Recent content by JohnMcBetty

I have run into a problem where I have a frieze pattern F, the frieze pattern has horizontal refelctive symmetry, glide reflective symmetry, but does not have 180 degree rotation and does not have vertical reflective symmetry. G represents the symmetry group for F. G={reflection symmetry...

Would I have to use the flatten command?

I tried this, but it still doesn't work, I am very new at using this program. FareySequence[n_] := local a, b, c, d, k; a := 0; b := 1; c := 1; d := n; printf (` % d/% d \n `, a, b); while (c < n) do k := floor ((n + b)/d); a := c; b := d; c := k*c - a; d := k*d - b; printf (` % d/% d...

I need some help writing a Farey Sequence in Mathematica, so far this is all I have: FareySequence[n_] := GCD[a, b]; While b : a, b = b, a % b; result := a Simplify[a, b]; g := GCD[a, b] result := (a/g, b/g) I am very new to programming, please help!

The Farey sequence F_n (F subscript n) for any positive integer n is the set of irreducible rational numbers a/b with 0<(or equal to)a<(or equal to)b<(or equal to) n and (a,b)=1 arranged in increasing order. The first one should be: F_1 = {0/1,1/1} F_2 = {0/1,1/2,1/1} F_3 =...

So should I just say that reflection 1 is a reflection through the origin?

Thanks Deveno! Ok so far this is what I have. If we rotate the plane containing A,B,C,D Rotation 1, 90 degrees = A maps to B maps to C maps to D maps back to A Rotation 2, 180 degrees = A maps to C back to A again, and B maps to D and back to B. Rotation 3, 270 degrees = A maps to D maps to C...

Thanks Deveno! Ok so far this is what I have. If we rotate the plane containing A,B,C,D Rotation 1, 90 degrees = A maps to B maps to C maps to D maps back to A Rotation 2, 180 degrees = A maps to C back to A again, and B maps to D and back to B. Rotation 3, 270 degrees = A maps to D...

I have found this question and not sure where to begin in terms of solving it. PLEASE HELP! Consider a double square pyramid . Introduce a coordinate P system so that the vertices of P are: A=(2,0,0) B=(0,2,0) C=(-2,0,0) D=(0,-2,0) E=(0,0,1) F=(0,0,-1) List the symmetries of P. Do...

I would assume there would some kind of rotation with cycle 3, being that it is a pyramid.

I tried drawing it out, but I just have a lot of trouble with 3D shapes. I have trouble drawing figures with 3 coordinates (x,y,z).

Finding symmetries both geometrically and analytically. PLEASE HELP! I have found this question and not sure where to begin in terms of solving it. PLEASE HELP! Consider a double square pyramid . Introduce a coordinate P system so that the vertices of P are: A=(2,0,0) B=(0,2,0)...