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How long would it take to complete a Hanoi puzzle with 64 disks if you moved one disk per second?
Wiki User
∙ 11y ago
It would take 264 - 1 seconds or, at one move per second, approx 585 billion years.
Wiki User
∙ 11y ago
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What is the formula for the towers of Hanoi?
im not sure but it could be double it plus one? if you find out can you please answer the question thanks The answer is (2^n) - 1 where n is the number of disks
Is a circle concave or convex?
This depends on your definition. One could say that circles ({p in R^n : d(p,m) = r}) are concave, while (open) disks ({p in R^n : d(p,m) < r}) are convex.
Where does 4 divided by 3 come from the the formula of calculating the volume of a sphere?
1.3333
By integration derived the formula for the volume of a hemisphere of radius r?
One way is to simply write it as the volume between the xy-plane and the surface with equation z=sqrt(r2-x2-y2), where -r <= x,y <= r (specifically, this gives the volume of a hemisphere with radius r centered at the origin and lying above the xy-plane.) We therefore have a double integral. We can take the outer one over y, and the inner one over x, both with limits -r and +r (The order is immaterial.) The integrals involved, however, are somewhat messy. A much better technique is the disk method. The hemisphere may be regarded as an infinite number of circular disks piled on top of each other. Thus, with z ranging from 0 to r, the infinitesimally thick disk at a particular z-value has a radius of R(z) = sqrt(r2-z2) (which follows from the Pythagorean theorem). The total volume is then found by integrating πR(z)2 dz from z = 0 to z = r, because this expression is the volume of a single disk (dz being the infinitesimal thickness, and R(z) being the radius.) The integrand simplifies to π(r2-z2); the integral is then π(r2z - z3/3). Evaluated at z = r, this gives π(r3-r3/3) = π(2r3/3), and at z = 0, gives 0. The volume of the hemisphere is therefore 2πr3/3, in agreement with established facts. This can also be done readily with spherical coordinates. The surface of the hemisphere is given by ρ = r, with θ ranging from 0 to 2π and φ ranging from 0 to π/2. The Jacobian determinant is ρ2 sin φ. Integrating with respect to φ gives -ρ2 cos φ, with -(ρ2 cos π/2) = 0 and -(ρ2 cos 0) = -ρ2, giving ρ2 for the innermost integral. Integrating next with respect to ρ gives ρ3/3, with (r3/3 - 03/3) = r3/3. Finally, integrating with respect to θ gives θr3/3, with (2πr3/3) - (0r3/3) = 2πr3/3.
Name the joints of the human body?
Ball-and-Socket JointsThe most range of movement by the joints is provided by a "ball-and- socket" joint, in which the spherical head of one bone lodges in the spherical cavity of another. In the shoulder joint, the humerus (upper arm bone) fits into the socket of the shoulder blade. Because the socket is shallow and the joint loose, the shoulder is the body's most mobile joint. The hip joint is less mobile than the shoulder, but it is more stable. The ball of the femur's head fits tightly into a deep socket in the hip bone. A rim of cartilage lining the socket helps grip the femur firmly; the ligament binding the two bones is among the strongest in the human body. Hinge JointsThe simplest type of joint is the "hinge," as found in the elbows and the joints of the fingers and toes. Hinge joints allow movement in only one direction. The hinge joint of the knee, the body's largest joint, is unusual because it can swivel on its axis, allowing the foot to turn from side to side. Thus, the knee is constantly rolling and gliding during walking. Gliding Joints"Gliding" joints permit a wide range of mostly sideways movements - as well as movements in one direction - a pivot joint near the top of the spine allows the head to swivel and bend. Other pivot joints, in the forearm and lower leg, allow the wrist and ankle to twist.Buy gold Ligaments of The Hand and WristOn the radial shaft of the smaller forearm bone, just below its head, is a process called the "radial tuberosity." It serves to attach the biceps brachi muscle, which bends the arm at the elbow. At the lower end of the radius, a lateral "styloid process" provides attachments for the "palmar radiocarpal ligament" (on the palm of the hand) and the "dorsal radiocarpal ligament" (on the back of the hand) from the radius into the wrist. At the lower end of the larger forearm bone (ulna), its knob-like head articulates with a notch of the radius (ulnar notch) laterally and with a disk of fibrocartilage below. This disk, in turn, joins a wrist bone (the triquetrum). A medial "styloid process" at the lower end of the ulna provides attachments for ligaments ("palmar ulnocarpal ligament" and "dorsal ulnocarpal ligament") into the wrist. The skeleton of the wrist is made up of eight small "carpal bones" that are firmly bound in two rows of four