elderly are easily disturbed by advertisements when using them. In addition to lock screen pictures, advertisements are embedded in multiple locations in the mobile phone system. Regulatory authorities need to regulate mobile phone manufacturers’ behavior of bundling advertisements into the operating system.

中国新闻网
2 min read
Many U.S. states pass data center moratorium bills AI industry development faces obstacles
Developing·

Many U.S. states pass data center moratorium bills AI industry development faces obstacles

In the United States, eight states including New York have passed data center moratorium bills due to public concerns about rising electricity prices due to data center power consumption. According to statistics, 75 data center construction plans were blocked in the first quarter of this year, involving a total amount of approximately US$130 billion, which may become a huge obstacle to the rapid development of the AI ​​industry.

自由时报
3 min read
More on this topic蘋果