Logiciel libre de géométrie, d'analyse et de simulation multiplateforme par Yves Biton
Toutes les versions de cet article : [English] [français]
Pour programmer une figure en Python vous pouvez simplement :
- Aller sur le site de MathGraph32 https://www.mathgraph32.org/ et cliquer sur la grosse icône dédiée.
- Aller directement à l’url https://www.mathgraph32.org/spip.php?article1013
Mais vous pouvez aussi mettre en ligne un éditeur Python sur une page internet de votre choix, en utilisant une balise spéciale MathGraph32
Mettre en ligne un éditeur Python complet
Mettre en ligne une figure créée par du code Python et modifiable
Mettre en ligne une figure créée par du code Python et non modifiable
Utilisez pour cela le code html suivant :
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<div id = "divPython"></div>
<script type="text/javascript" src="https://www.mathgraph32.org/js/mtgLoad/mtgLoad.min.js"></script>
<script type="application/javascript">
if (typeof mtgLoad === 'function') {
const mtgOptions = {
language: 'fr',
loadPython: true,
commandsFigs: [
{ figRef: 'figRepOrthonorm', name: 'Repère orthonormé (degré)' },
{ figRef: 'figVideUnite', name: 'Figure sans repère avec longueur unité' },
{ figRef: 'figVide', name: 'Figure sans repère et sans longueur unité' },
{ figRef: 'figRepModif', name: 'Repère modifiable (radian)' },
{ figRef: 'reporthonfr', name: 'Repère 3D' },
]
}
const container = document.getElementById('divPython')
mtgLoad(container, {}, mtgOptions, function (error, app) {
if (error) return console.error(error)
})
} else {
console.error(Error('mathgraph n’est pas chargé correctement'), 'mtgLoad est ' + typeof mtgLoad)
}
</script>Voici un exemple de code html permettant d’obtenir cela dans une page html :
<script type = "text/mtgPython" id = "PythonCodeId">
addZoomButtons(1.2)
def sierpinski(sommets, depth):
if depth > 0:
v0, v1, v2 = sommets # Les sommets du triangle
# Calcul des points intermédiaires pour former les trois sous-triangles
midpoints = [
addMidpoint(v0, v1),
addMidpoint(v1, v2),
addMidpoint(v2, v0)
]
for i in range(3):
setHidden(midpoints[i])
# Appel récursif pour chacun des trois sous triangles
sierpinski([v0, midpoints[0], midpoints[2]], depth - 1)
sierpinski([midpoints[0], v1, midpoints[1]], depth - 1)
sierpinski([midpoints[2], midpoints[1], v2], depth - 1)
else:
# Profondeur maximale atteinte : on trace le triangle et on le remplit d'une surface
addSurface(addPolygon(sommets, 'blue'))
