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Red Giant

The "Red Giant" animation (from MathMod integrated scripts collection) depicts the evolutionary path the star takes as it moves along the red-giant branch, that ends finally with the complete collapse of the core...don't take this representation as a scientifically serious one though!

Enjoy :-)

https://en.wikipedia.org/wiki/Red_giant

MathMod download:

https://sourceforge.net/projects/mathmod/files/MathMod-8.0/

or

https://github.com/parisolab/mathmod/releases

The "Red Giant" animation (from MathMod integrated scripts collection) depicts the evolutionary path the star takes as it moves along the red-giant branch, that ends finally with the complete collapse of the core...don't take this representation as a scientifically serious one though!

Enjoy :-)

https://en.wikipedia.org/wiki/Red_giant

MathMod download:

https://sourceforge.net/projects/mathmod/files/MathMod-8.0/

or

https://github.com/parisolab/mathmod/releases

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African Basket

My first version of an African Basket mathematical model.

Although the basket shape is quite easy to model, the real challenge is to create decorative patterns as appealing as the ones shown in my previous post about Rwanda African basket ...

Enjoy :-)

MathMod download:

https://sourceforge.net/projects/mathmod/files/MathMod-8.0/

or

https://github.com/parisolab/mathmod/releases

MathMod script:

{

"Param3D": {

"Description": ["Basket by Abderrahman Taha 11/10/2018"

],

"Component": ["Basket"

],

"Const": ["d=(33/1000)","k=33","umin=0","umax=2*pi","vmin=0","vmax=2*pi","du=1/10000","dv=1/10000"

],

"Funct": ["Fx=(u/4)

],

"Name": "Trefoil",

"Noise": ""

}

}

My first version of an African Basket mathematical model.

Although the basket shape is quite easy to model, the real challenge is to create decorative patterns as appealing as the ones shown in my previous post about Rwanda African basket ...

Enjoy :-)

MathMod download:

https://sourceforge.net/projects/mathmod/files/MathMod-8.0/

or

https://github.com/parisolab/mathmod/releases

MathMod script:

{

"Param3D": {

"Description": ["Basket by Abderrahman Taha 11/10/2018"

],

"Component": ["Basket"

],

"Const": ["d=(33/1000)","k=33","umin=0","umax=2*pi","vmin=0","vmax=2*pi","du=1/10000","dv=1/10000"

],

"Funct": ["Fx=(u/4)

**sin(k*u)+v","Fy=(u/4)cos(k*u)+v","Fz=exp((u^(185/100))/55)+v","Rapp=u/sqrt(u*u+v*v+t*t)","DFxu=((Fx(u+du,v,t)-Fx(u,v,t))/du)","DFxv=((Fx(u,v+dv,t)-Fx(u,v,t))/dv)","DFyu=((Fy(u+du,v,t)-Fy(u,v,t))/du)","DFyv=((Fy(u,v+dv,t)-Fy(u,v,t))/dv)","DFzu=((Fz(u+du,v,t)-Fz(u,v,t))/du)","DFzv=((Fz(u,v+dv,t)-Fz(u,v,t))/dv)","n1=(DFyu(u,v,t)*DFzv(u,v,t)-DFzu(u,v,t)*DFyv(u,v,t))","n2=(DFzu(u,v,t)*DFxv(u,v,t)-DFxu(u,v,t)*DFzv(u,v,t))","n3=(DFxu(u,v,t)*DFyv(u,v,t)-DFyu(u,v,t)*DFxv(u,v,t))","F2x=Fx(u,0,t)","F2y=Fy(u,0,t)","F2z=Fz(u,0,t)","DF2xu=DFxu(u,0,t)","DF2yu=DFyu(u,0,t)","DF2zu=DFzu(u,0,t)","DF2xu2=n1(u,0,t)","DF2yu2=n2(u,0,t)","DF2zu2=n3(u,0,t)","Nxu=Rapp(DF2xu2(u,v,t),DF2yu2(u,v,t),DF2zu2(u,v,t))","Nyu=Rapp(DF2yu2(u,v,t),DF2xu2(u,v,t),DF2zu2(u,v,t))","Nzu=Rapp(DF2zu2(u,v,t),DF2yu2(u,v,t),DF2xu2(u,v,t))","Binxu=(DF2yu(u,v,t)*Nzu(u,v,t)-DF2zu(u,v,t)*Nyu(u,v,t))/sqrt(DF2xu(u,v,t)^2+DF2yu(u,v,t)^2+DF2zu(u,v,t)^2)","Binyu=(DF2zu(u,v,t)*Nxu(u,v,t)-DF2xu(u,v,t)*Nzu(u,v,t))/sqrt(DF2xu(u,v,t)^2+DF2yu(u,v,t)^2+DF2zu(u,v,t)^2)","Binzu=(DF2xu(u,v,t)*Nyu(u,v,t)-DF2yu(u,v,t)*Nxu(u,v,t))/sqrt(DF2xu(u,v,t)^2+DF2yu(u,v,t)^2+DF2zu(u,v,t)^2)","Tx=F2x(u,v,t)+d(Nxu(u,v,t)cos(v)+Binxu(u,v,t)*sin(v))","Ty=F2y(u,v,t)+d(Nyu(u,v,t)cos(v)+Binyu(u,v,t)*sin(v))","Tz=F2z(u,v,t)+d(Nzu(u,v,t)*cos(v)+Binzu(u,v,t)*sin(v))"****],****"Fx": ["Tx(u,v,t)"****],****"Fy": ["Ty(u,v,t)"****],****"Fz": ["Tz(u,v,t)"****],****"Grid": ["40000","20"****],****"Name": ["Basket"****],****"Umax": ["umax"****],****"Umin": ["umin"****],****"Vmax": ["vmax"****],****"Vmin": ["vmin"]****},****"Texture": {****"Colors": ["R=(20000**(3*(x^2+y^2)^4-6*x*x*y*y))%(4/10) +(46/100)","G=(100000*((x^2+y^2)-7*x*x*y*y))%(65/100)","B= (20000*((x^2+y^2)^3-10*x*x*y*y))%(2/10)+(1/10)","T=1"],

