Platonic solid

(noun)

any one of the following five polyhedra: the regular tetrahedron, the cube, the regular octahedron, the regular dodecahedron and the regular icosahedron

Related Terms

Examples of Platonic solid in the following topics:

  • Are Real Dice Fair?

    • The other four Platonic solids are the most common non-cubical dice; these can make for 4, 8, 12, and 20 faces .
    • A Platonic solids set of five dice; tetrahedron (four faces), cube/hexahedron (six faces), octahedron (eight faces), dodecahedron (twelve faces), and icosahedron (twenty faces).

  • An objective measure for finding the best line

    • The line that minimizes this least squares criterion is represented as the solid line in Figure 7.12.

  • Diagnostics for the email classifier

    • The curve fit using natural splines is shown in Figure 8.18 as a solid black line.
    • The solid curve and its confidence bound dips below the dashed line from about 0.1 to 0.3, and then it drifts above the dashed line from about 0.35 to 0.55.
    • The solid black line provides the empirical estimate of the probability for observations based on their predicted probabilities (confidence bounds are also shown for this line), which is fit using natural splines.

  • Introducing the t distribution

    • A t distribution, shown as a solid line in Figure 5.10, has a bell shape.
    • Comparison of a t distribution (solid line) and a normal distribution (dotted line).

  • The Purpose of Statistics

    • With the appropriate tools and solid grounding in the field, one can use a limited sample (e.g., reading the first five chapters of Pride & Prejudice) to make intelligent and accurate statements about the population (e.g., predicting the ending of Pride & Prejudice).

  • The Density Scale

    • The kernels are summed to make the kernel density estimate (the solid blue curve).

  • Counting Rules and Techniques

    • Combinatorial techniques are applicable to many areas of mathematics, and a knowledge of combinatorics is necessary to build a solid command of statistics.

  • Outliers

    • This graph shows a best-fit line (solid blue) to fit the data points, as well as two extra lines (dotted blue) that are two standard deviations above and below the best fit line.

  • Finding the least squares line

    • Plot the point (101.8,19.94) on Figure 7.12 on page 324 to verify it falls on the least squares line (the solid line).

  • Conditional probability exercises

    • A 2010 Pew Research poll asked 1,306 Americans "From what you've read and heard, is there solid evidence that the average temperature on earth has been getting warmer over the past few decades, or not?