
An affine transformation does not necessarily preserve angles between lines or distances between points, though it does preserve ratios of distances between points lying on a straight line. Consequently, sets of parallel affine subspaces remain parallel after an affine transformation.

More generally, an affine transformation is an automorphism of an affine space (Euclidean spaces are specific affine spaces), that is, a function which maps an affine space onto itself while preserving both the dimension of any affine subspaces (meaning that it sends points to points, lines to lines, planes to planes, and so on) and the ratios of the lengths of parallel line segments. In Euclidean geometry, an affine transformation, or an affinity (from the Latin, affinis, "connected with"), is a geometric transformation that preserves lines and parallelism (but not necessarily distances and angles). For instance, the red leaf can be transformed into both the dark blue leaf and any of the light blue leaves by a combination of reflection, rotation, scaling, and translation. Each of the leaves of the fern is related to each other leaf by an affine transformation. And, that’s all the equipment you need to get a kick-butt workout.An image of a fern-like fractal ( Barnsley's fern) that exhibits affine self-similarity. There’s something else that’s totally new about Transform :20.įor the first time ever on Beachbody On Demand, Shaun T has incorporated a STEP as a transformational tool. Never underestimate Shaun T! What equipment is needed? And if you’re thinking that 20 minutes isn’t enough for you, just you wait until your first workout.

This is what motivated him to create a program for everyone. As a new father himself, he finds less and less time to dedicate to his own workouts. He understands that there are many people who just don’t have the time to work out for long periods of time. So, he created this program with busy people in mind. Who is Transform :20 for?Įveryone! Shaun T is realistic. This is everyone getting to work and getting it done, together. The best part is you’ll be doing the program in real-time with new workouts every day. To get your mind right and keep you motivated, Shaun T is also creating weekly videos for your rest days to help you sharpen your focus, visualize your goals, and push you to finish strong. You’ll work everything - legs, upper body, glutes, and core. Hint: Don’t forget to track your transformer moves to monitor your progress week to week! Let’s not forget that you will get faster, more agile, more flexible, and take your endurance to another level. Transform :20 is a total body workout focused on scorching fat, flattening your stomach, and getting you stronger and leaner, 6 days/week for 6 weeks. Shaun T has created a new blockbuster at-home fitness program called Transform :20!Ĭheck this out to see what it’s all about:

He’s now better than ever, and it’s time to get to work on transforming your mind, body, and life! I have a surprise for you! What if I said have the opportunity to transform your body in 20 minutes per day? What’s more surprising is who will be motivating you to do it.Ĭan you believe it’s been over three years since Shaun T released a fitness program? For Shaun T fans like me, three years too long to wait for his motivational and extreme fitness style. “Conquer your mind, so you can transform your life.”