bones each. The mass that results from these bones is called the "carpus." The carpus is rounded on its nearest surface, where it articulates with the radius and with the fibrocartilaginous disk on the ulnar side. The carpus is rounded convexly in the front, forming a canal (retinaculum) through which tendons, ligaments and nerves extend to the palm. Its distal surface articulates with the metacarpal bones, which are joined to the carpus by the "palmar carpometacarpal ligaments." Saddle JointsA "saddle" joint is more versatile than either a hinge joint or a gliding joint. It allows movement in two directions. The saddle joint gives the human thumb the ability to "cross over" the palm of the hand. Spine, Vertebra and DiskThe spine is a column of bone and cartilage that extends from the base of the skull to the pelvis. It encloses and protects the spinal cord and supports the trunk of the body and the head. The spine is made up of approximately thirty-three bones called "vertebrae." Each pair of vertebrae is connected by a joint which stabilizes the vertebral column and allows it to move. Between each pair of vertebrae is a disk-shaped pad of fibrous cartilage with a jelly-like core, which is called the "intervertebral" disk - or usually just the "disk". These disks cushion the vertebrae during movement. The entire spine encloses and protects the spinal cord, which is a column of nerve tracts running from every area of the body to the brain. The vertebrae are bound together by two long, thick ligaments running the entire length of the spine and by smaller ligaments between each pair of vertebrae. The anterior longitudinal ligament consists of strong, dense fibers, located inside the bodies of the vertebrae. They span nearly the whole length of the spine, beginning with the second vertebrae (or "axis"), and extending to the sacrum. The ligament is thicker in the middle (or "thoracic" region). Some of the shorter fibers are separated by circular openings, which allow for the passage of blood vessels. Several groups of muscles are also attached to the vertebrae, and these control movements of the spine as well as to support it. Quasimodo, the central character of Victor Hugo's novel, "The Hunchback of Notre Dame," is probably the most famous of all real or fictional sufferers of "kyphosis," an abnormal, backward curvature of the spine.
What is the least number of moves in the Tower of Hanoi puzzle with only 5 disks?
To move n disks, you need 2n-1moves. In this case, 31.
The least number of moves in the tower of hanoi puzzle with five disks?
The number of moves required to solve the Hanoi tower is 2m + 1 . Therefore for a tower of five disks the minimum number of moves required is: 31.
Least number of moves in the tower of hanoi puzzle with five disks?
The number of moves required to solve the Hanoi tower is 2m + 1 . Therefore for a tower of five disks the minimum number of moves required is: 31.
What is Towers of hanoi?
The Tower of Hanoi (also called the Tower of Brahma or Lucas' Tower, and sometimes pluralized) is a mathematical game or puzzle. It consists of three rods, and a number of disks of different sizes which can slide onto any rod.
How many moves does it take for the tower of hanoi if it has 7 disks?
127
How many moves does it take for the tower of hanoi if it has 52 disks?
100000000
What is the formula for the tower of Hanoi?
2 with an exponent of n minus onen=number of disks
Move 5 disks in the tower of hanoi algorithm?
/* tower of hanoi using recursion */ #include<stdio.h> int main(void) { unsigned int nvalue; char snvalue = 'L' , invalue = 'C' , dnvalue = 'R' ; void hanoi(unsigned int , char , char , char); printf(" enter number of disks : "); scanf("%u",&nvalue ); printf("\n\ntower of hanoi problem with %d disks \n ", nvalue )" hanoi(nvalue , snvalue , invalue , dnvalue ); printf("\n"); return 0 ; } void hanoi(unsigned n , char snd1 , char ind1 , char dnd1 ) { if(n!=0) { /* move n-1 disks from starting to intermadiate needles */ hanoi(n-1 , snd1 , dnd1 , ind1 ); /* move disk n from start to destination */ printf("move disk %d from %c to %c\n ", n , snd1 , dnd1); /* move n-1 disks from intermediate to destination needle */ hanoi(n-1 , ind1 , snd1 , dnd1 ); } }
What is the minimum amount of moves for 64 disks on tower of hanoi?
2^64-1 = 18446744073709551615
What is the number of moves for 20 disks on the tower of hanoi?
1,048,575 moves and I know because I did the math.
What is the game where you move rings on to a different post without putting larger disks on to smaller disks?
That game with 5 or more rings and 3 posts is known as "the Towers of Hanoi".
The least number of moves in tower of hanoi puzzle with 10 discs?
There is a formula for calculating the number of moves. The formula is 2^n-1. This means that to move one disk the number of moves can be calculated as 2^1-1. For two disks the calculation is 2^2-1. Using this formula the answer 1023 can be found