# Les sommets du triangle de départ
A = addFreePoint(-14, -8, 'B', 'red')
B = addFreePoint(14, -8, 'A', 'red')
C = addFreePoint(0, 10, 'C', 'red')
sommets = [A, B, C] # Coordonnées des sommets
#Appel de la fonction pour dessiner le triangle fractal de Sierpinski
sierpinski(sommets, 6)
</script>
<script async src="https://www.mathgraph32.org/js/mtgLoad/mathgraphElements.js"></script>
<mathgraph-player width="800" height="600" python-code-id="PythonCodeId" fig="TWF0aEdyYXBoSmF2YTEuMAAAABM+TMzNAAJmcv###wEA#wEAAAAAAAAAAAMgAAACWAAAAQEAAAAAAAAAAQAAADX#####AAAAAQAKQ0NhbGNDb25zdAD#####AAJwaQAWMy4xNDE1OTI2NTM1ODk3OTMyMzg0Nv####8AAAABAApDQ29uc3RhbnRlQAkh+1RELRj#####AAAAAQAKQ1BvaW50QmFzZQD#####AAAAAAAOAAFPAMAoAAAAAAAAAAAAAAAAAAAAAAUAAUB4sAAAAAAAQHK9cKPXCj7#####AAAAAQAUQ0Ryb2l0ZURpcmVjdGlvbkZpeGUA#####wEAAAAAEAAAAQAAAAEAAAABAT#wAAAAAAAA#####wAAAAEAD0NQb2ludExpZURyb2l0ZQD#####AAAAAAEOAAFJAMAYAAAAAAAAAAAAAAAAAAAAAAUAAUA4AAAAAAAAAAAAAv####8AAAABAAlDRHJvaXRlQUIA#####wAAAAAAEAAAAQAAAAEAAAABAAAAA#####8AAAABABZDRHJvaXRlUGVycGVuZGljdWxhaXJlAP####8AAAAAABAAAAEAAAABAAAAAQAAAAT#####AAAAAQAJQ0NlcmNsZU9BAP####8BAAAAAAAAAQAAAAEAAAAD#####wAAAAEAEENJbnREcm9pdGVDZXJjbGUA#####wAAAAUAAAAG#####wAAAAEAEENQb2ludExpZUJpcG9pbnQA#####wEAAAAAEAAAAQAABQABAAAABwAAAAkA#####wAAAAABDgABSgDAKAAAAAAAAMAQAAAAAAAAAAAFAAIAAAAH#####wAAAAIAB0NSZXBlcmUA#####wDm5uYAA3JlcAABAAAAAQAAAAMAAAAJAQEAAAAAAQAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAT#wAAAAAAAAAAAAAT#wAAAAAAAA#####wAAAAEACkNVbml0ZXhSZXAA#####wAEdW5pdAAAAAr#####AAAAAQALQ0hvbW90aGV0aWUA#####wAAAAH#####AAAAAQAKQ09wZXJhdGlvbgMAAAABP#AAAAAAAAD#####AAAAAQAPQ1Jlc3VsdGF0VmFsZXVyAAAAC#####8AAAABAAtDUG9pbnRJbWFnZQD#####AQAAAAAQAAJXIgEAAAEAAAAAAwAAAAz#####AAAAAQAJQ0xvbmd1ZXVyAP####8AAAABAAAADf####8AAAABAAdDQ2FsY3VsAP####8AB25iZ3JhZHgAAjIwAAAAAUA0AAAAAAAAAAAAEQD#####AAduYmdyYWR5AAIyMAAAAAFANAAAAAAAAP####8AAAABABRDSW1wbGVtZW50YXRpb25Qcm90bwD#####ABRHcmFkdWF0aW9uQXhlc1JlcGVyZQAAABsAAAAIAAAAAwAAAAoAAAAPAAAAEP####8AAAABABNDQWJzY2lzc2VPcmlnaW5lUmVwAAAAABEABWFic29yAAAACv####8AAAABABNDT3Jkb25uZWVPcmlnaW5lUmVwAAAAABEABW9yZG9yAAAACgAAAAsAAAAAEQAGdW5pdGV4AAAACv####8AAAABAApDVW5pdGV5UmVwAAAAABEABnVuaXRleQAAAAr#####AAAAAQAQQ1BvaW50RGFuc1JlcGVyZQAAAAARAAAAAAAQAAABAAAFAAAAAAoAAAAOAAAAEgAAAA4AAAATAAAAFgAAAAARAAAAAAAQAAABAAAFAAAAAAoAAAANAAAAAA4AAAASAAAADgAAABQAAAAOAAAAEwAAABYAAAAAEQAAAAAAEAAAAQAABQAAAAAKAAAADgAAABIAAAANAAAAAA4AAAATAAAADgAAABUAAAAMAAAAABEAAAAWAAAADgAAAA8AAAAPAAAAABEAAAAAABAAAAEAAAUAAAAAFwAAABkAAAAMAAAAABEAAAAWAAAADgAAABAAAAAPAAAAABEAAAAAABAAAAEAAAUAAAAAGAAAABv#####AAAAAQAIQ1NlZ21lbnQAAAAAEQEAAAAAEAAAAQAAAAEAAAAXAAAAGgAAABcAAAAAEQEAAAAAEAAAAQAAAAEAAAAYAAAAHAAAAAQAAAAAEQEAAAAACwABVwDAFAAAAAAAAMA0AAAAAAAAAAAFAAE#3FZ4mrzfDgAAAB3#####AAAAAgAIQ01lc3VyZVgAAAAAEQAGeENvb3JkAAAACgAAAB8AAAARAAAAABEABWFic3cxAAZ4Q29vcmQAAAAOAAAAIP####8AAAACABJDTGlldU9iamV0UGFyUHRMaWUBAAAAEQBmZmYAAAAAAB8AAAAOAAAADwAAAB8AAAACAAAAHwAAAB8AAAARAAAAABEABWFic3cyAA0yKmFic29yLWFic3cxAAAADQEAAAANAgAAAAFAAAAAAAAAAAAAAA4AAAASAAAADgAAACEAAAAWAAAAABEBAAAAABAAAAEAAAUAAAAACgAAAA4AAAAjAAAADgAAABMAAAAZAQAAABEAZmZmAAAAAAAkAAAADgAAAA8AAAAfAAAABQAAAB8AAAAgAAAAIQAAACMAAAAkAAAABAAAAAARAQAAAAALAAFSAEAgAAAAAAAAwCAAAAAAAAAAAAUAAT#RG06BtOgfAAAAHv####8AAAACAAhDTWVzdXJlWQAAAAARAAZ5Q29vcmQAAAAKAAAAJgAAABEAAAAAEQAFb3JkcjEABnlDb29yZAAAAA4AAAAnAAAAGQEAAAARAGZmZgAAAAAAJgAAAA4AAAAQAAAAJgAAAAIAAAAmAAAAJgAAABEAAAAAEQAFb3JkcjIADTIqb3Jkb3Itb3JkcjEAAAANAQAAAA0CAAAAAUAAAAAAAAAAAAAADgAAABMAAAAOAAAAKAAAABYAAAAAEQEAAAAAEAAAAQAABQAAAAAKAAAADgAAABIAAAAOAAAAKgAAABkBAAAAEQBmZmYAAAAAACsAAAAOAAAAEAAAACYAAAAFAAAAJgAAACcAAAAoAAAAKgAAACv#####AAAAAgAMQ0NvbW1lbnRhaXJlAAAAABEBZmZmAAAAAAAAAAAAQBgAAAAAAAAAAAAAAB8LAAH###8AAAABAAAAAAAAAAEAAAAAAAAAAAALI1ZhbChhYnN3MSkAAAAZAQAAABEAZmZmAAAAAAAtAAAADgAAAA8AAAAfAAAABAAAAB8AAAAgAAAAIQAAAC0AAAAbAAAAABEBZmZmAAAAAAAAAAAAQBgAAAAAAAAAAAAAACQLAAH###8AAAABAAAAAAAAAAEAAAAAAAAAAAALI1ZhbChhYnN3MikAAAAZAQAAABEAZmZmAAAAAAAvAAAADgAAAA8AAAAfAAAABgAAAB8AAAAgAAAAIQAAACMAAAAkAAAALwAAABsAAAAAEQFmZmYAwCAAAAAAAAA#8AAAAAAAAAAAAAAAJgsAAf###wAAAAIAAAABAAAAAQAAAAAAAAAAAAsjVmFsKG9yZHIxKQAAABkBAAAAEQBmZmYAAAAAADEAAAAOAAAAEAAAACYAAAAEAAAAJgAAACcAAAAoAAAAMQAAABsAAAAAEQFmZmYAwBwAAAAAAAAAAAAAAAAAAAAAAAAAKwsAAf###wAAAAIAAAABAAAAAQAAAAAAAAAAAAsjVmFsKG9yZHIyKQAAABkBAAAAEQBmZmYAAAAAADMAAAAOAAAAEAAAACYAAAAGAAAAJgAAACcAAAAoAAAAKgAAACsAAAAzAAAADv##########">
</mathgraph-player>Voici ce code en action ci-dessous :
Voici du code html permettant de mettre en ligne la figure ci-dessous mais sans éditeur Python permettant de la modifier.
La seule différence ici est que nous rajoutons un attribut hide-commands = true à notre balise
<script type = "text/mtgPython" id = "PythonCodeIdBis">
addZoomButtons(1.2)
def sierpinski(sommets, depth):
if depth > 0:
v0, v1, v2 = sommets # Les sommets du triangle
# Calcul des points intermédiaires pour former les trois sous-triangles
midpoints = [
