adi 5 space polytope

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DESCRIPTION

The Adi polytope in the fifth dimensional space.

TRANSCRIPT

Adi 5 Space Polytope

The following sixteen 5 space right simplexes are taken from the 5 space measure to get an Adi 5 Space Polytope.

5RS00000 {, 00001, 00010, 00100, 01000, 10000}5RS00011 {, 00001, 00010, 00111, 01011, 10011}5RS00101 {, 00001, 00100, 00111, 01101, 10101}5RS00110 {, 00010, 00100, 00111, 01110, 10110}5RS01001 {, 00001, 01000, 01011, 01101, 11001}5RS01010 {, 00010, 01000, 01011, 01110, 11010}5RS01100 {, 00100, 01000, 01101, 01110, 11100}5RS01111 {, 00111, 01011, 01101, 01110, 11111}5RS10001 {, 00001, 10000, 10011, 10101, 11001}5RS10010 {, 00010, 10000, 10011, 10110, 11010}5RS10100 {, 00100, 10000, 10101, 10110, 11100}5RS10111 {, 00111, 10011, 10101, 10110, 11111}5RS11000 {, 01000, 10000, 11001, 11010, 11100}5RS11011 {, 01011, 10011, 11001, 11010, 11111}5RS11101 {, 01101, 10101, 11001, 11100, 11111}5RS11110 {, 01110, 10110, 11010, 11100, 11111}

_________________________________________________________________The following HTML file finds the above information_________________________________________________________________

A for loop

document.write("Adi 5 Polytope:")

u=0;v=2

for (x5 = u; x5 < v; x5++){for (x4 = u; x4 < v; x4++){for (x3 = u; x3 < v; x3++){for (x2 = u; x2 < v; x2++){for (x1 = u; x1 < v; x1++){z=x5+x4+x3+x2+x1;y=16*x5+8*x4+4*x3+2*x2+1*x1;

if(x5==0){a5=x5+1}else{a5=0}if(x4==0){a4=x4+1}else{a4=0}if(x3==0){a3=x3+1}else{a3=0}if(x2==0){a2=x2+1}else{a2=0}if(x1==0){a1=x1+1}else{a1=0}

if(z == 0 || z == 2 || z == 4){document.write(x5,x4,x3,x2,x1," { ",

a5,x4,x3,x2,x1," , ",x5,a4,x3,x2,x1," , ",x5,x4,a3,x2,x1," , ",x5,x4,x3,a2,x1," , ",x5,x4,x3,x2,a1," "," }
");}

}}}}}

_________________________________________________________________The output of the above HTML file is:_________________________________________________________________Adi 5 Polytope:00000 { 10000 , 01000 , 00100 , 00010 , 00001 }00011 { 10011 , 01011 , 00111 , 00001 , 00010 }00101 { 10101 , 01101 , 00001 , 00111 , 00100 }00110 { 10110 , 01110 , 00010 , 00100 , 00111 }01001 { 11001 , 00001 , 01101 , 01011 , 01000 }01010 { 11010 , 00010 , 01110 , 01000 , 01011 }01100 { 11100 , 00100 , 01000 , 01110 , 01101 }01111 { 11111 , 00111 , 01011 , 01101 , 01110 }10001 { 00001 , 11001 , 10101 , 10011 , 10000 }10010 { 00010 , 11010 , 10110 , 10000 , 10011 }10100 { 00100 , 11100 , 10000 , 10110 , 10101 }10111 { 00111 , 11111 , 10011 , 10101 , 10110 }11000 { 01000 , 10000 , 11100 , 11010 , 11001 }11011 { 01011 , 10011 , 11111 , 11001 , 11010 }11101 { 01101 , 10101 , 11001 , 11111 , 11100 }11110 { 01110 , 10110 , 11010 , 11100 , 11111 }