"Name": "Trefoil",

"Noise": ""

}

}

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Rwanda African Baskets

Not only they are beautiful but also their shape and colorful patterns can well be defined as mathematical functions!

https://www.pinterest.ca/theafricanhomegoods/rwanda-african-baskets/

Not only they are beautiful but also their shape and colorful patterns can well be defined as mathematical functions!

https://www.pinterest.ca/theafricanhomegoods/rwanda-african-baskets/

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Water drop photography!

By Artist Photographer Richard Mohler from Devianart:

https://www.deviantart.com/relhom/art/MDC-23-514194497

How To Get Started in Water Drop Photography :

https://iso.500px.com/how-to-get-started-in-water-drop-photograph

By Artist Photographer Richard Mohler from Devianart:

https://www.deviantart.com/relhom/art/MDC-23-514194497

How To Get Started in Water Drop Photography :

https://iso.500px.com/how-to-get-started-in-water-drop-photograph

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Amazing Shadow Art !

Pakistani artist Anila Quayyum Agha uses a 6.5ft laser-cut wooden cube to cast amazing shadow art in the room which holds it — with just a single light bulb.

http://www.cubebreaker.com/laser-cut-cube-shadow-art/

Pakistani artist Anila Quayyum Agha uses a 6.5ft laser-cut wooden cube to cast amazing shadow art in the room which holds it — with just a single light bulb.

http://www.cubebreaker.com/laser-cut-cube-shadow-art/

‹

›

30/09/2018

4 Photos - View album

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The "Black Hole" animation from MathMod's integrated scripts collection.

The real challenge with this kind of animation is to render them in real time, especially because they require rendering more than one moving objet...

MathMod download: https://sourceforge.net/projects/mathmod/files/MathMod-8.0/

or

https://github.com/parisolab/mathmod/releases

The real challenge with this kind of animation is to render them in real time, especially because they require rendering more than one moving objet...

MathMod download: https://sourceforge.net/projects/mathmod/files/MathMod-8.0/

or

https://github.com/parisolab/mathmod/releases

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Venezuelan artist Rafael Araujo renders complex 3D and math-based architectural portraits of nature...by hand!!

http://www.cnn.com/2014/02/10/world/wildly-detailed-drawings-that-combine-math-and-butterflies/

http://www.cnn.com/2014/02/10/world/wildly-detailed-drawings-that-combine-math-and-butterflies/

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Intricate Mandalas Gilded with Gold by Artist Asmahan A. Mosleh 😯

https://www.thisiscolossal.com/2016/11/intricate-mandalas-gilded-with-gold-leaf-by-artist-asmahan-a-mosleh/

https://www.thisiscolossal.com/2016/11/intricate-mandalas-gilded-with-gold-leaf-by-artist-asmahan-a-mosleh/

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Parametric patterns

Up to now, MathMod integrated scripts can be used to decorate parametric surfaces with many different patterns such as the chain maille pattern, plain weave decoration, multi objects positioning,...

Patterns shown in the attached image can also be extended in many ways to suit your needs and , more interestingly, there still many new ideas to explore....stay tuned :-)

MathMod download: https://sourceforge.net/projects/mathmod/files/MathMod-8.0/

or

https://github.com/parisolab/mathmod/releases

Up to now, MathMod integrated scripts can be used to decorate parametric surfaces with many different patterns such as the chain maille pattern, plain weave decoration, multi objects positioning,...

Patterns shown in the attached image can also be extended in many ways to suit your needs and , more interestingly, there still many new ideas to explore....stay tuned :-)

MathMod download: https://sourceforge.net/projects/mathmod/files/MathMod-8.0/

or

https://github.com/parisolab/mathmod/releases

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Crystal beauty... 😯

Spessartine with muscovite and albite from Apo Ali Gun, Braldu, Pakistan

https://i.pinimg.com/originals/f0/36/74/f036747de0ea648aeb69183438357815.jpg

Spessartine with muscovite and albite from Apo Ali Gun, Braldu, Pakistan

https://i.pinimg.com/originals/f0/36/74/f036747de0ea648aeb69183438357815.jpg

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