Tangga Penrose

Tangga Penrose, mega dikumbai tangga ti enda tau dikereja, iya nya utai ti enda ulih dikereja ti udah digaga Oscar Reutersvärd dalam taun 1937^[1]^[2]^[3]^[4] lalu udah nya ditemu bibas sereta digaga nyadi tebilang Lionel Penrose enggau anak iya Roger.^[5] Variasyen ba segitiga Penrose, iya nya gambar dua dimensyen tangga ke alai tangga nya ngaga empat iti pusin 90 darjah lebuh sida niki tauka nurun tang agi nempa gelung ti terus, ngambika orang ulih niki sida belama iya lalu enda kala niki tinggi agi. Tu terang enda ulih dikereja dalam geometri Euclidean tiga dimensyen tang ulih nyadi dalam sekeda geometri ukai Euclidean baka dalam geometri nil.^[6]

“Tangga ti terus” tu keterubah iya dibantaika dalam artikel ti ditulis sida Penrose dalam taun 1959, bepelasarka utai ti dikumbai “segitiga Penrose” ti dipansutka Roger Penrose dalam Jurnal Psikologi British dalam taun 1958. MC Escher udah nya tetemuka tangga Penrose ba taun ke nangkanka nya lalu ngaga litograf iya ke diatu tebilang Klimmen en dalen (Niki enggau Nurun) dalam bulan Mac 1960. Penrose enggau Escher dipadahka pasal pengawa pangan diri ba taun ke sama.^[7] Escher ngerembaika tema tu enggau silik agi dalam chelak iya Waterval (Ai Wung), ti pansut dalam taun 1961.

Dalam artikel asal sida Penroses beratika "tiap iti bagi struktur ulih diterima nyadi ngarika penerebai singkang tang sambung nya ngambika gambar, ba selampur iya, enda konsisten: singkang nya terus nurun nitihka aruh jam."^[8]

Kereban sanding

↑ Penrose Stairs. Benedikt Taschen. 1992. ISBN 9783822896372. Archived from the original on 23 November 2022. Retrieved 9 October 2020.
↑ Torre, Matteo. "Impossible Pictures: When Art Helps Math Education" (PDF). Impossible Pictures: When Art Helps Math Education. Archived (PDF) from the original on 20 March 2020. Retrieved 9 October 2020.
↑ "Endless staircase". Impossible World. Archived from the original on 6 July 2020. Retrieved 9 October 2020.
↑ IllusionWorks 1997
↑ Penrose & Penrose 1958, pp. 31–33
↑ YouTube, ZenoTheRogue, Ascending and Descending in Nil (in Inggeris), 30 August 2020, archived from the original on 2022-07-09, retrieved 2022-07-09
↑ Hallyn 2000, p. 172
↑ Ernst 1992, p. 72

[1] Penrose Stairs. Benedikt Taschen. 1992. ISBN 9783822896372. Archived from the original on 23 November 2022. Retrieved 9 October 2020.

[2] Torre, Matteo. "Impossible Pictures: When Art Helps Math Education" (PDF). Impossible Pictures: When Art Helps Math Education. Archived (PDF) from the original on 20 March 2020. Retrieved 9 October 2020.

[3] "Endless staircase". Impossible World. Archived from the original on 6 July 2020. Retrieved 9 October 2020.

[IllusionWorks-4] IllusionWorks 1997

[Penrose_1958-5] Penrose & Penrose 1958, pp. 31–33

[6] YouTube, ZenoTheRogue, Ascending and Descending in Nil (in Inggeris), 30 August 2020, archived from the original on 2022-07-09, retrieved 2022-07-09

[7] Hallyn 2000, p. 172

[8] Ernst 1992, p. 72

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