addMidpoint(v0, v1),
addMidpoint(v1, v2),
addMidpoint(v2, v0)
]
for i in range(3):
setHidden(midpoints[i])
# Appel récursif pour chacun des trois sous triangles
sierpinski([v0, midpoints[0], midpoints[2]], depth - 1)
sierpinski([midpoints[0], v1, midpoints[1]], depth - 1)
sierpinski([midpoints[2], midpoints[1], v2], depth - 1)
else:
# Profondeur maximale atteinte : on trace le triangle et on le remplit d'une surface
addSurface(addPolygon(sommets, 'blue'))
# Les sommets du triangle de départ
A = addFreePoint(-14, -8, 'B', 'red')
B = addFreePoint(14, -8, 'A', 'red')
C = addFreePoint(0, 10, 'C', 'red')
sommets = [A, B, C] # Coordonnées des sommets
#Appel de la fonction pour dessiner le triangle fractal de Sierpinski
sierpinski(sommets, 6)
</script>
<script async src="https://www.mathgraph32.org/js/mtgLoad/mathgraphElements.js"></script>
<mathgraph-player width="800" height="600" python-code-id="PythonCodeIdBis" hide-commands = "true" fig="TWF0aEdyYXBoSmF2YTEuMAAAABM+TMzNAAJmcv###wEA#wEAAAAAAAAAAAMgAAACWAAAAQEAAAAAAAAAAQAAADX#####AAAAAQAKQ0NhbGNDb25zdAD#####AAJwaQAWMy4xNDE1OTI2NTM1ODk3OTMyMzg0Nv####8AAAABAApDQ29uc3RhbnRlQAkh+1RELRj#####AAAAAQAKQ1BvaW50QmFzZQD#####AAAAAAAOAAFPAMAoAAAAAAAAAAAAAAAAAAAAAAUAAUB4sAAAAAAAQHK9cKPXCj7#####AAAAAQAUQ0Ryb2l0ZURpcmVjdGlvbkZpeGUA#####wEAAAAAEAAAAQAAAAEAAAABAT#wAAAAAAAA#####wAAAAEAD0NQb2ludExpZURyb2l0ZQD#####AAAAAAEOAAFJAMAYAAAAAAAAAAAAAAAAAAAAAAUAAUA4AAAAAAAAAAAAAv####8AAAABAAlDRHJvaXRlQUIA#####wAAAAAAEAAAAQAAAAEAAAABAAAAA#####8AAAABABZDRHJvaXRlUGVycGVuZGljdWxhaXJlAP####8AAAAAABAAAAEAAAABAAAAAQAAAAT#####AAAAAQAJQ0NlcmNsZU9BAP####8BAAAAAAAAAQAAAAEAAAAD#####wAAAAEAEENJbnREcm9pdGVDZXJjbGUA#####wAAAAUAAAAG#####wAAAAEAEENQb2ludExpZUJpcG9pbnQA#####wEAAAAAEAAAAQAABQABAAAABwAAAAkA#####wAAAAABDgABSgDAKAAAAAAAAMAQAAAAAAAAAAAFAAIAAAAH#####wAAAAIAB0NSZXBlcmUA#####wDm5uYAA3JlcAABAAAAAQAAAAMAAAAJAQEAAAAAAQAAAAAAAAAAAAAAAQAAAAAAAAAAAAAAAT#wAAAAAAAAAAAAAT#wAAAAAAAA#####wAAAAEACkNVbml0ZXhSZXAA#####wAEdW5pdAAAAAr#####AAAAAQALQ0hvbW90aGV0aWUA#####wAAAAH#####AAAAAQAKQ09wZXJhdGlvbgMAAAABP#AAAAAAAAD#####AAAAAQAPQ1Jlc3VsdGF0VmFsZXVyAAAAC#####8AAAABAAtDUG9pbnRJbWFnZQD#####AQAAAAAQAAJXIgEAAAEAAAAAAwAAAAz#####AAAAAQAJQ0xvbmd1ZXVyAP####8AAAABAAAADf####8AAAABAAdDQ2FsY3VsAP####8AB25iZ3JhZHgAAjIwAAAAAUA0AAAAAAAAAAAAEQD#####AAduYmdyYWR5AAIyMAAAAAFANAAAAAAAAP####8AAAABABRDSW1wbGVtZW50YXRpb25Qcm90bwD#####ABRHcmFkdWF0aW9uQXhlc1JlcGVyZQAAABsAAAAIAAAAAwAAAAoAAAAPAAAAEP####8AAAABABNDQWJzY2lzc2VPcmlnaW5lUmVwAAAAABEABWFic29yAAAACv####8AAAABABNDT3Jkb25uZWVPcmlnaW5lUmVwAAAAABEABW9yZG9yAAAACgAAAAsAAAAAEQAGdW5pdGV4AAAACv####8AAAABAApDVW5pdGV5UmVwAAAAABEABnVuaXRleQAAAAr#####AAAAAQAQQ1BvaW50RGFuc1JlcGVyZQAAAAARAAAAAAAQAAABAAAFAAAAAAoAAAAOAAAAEgAAAA4AAAATAAAAFgAAAAARAAAAAAAQAAABAAAFAAAAAAoAAAANAAAAAA4AAAASAAAADgAAABQAAAAOAAAAEwAAABYAAAAAEQAAAAAAEAAAAQAABQAAAAAKAAAADgAAABIAAAANAAAAAA4AAAATAAAADgAAABUAAAAMAAAAABEAAAAWAAAADgAAAA8AAAAPAAAAABEAAAAAABAAAAEAAAUAAAAAFwAAABkAAAAMAAAAABEAAAAWAAAADgAAABAAAAAPAAAAABEAAAAAABAAAAEAAAUAAAAAGAAAABv#####AAAAAQAIQ1NlZ21lbnQAAAAAEQEAAAAAEAAAAQAAAAEAAAAXAAAAGgAAABcAAAAAEQEAAAAAEAAAAQAAAAEAAAAYAAAAHAAAAAQAAAAAEQEAAAAACwABVwDAFAAAAAAAAMA0AAAAAAAAAAAFAAE#3FZ4mrzfDgAAAB3#####AAAAAgAIQ01lc3VyZVgAAAAAEQAGeENvb3JkAAAACgAAAB8AAAARAAAAABEABWFic3cxAAZ4Q29vcmQAAAAOAAAAIP####8AAAACABJDTGlldU9iamV0UGFyUHRMaWUBAAAAEQBmZmYAAAAAAB8AAAAOAAAADwAAAB8AAAACAAAAHwAAAB8AAAARAAAAABEABWFic3cyAA0yKmFic29yLWFic3cxAAAADQEAAAANAgAAAAFAAAAAAAAAAAAAAA4AAAASAAAADgAAACEAAAAWAAAAABEBAAAAABAAAAEAAAUAAAAACgAAAA4AAAAjAAAADgAAABMAAAAZAQAAABEAZmZmAAAAAAAkAAAADgAAAA8AAAAfAAAABQAAAB8AAAAgAAAAIQAAACMAAAAkAAAABAAAAAARAQAAAAALAAFSAEAgAAAAAAAAwCAAAAAAAAAAAAUAAT#RG06BtOgfAAAAHv####8AAAACAAhDTWVzdXJlWQAAAAARAAZ5Q29vcmQAAAAKAAAAJgAAABEAAAAAEQAFb3JkcjEABnlDb29yZAAAAA4AAAAnAAAAGQEAAAARAGZmZgAAAAAAJgAAAA4AAAAQAAAAJgAAAAIAAAAmAAAAJgAAABEAAAAAEQAFb3JkcjIADTIqb3Jkb3Itb3JkcjEAAAANAQAAAA0CAAAAAUAAAAAAAAAAAAAADgAAABMAAAAOAAAAKAAAABYAAAAAEQEAAAAAEAAAAQAABQAAAAAKAAAADgAAABIAAAAOAAAAKgAAABkBAAAAEQBmZmYAAAAAACsAAAAOAAAAEAAAACYAAAAFAAAAJgAAACcAAAAoAAAAKgAAACv#####AAAAAgAMQ0NvbW1lbnRhaXJlAAAAABEBZmZmAAAAAAAAAAAAQBgAAAAAAAAAAAAAAB8LAAH###8AAAABAAAAAAAAAAEAAAAAAAAAAAALI1ZhbChhYnN3MSkAAAAZAQAAABEAZmZmAAAAAAAtAAAADgAAAA8AAAAfAAAABAAAAB8AAAAgAAAAIQAAAC0AAAAbAAAAABEBZmZmAAAAAAAAAAAAQBgAAAAAAAAAAAAAACQLAAH###8AAAABAAAAAAAAAAEAAAAAAAAAAAALI1ZhbChhYnN3MikAAAAZAQAAABEAZmZmAAAAAAAvAAAADgAAAA8AAAAfAAAABgAAAB8AAAAgAAAAIQAAACMAAAAkAAAALwAAABsAAAAAEQFmZmYAwCAAAAAAAAA#8AAAAAAAAAAAAAAAJgsAAf###wAAAAIAAAABAAAAAQAAAAAAAAAAAAsjVmFsKG9yZHIxKQAAABkBAAAAEQBmZmYAAAAAADEAAAAOAAAAEAAAACYAAAAEAAAAJgAAACcAAAAoAAAAMQAAABsAAAAAEQFmZmYAwBwAAAAAAAAAAAAAAAAAAAAAAAAAKwsAAf###wAAAAIAAAABAAAAAQAAAAAAAAAAAAsjVmFsKG9yZHIyKQAAABkBAAAAEQBmZmYAAAAAADMAAAAOAAAAEAAAACYAAAAGAAAAJgAAACcAAAAoAAAAKgAAACsAAAAzAAAADv##########">
</mathgraph-player>Voici ci code en action ci-dessous :
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