This image is an illustration of the recursive process of generating a Menger sponge, which is a fractal object. It shows the first three iterations of an infinite process. The illustration was created by using a simple "Lindenmayer system" (L-system).
The number of cubes at a given iteration is , where is the number of iterations performed on the first cube:
Iter.
Cubes
Cumulative Sum
0
1
1
1
20
21
2
400
421
3
8,000
8,421
4
160,000
168,421
5
3,200,000
3,368,421
6
64,000,000
67,368,421
At the start, no iterations have been performed so . The image shows a total of 8,421 cubes (the sum of all four steps).
All freaktal images are from self-written tools. Linear fractals from my : "3D IFS studio" and "3D DTIFS" (dragon trees), non-linear IFS from "3D RJIFS" (3D rev Julia).
ไฟล, menger, sponge, level, ไฟล, ประว, ไฟล, หน, าท, ภาพน, การใช, ไฟล, ามโครงการ, อม, ลเก, ยวก, บภาพไม, ภาพท, รายละเอ, ยดส, งกว, าน, menger, sponge, level, 8206, กเซล, ขนาดไฟล, โลไบต, ชน, ดไมม, image, jpeg, ปภาพหร, อไฟล, เส, ยงน, นฉบ, บอย, คอมมอนส, รายละเอ, ยดด. ifl prawtiifl hnathimiphaphni karichiflkhamokhrngkar khxmulekiywkbphaphimmiphaphthimiraylaexiydsungkwani Menger sponge Level 0 3 jpg 8206 800 228 phikesl khnadifl 89 kiolibt chnidimm image jpeg rupphaphhruxiflesiyngni tnchbbxyuthi khxmmxns raylaexiyddanlang epnkhxkhwamthiaesdngphlcak ifltnchbbinkhxmmxns khxmmxnsepnewbistinokhrngkarsahrbekbrwbrwmsuxesri thi khunsamarthchwyid This image is an illustration of the recursive process of generating a Menger sponge which is a fractal object It shows the first three iterations of an infinite process The illustration was created by using a simple Lindenmayer system L system The number of cubes at a given iteration is 20 n displaystyle 20 n where n displaystyle n is the number of iterations performed on the first cube Iter Cubes Cumulative Sum 0 1 1 1 20 21 2 400 421 3 8 000 8 421 4 160 000 168 421 5 3 200 000 3 368 421 6 64 000 000 67 368 421 At the start no iterations have been performed so 20 0 1 displaystyle 20 0 1 The image shows a total of 8 421 cubes the sum of all four steps See also en L system en Menger sponge Image User Solkoll Public domain Public domain false false nganniidthukephyaephrsusatharnsmbtiodyecakhxng Solkoll sungmiphlthwolk inbangpraeths karkrathadngklawxacimsamarththaidtamkdhmay Solkoll xnuyatihthukkhnmisiththiinkarichiflniinthukehtuphlkarich odyimmimienguxnikh ewnaetkdhmayimxnuyatihthaechnnn More 3D fractals from my tool Image 3D Cantor set jpg Image 3D Julia set IFS 001 jpg Image Dragon trees jpg Image Fractal tree Plate b 1 jpg Image Fractal tree Plate b 2 jpg Image Fractal tree Plate b 3 jpg Image Fractal weeds jpg Image Harter Heighways dragon curve 3D twist jpg Image Heavy Levy jpg Image Julia set reversed formula 3D jpg Image Levy s C curve 3D goggles jpg Image Levy C curve 3D twist jpg Image Menger sponge IFS jpg Image Menger sponge Level 1 4 jpg Image Sierpinski pyramid jpg Image Sierpinski tetrahedron jpg Image Sierpinski tetrahedron Detail jpg All freaktal images are from self written tools Linear fractals from my nbsp 3D IFS studio and 3D DTIFS dragon trees non linear IFS from 3D RJIFS 3D rev Julia See also Solkoll amp Solkoll 2D khabrryayodyyxithyephimkhabrryaythrrthdediywephuxkhyaykhwamwaiflnimixairixethmthiaesdngxyuiniflniprakxbdwysthanalikhsiththicopyrighted dedicated to the public domain by copyright holder nbsp xngkvssyyaxnuyatreleased into the public domain by the copyright holder nbsp xngkvs prawtiifl khlikwnthi ewlaephuxduiflthipraktinkhnann wnthi ewlarupyxkhnadphuichkhwamehn pccubn02 38 21 kumphaphnth 2548800 228 89 kiolibt Solkoll commonswikiRe uploading this there was a minor typo in the previous version hnathimiphaphni hnatxipni oyngmathiphaphni fxngnaemngengxr karichiflkhamokhrngkar wikixuntxipniichiflni karichbn ar wikipedia org إسفنج مينغر karichbn ca wikipedia org Esponja de Menger karichbn da wikipedia org Mengers svamp karichbn el wikipedia org Spoggos toy Mengker karichbn en wikipedia org Menger sponge karichbn eo wikipedia org Spongo de Menger karichbn es wikipedia org Esponja de Menger karichbn fa wikipedia org اسفنج منگر karichbn fi wikipedia org Mengerin pesusieni karichbn fr wikipedia org Aire geometrie Eponge de Menger karichbn he wikipedia org ספוג מנגר karichbn hr wikipedia org Mengerova spuzva karichbn it wikipedia org Spugna di Menger karichbn ko wikipedia org 멩거 스펀지 karichbn nl wikipedia org Spons van Menger karichbn pt wikipedia org Esponja de Menger karichbn sh wikipedia org Mengerova spuzva karichbn sk wikipedia org Karl Menger karichbn sl wikipedia org Mengerjeva spuzva karichbn sv wikipedia org Mengers tvattsvamp karichbn sv wikibooks org Matematik for arskurs 7 9 Geometri 3D geometri Matematik for arskurs 7 9 Geometri 3D Geometri Uppgifter Ratblock karichbn zh wikipedia org 门格海绵khxmulekiywkbphaph phaphnimikhxmulephimetim sungswnihymacakklxngdicitxlhruxsaeknenxrthisamarthekbkhxmuldngklawiwrwmkbphaphid thaphaphnithukprbprungaekikhhruxepliynaeplngcakedim khxmulbangxyangcayngkhngimepliynaeplngehmuxnphaphthithukprbprungaekikhnnkhwamehnifl JPEGFile written by Adobe Photoshop 5 0 ekhathungcak https th wikipedia org wiki ifl Menger sponge Level 0 3 jpg, wikipedia, วิกิ หนังสือ, หนังสือ, ห้องสมุด,
